### statistics

error and the sample mean?

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A biologist reports a confidence interval of (2.0,2.4) when estimating the mean height (in centimeters) of a sample of seedlings. What is the estimated margin of

error and the sample mean?

error and the sample mean?

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[order_calculator] Why are uniform laws like the UCITA and the UETA necessary? Does it make any difference if these uniform laws are not enacted in every state?

How should the law be applied to a dispute arising from a deal that involves a party in a state in which the laws are enacted and a party in a state in which

they are not enacted?

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[order_calculator]Give full answer.

For question #2 calculations must be done in Minitab

A sample of 10 was taken from an in-control process. A variance of 4.2 and a mean of 23.2 were calculated. Determine the 95% confidence

interval on the mean and standard deviation. Explain any potential problems with this analysis.

A normal population has a mean of 21.0 and a standard deviation of 6.0.

What proportion of the population is less than 17.0? **(Round z-score computation to 2 decimal places and
your final answer to 4 decimal places.)**

. The U.S Dairy industry wants to estimate the mean yearly milk consumption. A sample of 16 people reveals the mean yearly consumption to be 60 gallons with a

standard deviation of 20 gallons. A) What is the value of the population mean? What is the best estimate of this value? B) Explain why we need to use the t

distribution. What assumption do you need to make? C) For a 90% confidence interval, what is the value of t? D) Develop the 90% confidence interval for the

population mean is 63 gallons? E) Would it be reasonable to conclude that the population mean is 63 gallons?

standard deviation of 20 gallons. A) What is the value of the population mean? What is the best estimate of this value? B) Explain why we need to use the t

distribution. What assumption do you need to make? C) For a 90% confidence interval, what is the value of t? D) Develop the 90% confidence interval for the

population mean is 63 gallons? E) Would it be reasonable to conclude that the population mean is 63 gallons?

I have 4 problems that I need solved in statistics. I would like it solved showing step by step before the deadline.

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1994

2357587

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1.0780000000000001

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1.1579999999999999

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1.2450000000000001

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20.833280444038341

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1.0720000000000001

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1.1759999999999999

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1.5229999999999999

21.092475620603114

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21.180199788289752

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1.3859999999999999

21.05253837370579

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1.603

21.100830612374853

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21.181857740120876

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2.3140000000000001

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2.6179999999999999

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2.843

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2976528

40947

3.2989999999999999

21.540573396057965

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2.4060000000000001

21.438758740242115

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39791

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21.518511469366338

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3.5760000000000001

21.832517874466646

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2938535

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22.017624469502202

Year

VMT

Income

Avg. Gas price

(Million miles)

($/capita)

($/gal)

(mpg)

Fleet Fuel Economy

Automobiles arrive at the Elkhart exit of the Indiana Toll Road at the rate of two per minute. The distribution of arrivals approximates a Poisson distribution. A)

What is the probability that no automobiles arrive in a particular minute? B) What is the probability that at least one automobile arrives during a particular

minute?

What is the probability that no automobiles arrive in a particular minute? B) What is the probability that at least one automobile arrives during a particular

minute?

Three defective electric tooth brushes were shipped to a drug store by Clean Brush Products along with 17 non defective ones. A) What is the probability the first

two electric toothbrushes sold will be returned because they are defective? B)What is the probability the first 2 brushes sold will not be defective?

two electric toothbrushes sold will be returned because they are defective? B)What is the probability the first 2 brushes sold will not be defective?

Given two i.i.d random variables (X, Y ) show that (a) If at least one of X or Y has expectation equal to zero then Cov(X, Y ) = E[XY ]. (b) Now use this to

calculate E(X2) when E(X) = 0 (c) Use the definition of covariance to show that Cov(AX + a, BY + b) = AB A?路 Cov(X, Y ) for constants (A, B, a, b). (d)

UsethedefinitionofvariancetoshowthatVar(X+Y)=Var(X)+Var(Y)+2Cov(X,Y) (e) Use (d) to show that the population correlation coefficient is between [?1, 1]

calculate E(X2) when E(X) = 0 (c) Use the definition of covariance to show that Cov(AX + a, BY + b) = AB A?路 Cov(X, Y ) for constants (A, B, a, b). (d)

UsethedefinitionofvariancetoshowthatVar(X+Y)=Var(X)+Var(Y)+2Cov(X,Y) (e) Use (d) to show that the population correlation coefficient is between [?1, 1]

show that the probability of the union of events A and B can be written as follows: P(AUB)=P(A) + P(B) [1-P(A|B)]

In a Poisson distribution U=4. A) What is the probability that X=2? B) What is the probability that X is 2?

A quality control manager found that 30% of work related problems occurred on Mondays, and that 20% occurred in the last hour of the day’s shift. It was also found

that 4% of worker related problems occurred in the last hour of MOnday’s shift What is the problbility that a worker related problem will occurred on a monday but

not in the last hour of the days’s shift?

that 4% of worker related problems occurred in the last hour of MOnday’s shift What is the problbility that a worker related problem will occurred on a monday but

not in the last hour of the days’s shift?

A recent article in the Cincinnati Enquirer reported that the mean labor cost to repair a heat pump is $90 with a standard deviation of $22. Montes Plumbing and

Heating Service completed repairs on two heat pumps this morning. The labor cost for the first was $75 and it was $100 for the second. Assume the distribution of

labor costs follows the normal probability distribution. Compute Z values for each and comment on findings.

Heating Service completed repairs on two heat pumps this morning. The labor cost for the first was $75 and it was $100 for the second. Assume the distribution of

labor costs follows the normal probability distribution. Compute Z values for each and comment on findings.

The NJ Bureau of Employment gathered the following sample information on the number of hours unemployed workers spent looking for work last week. Hours Spent

Searching Number of Unemployed 0 up to 20 12 20 up to 40 28 40 up to 60 60 60 up to 80 40 80 up to 100 20 (a) Determine the mean. (b) Determine the standard

deviation.

Searching Number of Unemployed 0 up to 20 12 20 up to 40 28 40 up to 60 60 60 up to 80 40 80 up to 100 20 (a) Determine the mean. (b) Determine the standard

deviation.

The number of computers sold per day by Dans Computer Work is defined by the following probability distribution:

X- 0,1,2,3,4,5,6

P(x)- 0.05, 0.10, 0.20, 0.20, 0.15, 0.10

A. P(3

B. P(x>3)=?

C. P(x

D. P(2

Suppose there are 400 possible points to earn in an economics class. For the purposes of this problem, we’ll assume that there are only 4 possible outcomes. The

Distribution Function is given as the following: Score F(S) 250 .1 300 .4 350 .75 400 1

Distribution Function is given as the following: Score F(S) 250 .1 300 .4 350 .75 400 1

The weights of a sample of five boxes being sent by FedEx are: 48, 24, 28, 12, and 40. (a) Compute the range. (b) Compute the mean deviation. (c) Compute the

standard deviation.

standard deviation.

A student is taking two courses, History and Math. The probability that the student will pass the history course is .60, and the probability of passing the math

class is .70. The probability of passing both is .50. What is the probability of passing at least one?

class is .70. The probability of passing both is .50. What is the probability of passing at least one?

A study by the Information Technology department at WPU revealed company employees receive an average of four e-mails per hour. Assume the arrival of these e-mails

is approximated by the Poisson distribution. (a) What is the probability , Prof. Smith, received exactly one e-mail between 4pm and 5pm yesterday? (b) What is the

probability he did not receive any e-mail during this period? (c) What is the probability he received ten or more e-mails during the same period?

is approximated by the Poisson distribution. (a) What is the probability , Prof. Smith, received exactly one e-mail between 4pm and 5pm yesterday? (b) What is the

probability he did not receive any e-mail during this period? (c) What is the probability he received ten or more e-mails during the same period?

In the Ranking Elasticity discussion forum, consider the following list of seven goods and then rank them from most (1) to least (7) elastic: a. Beef b. Salt c.

European vacation (the event, not the movie) d. Steak e. Season 1 of the “I Love Lucy”? show on DVD f. Honda Accord g. Dijon mustard

European vacation (the event, not the movie) d. Steak e. Season 1 of the “I Love Lucy”? show on DVD f. Honda Accord g. Dijon mustard

These questions must be done in excel

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Summer 2013

Problem Set #3

Hypothesis Testing

1. University of Maryland University College is concerned that out of state students may be receiving lower grades than Maryland students. Two independent random samples have been selected: 175 observations from population 1 (Out of state students) and 187 from population 2 (Maryland students). The sample means obtained are X1(bar)=85 and X2(bar)=86. It is known from previous studies that the population variances are 9.2 and 8.3 respectively. Using a level of significance of .01, is there evidence that the out of state students may be receiving lower grades? Fully explain your answer.

Simple Regression

2. A CEO of a large plastics manufacturing company would like to determine if she should be placing more money allotted in the budget next year for television advertising of a new baby bottle marketed for controlling reflux and reducing gas. She wonders whether there is a strong relationship between the amount of money spent on television advertising for this new baby bottle called Gentle Bottle and the number of orders received. The manufacturing process of this baby bottle is very difficult and requires advanced quality control so the CEO would prefer to generate a stable number of orders. The cost of advertising is always an important consideration in the phase I roll-out of a new baby bottle. Data that have been collected over the past 20 months indicate the amount of money spent of television advertising and the number of orders received.

The use of linear regression is a critical tool for a manager’s decision-making ability. Please carefully read the example below and try to answer the questions in terms of the problem context. The results are as follows:

Month Advertising Cost Number of…

Excel file is for question 1.

Please submit all calculations with solutions.

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(1) Compute a one-sample t-test comparing the age of your sample to the age of the general population of college students in traditional on-ground universities. Assume the population mean is 21.

Move your output into a Microsoft Word document and write a 1-paragraph, APA-formatted interpretation of the results.

(2) Suppose you have information that the average stress score of students in online universities is 13.15.

Using Minitab, compute a one-sample t-test to find out whether the stress scores reported by your sample are significantly different from those of the population of online students.

Report your analyses in APA format and write an APA-formatted interpretation of your results for each test.

Move your output into a 1-page Microsoft Word document and write your interpretation of the one-sample t-test following the data output for the test.

(3) When computing a t-test, it is important to distinguish between directional and nondirectional hypotheses as the direction will determine the rejection regions. Describe how the rejection regions would differ according to the type of hypothesis you would use.

An insurance company asks you to determine whether older drivers are safer than younger ones. Provide a directional hypothesis related to this study. Then, explain how you would need to change the hypothesis so that it would be nondirectional. What happens to the rejection regions and why? Which of the two hypotheses do you think is more appropriate and why?

(4) Imagine that you have population data with an average height of 5 feet 10 inches. Conduct a one-sample t-test to determine whether your sample population is significantly different from the general population.

Imagine that you have population data with an average satisfaction with a job score of 5. Conduct a one-sample t-test to determine whether your sample population is significantly more or less satisfied than the general population.

Be sure to use the proper df and provide all the steps of…

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Data for question 1

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Age

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Freshman

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Data for question 1

A random sample of 150 adults is chosen. 37 of these adults smoke from time time. What is the probability that between 21% and 28% of these adults smoke from time to time.

The problem:

Due to financial hardship, the Nyke shoe company feels they only need to make one size of shoes,

regardless of gender or height. They have collected data on gender, shoe size, and height and have

asked you to tell them if they can change their business model to include only one size of shoes â

regardless of height or gender of the wearer. In no more 5-10 pages (including figures), explain your

recommendations, using statistical evidence to support your findings. The data found are below:

Due to financial hardship, the Nyke shoe company feels they only need to make one size of shoes,

regardless of gender or height. They have collected data on gender, shoe size, and height and have

asked you to tell them if they can change their business model to include only one size of shoes â

regardless of height or gender of the wearer. In no more 5-10 pages (including figures), explain your

recommendations, using statistical evidence to support your findings. The data found are below:

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STA-201: PRINCIPLES OF STATISTICS Final Project You are required to complete a final project. Please consult the Course Calendar for the due date. Project Description Statistics is about more than calculations. It is about turning data into information and using this information to understand the population. A statistician will be asked to help solve real world problems by designing a study, collecting data, analyzing the data, and writing up the results. As a final project, you will be asked to do something similar. Though the design and data collection will be done for you, you will be asked to analyze the data using the appropriate tests (ensuring the data are distributed normally) and write up the results, using statistical evidence to support your findings. Lastly, you will be asked to include recommendations, that is, apply the results to solve the real world problem. In your paper, explain why you chose each statistical test, figure, or procedure. The problem: Due to financial hardship, the Nyke shoe company feels they only need to make one size of shoes, regardless of gender or height. They have collected data on gender, shoe size, and height and have asked you to tell them if they can change their business model to include only one size of shoes â regardless of height or gender of the wearer. In no more 5-10 pages (including figures), explain your recommendations, using statistical evidence to support your findings. The data found are below: Show Size Height Gender 5.00 63.00 Female 7.50 70.00 Female 9.00 70.00 Female 7.00 64.00 Male 11.00 72.00 Male 12.00 72.00 Male 14.00 76.00 Male 7.00 66.00 Female 7.50 71.00 Female 8.00 68.00 Female Thomas Edison State College. All Rights Reserved.

10.50 71.00 Male 11.00 71.00 Male 6.50 65.00 Female 7.00 67.00 Female 7.50 70.00 Female 10.00 69.00 Male 12.00 69.00 Male 6.50 65.00 Female 10.50 72.00 Male 12.00 73.00 Male 6.00 60.00 Female 6.50 64.00 Female 10.00 72.00 Female 9.50 69.00 Male 11.50 70.00 Male 14.00 75.00…

In

order to estimate the mean 30-year fixed mortgage rate for a home loan in the

United States, a random sample of 28 recent loans is taken. The average

calculated from this sample is 5.25%. It can be assumed that 30-year fixed

mortgage rates are normally distributed with a standard deviation of 0.50%.

Compute a 90% and a 99% confidence interval for the population mean 30-year

fixed mortgage rate. UseTable

1

The following statistics were found using the 23 gas prices submitted for the project.

n = 23

ÂŻx = $3.25

s = 0.11

In this case the population standard deviation is unknown

a.What is the point estimate of the population mean?

b.What is the point estimate of the population standard deviation?

c.What are…

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Suppose, in a study was conducted to see if receiving speeding violation and car phone use were independent. In this study, 755 drivers were surveyed. Out of 755, 70 had a speeding violation and 685 did not; 305 were car phone users and 450 were not.

Car phone user Not a car phone user Total:

Received speeding violation 38 32 70

Did not received speeding violation 267 418 685

Total: 305 450 755

Use a 5% level of significance, to see if receiving speeding violation is independent of car phone use?

**EXPECTATIONS**

– Draw graphs and charts when appropriate and necessary to demonstrate your reasoning! Label all graphs and charts!

– Display formulas. Write complete sentences to summarize your conclusions.

– If use any table values, clearly state which tables you used (e.g. Table A-2, etc.).

-Attach excel output when appropriate or necessary (e.g. a scatterplot, etc.)

**HYPOTHESIS TESTING QUESTIONS**

Your work for all statistical hypothesis testing questions should include the following:

1. Established Ho and Ha.

2. Summary statistics (either computed or given in the problem)

3. The name of the test (e.g. 2sampleTtest or T-test about correlation, etc.)

4. A formula to compute a test statistic (e.g. 1Prop-Z test statistic, etc.)

5. A p-value of the test and/or a critical value from a statistical table.

6. Clearly state the decision rule you use the reach a conclusion. (You may have to sketch a graph to show rejection regions.) Do you Reject Ho or do you Fail to Reject Ho

7. State your conclusion in plain language. Use complete sentences.

Must show work

1) state hypothesis and identify the claim

2) find critical value(s)

3) compute test value

4) make decision to reject or not reject null hypothesis

5) summarize results

Can use excel.

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Exam 4 1 Instructions: -You may work on the exam either alone or with one other student from your section; if you choose the latter option, you only need to turn in one exam (with both names on it). -The exam is due IN CLASS ON MONDAY, DECEMBER 10, 2012. -You must turn the exam in IN-PERSON, IN CLASS. -USE SEPARATE SHEETS OF PAPER FOR YOUR WORK AND ANSWERS. -I will deduct twenty (20) points from your grade for the exam for every hour that it is late -Please retain a copy of your exam. -SHOW YOUR WORK. -IF YOU ARE USING EXCEL FOR ANY PORTION OF THE EXAM, PROVIDE THE PRINTOUT TO RECEIVE FULL CREDIT. -USE PROPER NOTATIONS. **If you have any substantive questions, you must ask them in class on either Wednesday, December 3, 2012 or via OnCourse no later than 5:00 PM on Saturday, December 8, 2012. I will not respond to any emails after that time.** Question 1 (20 points) A sample of 5 local mixed martial arts studios shows their profits (in thousands of dollars) 5 years ago and their profits (in thousands of dollars) today. At a = 0.05, can it be concluded that the average in profits for these studios is greater today than it was 5 years ago? Assume the variables are normally distributed. Use the traditional method of hypothesis testing. HINT: make sure you think hard about your alternative hypothesis. Studio Profit 5 Years Ago Profit Today Dragon 120 150 Monkey 100 95 Phoenix 200 260 Centaur 80 100 Liger 65 85 Extra Credit 1 (3 points) Do Question 1 using the Data Analysis add-on in Excel. Provide a printout of your results. Extra Credit 2 (2 points) From your results in Extra Credit 1, if you were using the p-value method, what would your p-value be?

K300 Spring 2012 Exam 4 Chang 2 Question 2 (6 points) The following are data from a sample of minutes an individual spends outdoors per day and his or her corresponding IQ. Using the data, provide the regression line equation. Name Minutes Spent Outdoors Per Day IQ Al 30 150 Bea 150 100 Cee 10 90 Dee 5 120 Esau 85 120…

Will have more data as soon as instructor posts.

Statistics Project

For this assignment, you will implement a project involving statistical procedures. The topic may be something that is related to your work, a hobby, or something you found interesting. If you choose, you may use the example described below.

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Will have more data as soon as instructor posts.

Statistics Project

For this assignment, you will implement a project involving statistical procedures. The topic may be something that is related to your work, a hobby, or something you found interesting. If you choose, you may use the example described below.

The project report must include

name of project and your name

purpose of project

data (provide the raw data used, and cite the source)—the sample size must be at least 10

median, sample mean, range, sample variance, and sample standard deviation (show work)

frequency distribution

histogram

percentage of data within one standard deviation of the mean, percentage of data within two standard deviations of the mean, percentage of data within three standard deviations of the mean (include explanation and interpretation). For a bell-shaped distribution, the respective percentages are approximately 68%, 95%, and 100%. Do your percentages imply that your data distribution is approximately bell-shaped? Note that the answer could be Yes or No, depending on your data. You can also look at the shape of your histogram (is it roughly bell-shaped?) as well as the percentages when making your judgment.

conclusion (several paragraphs interpreting your statistics and graphs; relate to the purpose of the project)

If you choose, you may use the following example for your data.

Purpose: Compare the amount of sugar in a standard serving size of different brands of cereal. (You may instead choose to compare the amount of fat, protein, salt, or any other category in cereal or some other food.)

Procedure: Go to the grocery store (or your pantry) and pick at least 10 different brands of cereal. (Instead of choosing a random sample, you might purposely pick from both the “healthy” cereal types and the “sugary” ones.)

From the cereal box, record the suggested serving size and the amount of sugar per serving. The raw data is the serving size and amount of sugar per serving…

1. Using the data set below, please calculate the:

1 4 2.5 5 3

– Range

– What would be the percentile rank of the number 2.5?

2. Fifteen countries were randomly selected from the World Factbook 2004 list of world countries, and the infant mortality per 1000 live births rate was recorded:

6.38 101.68 9.48 69.18 64.19 3.73 21.31 52.71

13.43 29.64 15.24 5.85 11.74 9.67 8.68

Find the first and third quartile for the infant mortality per 1000 rate.

**Probability**

**1**. Suppose that the mean of the annual return for common stocks from 2000 to 2012 was 7.2%, and the standard deviation of the annual return was 31.2%. Suppose also that during the same 12-year time span, the mean of the annual return for long-term government bonds was 1.6%, and the standard deviation was 7.0%. The distributions of annual returns for both common stocks and long-term government bonds are bell-shaped and approximately symmetric in this scenario. Assume that these distributions are distributed as normal random variables with the means and standard deviations given previously.

- Find the probability that the return for common stocks will be greater than 3.5%.
- Find the probability that the return for common stocks will be greater than 10%.

Hint: There are many ways to attack this problem in the HW. If you would like the normal distribution table so you can draw the pictures (my preferred way of learning) then I suggest you bookmark this site:

http://www.statsoft.com/textbook/sttable.html

**Confidence Interval Estimation**

**2.** Compute a 95% confidence interval for the population mean, based on the sample 50, 54, 55, 51, 52, 51, 54, 52, 56, and 53. Change the last number from 53 to 91 and recalculate the confidence interval. Using the results, describe the effect of an outlier or extreme value on the confidence interval.

**Hypothesis Testing**

**3.** The management of XYZ Corporation is considering relocating the corporate office to a new location outside the Capital Beltway. Management is concerned that the commute times of the employees to the new office might be too long.

The company decides to survey a sample of employees at other companies in the same office park to see how long these employees are commuting to the office. A sample of 18 employees indicated that the employees are commuting X (bar) = 40 minutes and s = 5 minutes.

a. Using the 0.05 level of significance, is there evidence that the population mean is above 35 minutes?

b. What is your answer in (a) if X (bar) = 42 minutes and s = 20 minutes?

c. Look at your answers for a and b above and discuss what you can learn from the results about the effect of a large standard deviation.

**4.**BestCoffeeInTown is concerned that the mean wait time of customers for a table is not greater than 7 minutes. It can be assumed that the population standard deviation is 2.8 minutes based on past experience. A sample of 300 customers is selected and the sample mean is 7.6 minutes. Using a level of significance of .01, is there evidence that the population mean wait time is greater than 7 minutes? Fully explain your answer.

Question 1: Use the following eight Scriptures and attach probabilities to each.

1. Gen. 22:18 |
As Isaac’s seed, will bless all nations |

2. Gen. 49:10 |
The Seed of Judah |

3. Num. 9:12 |
Not a bone of Him broken |

4. 2 Sam. 7:12 |
David’s Seed |

5. Psa. 22:2 |
Darkness upon Calvary for three hours |

6. Psa. 22:12-13 |
They seek His death |

7. Psa. 31:11 |
His acquaintances fled from Him |

8. Psa. 38:20 |
He went about doing good |

Question 2: Stoner’s eight prophecies can be found at (Starting on page 46):

http://yearofourlord.org/1_bible_divinity_of_christ/ScienceSpeaks.pdf

Question 3: You should have three separate numeric answers here.

P.S. If you are interested, the links to read both books online. They are located below:

http://www.angelfire.com/sc3/myredeemer/Evidence.html

http://yearofourlord.org/1_bible_divinity_of_christ/ScienceSpeaks.pdf

If many samples of size 100 (that is, each sample consists of 100 items) were taken from a large non-normal population with a mean of 10 and variance of 16, what would be the mean, variance, standard deviation and shape of the distribution of sample means? Give reasons for your answers.

Note: Variance is the square of the standard deviation

Homework must be received by 10/6/2013 by 12PM EST.

- Isle Royale, an island in Lake Superior, has provided an important study site of wolves and their prey. Of special interest is the study of the number of moose killed by wolves. In the period from 1958 to 1974, there were 296 moose deaths identified as wolf kills. The age distribution of the kills is as follows.

Age of Moose in Years Number Killed by Wolves Calf (0.5 yr)

1-5

6-10

11-15

16-20106

47

72

67

4(a) For each age group, compute the probability that a moose in that age group is killed by a wolf. (Use 3 decimal places.)

0.5 1-5 6-10 11-15 16-20 (b) Consider all ages in a class equal to the class midpoint. Find the expected age of a moose killed by a wolf and the standard deviation of the ages. (Use 2 decimal places.)

- A stationary store has decided to accept a large shipment of ball-point pens if an inspection of17 randomly selected pens yields no more than two defective pens.(a) Find the probability that this shipment is accepted if 5% of the total shipment is defective. (Use 3 decimal places.)
(b) Find the probability that this shipment is not accepted if 15% of the total shipment is defective. (Use 3 decimal places.)

*Consumer Reports*rated airlines and found that76% of the flights involved in the study arrived on time (that is, within 15 minutes of scheduled arrival time). Assuming that the on-time arrival rate is representative of the entire commercial airline industry, consider a random sample of211 flights. (Round your answers to two decimal places.)What is the expected number that will arrive on time

What is the standard deviation of this distribution?

- The Orchard Cafe has found that about10% of the diners who make reservations don’t show up. If79 reservations have been made, how many diners can be expected to show up? Find the standard deviation of this distribution. (Use 2 decimal places.)

- Consumer Banker Association released a report showing the lengths of automobile leases for new automobiles. The results are as follows.

Lease Length in Months Percent of Leases 13-24

25-36

37-48

49-60

More than 6014.5%

37.9%

25.3%

21.8%

0.5%(a) Use the midpoint of each class, and call the midpoint of the last class 66.5 months, for purposes of computing the expected lease term. Also find the standard deviation of the distribution. (Use 2 decimal places.)

- According to
*Harper’s Index*,50% of all federal inmates are serving time for drug dealing. A random sample of17 federal inmates is selected.(a) What is the probability that 13 or more are serving time for drug dealing? (Use 3 decimal places.)(b) What is the probability that 6 or fewer are serving time for drug dealing? (Use 3 decimal places.)

(c) What is the expected number of inmates serving time for drug dealing? (Use 1 decimal place.)

- State Farm Insurance studies show that in Colorado,50% of the auto insurance claims submitted for property damage were submitted by males under 25 years of age. Suppose9 property damage claims involving automobiles are selected at random.(a) Let
*r*be the number of claims made by males under age 25. Make a histogram for the*r*-distribution probabilities.

(b) What is the probability that seven or more claims are made by males under age 25? (Use 3 decimal places.)

(c) What is the expected number of claims made by males under age 25? What is the standard deviation of the

*r*-probability distribution? (Use 2 decimal places.)

Loaded dice? You might be suspecting that you have a loaded die. To test this assumption, you roll the die 300 times and observe the frequency of occurrence of each of the faces:

Face value Occurrence

1 42

2 55

3 38

4 57

5 64

6 44

At a 5% significance level, do you have sufficient sample data evidence to believe that the die is loaded?

**EXPECTATIONS**

– Draw graphs and charts when appropriate and necessary to demonstrate your reasoning! Label all graphs and charts!

– Display formulas. Write complete sentences to summarize your conclusions.

– If use any table values, clearly state which tables you used (e.g. Table A-2, etc.).

-Attach excel output when appropriate or necessary (e.g. a scatterplot, etc.)

**HYPOTHESIS TESTING QUESTIONS**

Your work for all statistical hypothesis testing questions should include the following:

1. Established Ho and Ha.

2. Summary statistics (either computed or given in the problem)

3. The name of the test (e.g. 2sampleTtest or T-test about correlation, etc.)

4. A formula to compute a test statistic (e.g. 1Prop-Z test statistic, etc.)

5. A p-value of the test and/or a critical value from a statistical table.

6. Clearly state the decision rule you use the reach a conclusion. (You may have to sketch a graph to show rejection regions.) Do you Reject Ho or do you Fail to Reject Ho

7. State your conclusion in plain language. Use complete sentences.

Eleven employees were put under the care of the company nurse because of high cholesterol readings. The nurse lectured them on the dangers of this condition and put them on a new diet. Shown are the cholesterol readings of the 11 employees both before the new diet and one month after use of the diet began. At 5% level of significance, test the claim that the new diet is effective in lowering cholesterol. Assume differences in cholesterol readings are normally distributed in the population.

Employee Before After

1 255 197

2 230 225

3 290 215

4 242 215

5 300 240

6 250 235

7 215 190

8 230 240

9 225 200

10 219 203

11 236 223

**EXPECTATIONS**

– Draw graphs and charts when appropriate and necessary to demonstrate your reasoning! Label all graphs and charts!

– Display formulas. Write complete sentences to summarize your conclusions.

– If use any table values, clearly state which tables you used (e.g. Table A-2, etc.).

-Attach excel output when appropriate or necessary (e.g. a scatterplot, etc.)

**HYPOTHESIS TESTING QUESTIONS**

Your work for all statistical hypothesis testing questions should include the following:

1. Established Ho and Ha.

2. Summary statistics (either computed or given in the problem)

3. The name of the test (e.g. 2sampleTtest or T-test about correlation, etc.)

4. A formula to compute a test statistic (e.g. 1Prop-Z test statistic, etc.)

5. A p-value of the test and/or a critical value from a statistical table.

6. Clearly state the decision rule you use the reach a conclusion. (You may have to sketch a graph to show rejection regions.) Do you Reject Ho or do you Fail to Reject Ho

7. State your conclusion in plain language. Use complete sentences.

- What is the age distribution of promotion-sensitive shoppers? A
*supermarket super shopper*is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon.

Age range, years 18-28 29-39 40-50 51-61 62 and over Midpoint *x*23 34 45 56 67 Percent of super shoppers 5% 41% 26% 11% 17% For the 62-and-over group, use the midpoint 67 years.(a) Using the age midpoints

*x*and the percentage of super shoppers, do we have a valid probability distribution? Explain.No. The events are indistinct and the probabilities sum to more than 1.Yes. The events are indistinct and the probabilities sum to less than 1.Yes. The events are distinct and the probabilities sum to 1.Yes. The events are distinct and the probabilities do not sum to 1.No. The events are distinct and the probabilities sum to 1.

(b) Use a histogram to graph the probability distribution of part (a).(c) Compute the expected age of a super shopper. (Round your answer to two decimal places.)

= yr(d) Compute the standard deviation for ages of super shoppers. (Round your answer to two decimal places.)

= yr - What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Suppose we have the following information.
*Note:*In 1851 there were 25,466 nurses in Great Britain.

Age range (yr) 20-29 30-39 40-49 50-59 60-69 70-79 80+ Midpoint *x*24.5 34.5 44.5 54.5 64.5 74.5 84.5 Percent of nurses 5.3% 9.8% 19.3% 29.2% 25.0% 9.6% 1.8% (a) Using the age midpoints

*x*and the percent of nurses, do we have a valid probability distribution? Explain.Yes. The events are distinct and the probabilities sum to 1.No. The events are indistinct and the probabilities do not sum to 1.Yes. The events are distinct and the probabilities do not sum to 1.No. The events are indistinct and the probabilities sum to 1.

(b) Use a histogram to graph the probability distribution in part (a).(c) Find the probability that a British nurse selected at random in 1851 would be 60 years of age or older. (Round your answer to three decimal places.)

(d) Compute the expected age of a British nurse contemporary to Florence Nightingale. (Round your answer to two decimal places.)

yr(e) Compute the standard deviation for ages of nurses shown in the distribution. (Round your answer to two decimal places.)

yr *USA Today*reported that approximately 25% of all state prison inmates released on parole become repeat offenders while on parole. Suppose the parole board is examining five prisoners up for parole. Let*x*= number of prisoners out of five on parole who become repeat offenders.

*x*0 1 2 3 4 5 *P*(*x*)0.208 0.372 0.230 0.170 0.019 0.001 (a) Find the probability that one or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.)

How does this number relate to the probability that none of the parolees will be repeat offenders?This is the complement of the probability of no repeat offenders.This is five times the probability of no repeat offenders.These probabilities are the same.These probabilities are not related to each other.This is twice the probability of no repeat offenders.

(b) Find the probability that two or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.)(c) Find the probability that four or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.)

(d) Compute , the expected number of repeat offenders out of five. (Round your answer to three decimal places.)

= prisoners(e) Compute , the standard deviation of the number of repeat offenders out of five. (Round your answer to two decimal places.)

= prisoners- The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to be donated to the Samaritan Center for the Homeless. A local travel agency donated the cruise, valued at $2000. The students sold2034 raffle tickets at $5 per ticket.(a) Kevin bought fourteen tickets. What is the probability that Kevin will win the spring break cruise to the Caribbean? (Round your answer to five decimal places.)
What is the probability that Kevin will not win the cruise? (Round your answer to five decimal places.)

(b) Expected earnings can be found by multiplying the value of the cruise by the probability that Kevin will win. What are Kevin’s expected earnings? (Round your answer to two decimal places.)

$Is this more or less than the amount Kevin paid for the fourteen tickets?

—Select— less moreHow much did Kevin effectively contriute to the Samaritan Center for the Homeless? (Round your answer to two decimal places.)

$ - Sara is a 60-year-old Anglo female in reasonably good health. She wants to take out a $50,000 term (that is, straight death benefit) life insurance policy until she is 65. The policy will expire on her 65th birthday. The probability of death in a given year is provided by the Vital Statistics Section of the
*Statistical Abstract of the United States*(116th Edition).

*x*= age60 61 62 63 64 *P*(death at this age)0.00634 0.00809 0.00875 0.00972 0.01126 Sara is applying to Big Rock Insurance Company for her term insurance policy.(a) What is the probability that Sara will die in her 60th year? (Use 5 decimal places.)

Using this probability and the $50,000 death benefit, what is the expected cost to Big Rock Insurance?

$(b) Repeat part (a) for ages 61, 62, 63, and 64.

Age Expected Cost 61 $ 62 $ 63 $ 64 $ What would be the total expected cost to Big Rock Insurance over the years 60 through 64?

$(c) If Big Rock Insurance wants to make a profit of $700 above the expected total cost paid out for Sara’s death, how much should it charge for the policy?

$(d) If Big Rock Insurance Company charges $5000 for the policy, how much profit does the company expect to make?

$

Need help, must answer questions and complete before 11pm Oct, 11,2013.

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1 Suppose that the average song length in America is 4 minutes with a standard deviation of 1.25 minutes. It is known that song length is not normally distributed. Find the probability that a single randomly selected song from the population will be longer than 4.25 minutes. Round to the nearest thousandth.

Answer

A. 0.579

B. 0.079

C. 0.421

D. This probability cannot be determined because we do not know the distribution of the population.

2 An outcome of an experiment or study that is large enough to have a real effect on people’s health or lifestyle is said to have clinical significance.

Answer

True

False

3 Are average SAT scores higher in schools where a smaller percentage of graduating students take the test? To answer this question 10 schools are sampled and the average SAT and percentage of students taking the test were recorded. 2002 SAT results of regional high schools were sampled and the data is given below. Use that data to test if there is a relation between the proportion of seniors that take the test and the average SAT scores. At 95% confidence level.

2002 SAT results of a sample of Western North Carolina High Schools.

Mean SAT scores

1106

1040

1013

1066

1061

1075

1058

997

1014

965

Percent tested

61

59

44

54

72

74

80

32

49

What is R2 for the equation?

A. R2=0.793

B.B. R2= 0.429

C. C. R2=0.326

D. D. R2=0.357

4. Suppose the Acme Drug Company develops a new drug, designed to prevent colds. The company states that the drug is equally effective for men and women. To test this claim, they choose a simple random sample of 100 women and 200 men from a population of 100,000 volunteers. At the end of the study, 38% of the women caught a cold; and 51% of the men caught a cold. State the null and alternative hypothesis:

Answer

A. H0: p1 = p2 : HA: p1 = p2 :

B. H0: p1 p2 HA: p1> p2 :

D. H0: p1 ? p2 HA: p1= p2 :

5 An insurance company…

- Consider a binomial distribution with6 trials. Look at abinomial probability distribution table showing binomial probabilities for various values of
*p*, the probability of success on a single trial.(a) For what value of*p*is the distribution symmetric?*p*=What is the expected value of this distribution?

- The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample ofseven syringes taken from the batch. Suppose the batch contains5% defective syringes.(a) Make a histogram showing the probabilities of
*r*= 0, 1, 2, 3, …, 6 and 7 defective syringes in a random sample of sevensyringes.

(b) Find . (Enter your answer to two decimal places.)

= syringesWhat is the expected number of defective syringes the inspector will find? (Enter your answer to two decimal places.)

syringes(c) What is the probability that the batch will be accepted? (Round your answer to three decimal places.)

(d) Find . (Round your answer to three decimal places.)

= syringes - Does the
*kid factor*make a difference? If you are talking photography, the answer may be yes!

Ages of children in household, years Under 2 None under 21 Percent of U.S. households that buy film 70% 50% Let us say you are a market research person who interviews a random sample of10 households.(a) Suppose you interview 10 households with children under the age of 2 years. Let

*r*represent the number of such households that buy film. Make a histogram showing the probability distribution of*r*for*r*= 0 through*r*= 10.Find the mean and standard deviation of this probability distribution. (Round your answers to two decimal places.)

= households = households (b) Suppose that the 10 households are chosen to have no children under 21 years old. Let

*r*represent the number of such households that buy film. Make a histogram showing the probability distribution of*r*for*r*= 0 through*r*= 10.Find the mean and standard deviation of this probability distribution. (Round your answers to two decimal places.)

= households = households (c) Compare the distributions in parts (a) and (b). You are designing TV ads to sell film. Could you justify featuring ads of parents taking pictures of toddlers? Explain your answer.Yes. It appears that households with no children under 21 are more likely to buy film.No. It appears that households with children under 2 are more likely to buy film.No. It appears that households with no children under 21 are more likely to buy film.Yes. It appears that households with children under 2 are more likely to buy film.

It is a lab assigment for Stat243 on excel

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You must do your own work. Make sure to answer the final questions in your own words. The examples shown below do not use the actual distributions. The real assignment is at the end. Please read the instructions carefully. Example 1 Binomial (n = 20, p = 0.4) ? Put “x” in cell A1. ? Put “f(x)” in cell B1. ? In cells A2 through A4, enter “0”, “1”, and “2”. ? Highlight these last three cells. Put the cursor in the lower right corner of the cell and start dragging down until it shows the number “20”. Release. Lab 3: Discrete Distributions Stat 243 Fall 2013 due November 14

? Go to cell B2. ? Click on fx. ? Choose the Statistical category and then BINOMDIST. ? For Number_s type “A2” (the location of the first X value). ? For Trials, type “20”. ? For Probability_s, type “.4”. ? For Cumulative, type “0”. ? Click OK. ? Put the cursor in the lower right corner of this cell and drag down to copy. ? Highlight all the cells containing probabilities. Click Format?Cells?Number, enter “5” for the number of decimal places, and click OK.

Example 2 Hypergeometric (N = 500, r = 100, n =15) ? Put “x” in cell D1. ? Put “f(x)” in cell E1. ? In cells D2 through D4, enter “0”, “1”, and “2”. ? Highlight these last three cells. Put the cursor in the lower right corner of the cell and start dragging down until it shows the number “15”. Release. ? Go to cell E2. ? Click on fx. ? Choose the Statistical category and then HYPGEOMDIST. ? For Sample_s type “D2” (the location of the first X value). ? For Number_sample, type “15”. ? For Population_s, type “100”. ? For Number_pop, type “500”. ? Click OK. ? Put the cursor in the lower right corner of this cell and drag down to copy. ? Highlight all the cells containing probabilities. Click Format?Cells?Number, enter “5” for the number of decimal places, and click OK.

Example 3 Poisson (µ = 5) ? Put “x” in cell G1. ? Put “f(x)” in cell H1. ? In cells G2 through G4, enter “0”, “1”, and “2”. ? Highlight these last three cells. Put the cursor in the…

here

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1 .Use the sample X1 = 1, 2, 3, 4 and 5. X2 = 5, 4, 3, 3 and 1. The alpha is .05 and tails = 2. Please compute the independent T test.

You would fail to reject the null

A. False B. True C. 2.446 D. 8 E. 2.5

The cv A. False B. True C. 2.446 D. 8 E. 2.5

The independent T Test is significant.

A. False B. True C. 2.446 D. 8 E. 2.5

The df

A. False B. True C. 2.446 D. 8 E. 2.5

The pooled variance

False B. True C. 2.446 D. 8 E. 2.5

2 If the before group is 3, 4, 5, 6 and 7. The after group is 2, 3, 4, 5 and 6. Use two tails and alpha = .05.

The SE is

A. False B. True C. 1.41 D. 3 E. 2.446

There is no concern about carryover effects

A. False B. True C. 1.41 D. 3 E. 2.446

The null claims u = 0

A. False B. True C. 1.41 D. 3 E. 2.446

The mean difference is

A. False B. True C. 1.41 D. 3 E. 2.446

The CV is

A. False B. True C. 1.41 D. 3 E. 2.446

The df are

False B. True C. 1.41 D. 3 E. 2.446

3 .Use this sample from a normally distributed population, X = 1, 2, 3, 4 and 5 with alpha = .05, two tails and a population mean of 5.

The. CV

A. yes B. no C. 10 D. 4 E. 1.41 F.626 G. 2 H.2.776

The SE, standard error

A. yes B. no C. 10 D. 4 E. 1.41 F.626 G. 2 H.2.776

The s,standard of deviation if the sample

A. yes B. no C. 10 D. 4 E. 1.41 F.626 G. 2 H.2.776

The CWf

A. yes B. no C. 10 D. 4 E. 1.41 F.626 G. 2 H.2.776

Is the T text significant?

A. yes B. no C. 10 D. 4 E. 1.41 F.626 G. 2 H.2.776

The ss

A. yes B. no C. 10 D. 4 E. 1.41 F.626 G. 2 H.2.776

The effect, or completed numerator

A. yes B. no C. 10 D. 4 E. 1.41 F.626 G. 2 H.2.776

Is the null u = 0

A. yes B. no C. 10 D. 4 E. 1.41 F.626 G. 2 H.2.776

4 Choose the best description for the type of T Test

The T text replaces a Z for a. Ean when the population sigma is unknown.

A.Pooled variance

B.thereated at test

C.carryover effects

D. SE=s/squared root of the sample size

E. the independent t test

F. The single t

The repeTed T has this type of confounding complication.

A.Pooled…

DATA

Date

AAPL

IBM

GE

S&P

?1?/?2?/?2008

1447.16

34.20

99.39

180.05

?1?/?7?/?2008

1416.18

33.37

95.99

172.69

?1?/?14?/?2008

1416.25

32.56

101.62

161.36

?1?/?22?/?2008

1310.50

32.26

102.72

130.01

?1?/?28?/?2008

1353.96

34.31

107.20

133.75

?2?/?4?/?2008

1380.82

32.11

101.88

125.48

?2?/?11?/?2008

1339.13

32.61

104.73

124.63

?2?/?19?/?2008

1348.78

32.12

106.62

119.46

?2?/?25?/?2008

1371.80

31.73

112.33

125.02

?3?/?3?/?2008

1331.34

30.86

112.41

122.25

?3?/?10?/?2008

1273.37

32.38

113.68

126.61

?3?/?17?/?2008

1276.60

35.90

116.74

133.

Date

AAPL

IBM

GE

S&P

?1?/?2?/?2008

1447.16

34.20

99.39

180.05

?1?/?7?/?2008

1416.18

33.37

95.99

172.69

?1?/?14?/?2008

1416.25

32.56

101.62

161.36

?1?/?22?/?2008

1310.50

32.26

102.72

130.01

?1?/?28?/?2008

1353.96

34.31

107.20

133.75

?2?/?4?/?2008

1380.82

32.11

101.88

125.48

?2?/?11?/?2008

1339.13

32.61

104.73

124.63

?2?/?19?/?2008

1348.78

32.12

106.62

119.46

?2?/?25?/?2008

1371.80

31.73

112.33

125.02

?3?/?3?/?2008

1331.34

30.86

112.41

122.25

?3?/?10?/?2008

1273.37

32.38

113.68

126.61

?3?/?17?/?2008

1276.60

35.90

116.74

133.

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DATA

Date

AAPL

IBM

GE

S&P

?1?/?2?/?2008

1447.16

34.20

99.39

180.05

?1?/?7?/?2008

1416.18

33.37

95.99

172.69

?1?/?14?/?2008

1416.25

32.56

101.62

161.36

?1?/?22?/?2008

1310.50

32.26

102.72

130.01

?1?/?28?/?2008

1353.96

34.31

107.20

133.75

?2?/?4?/?2008

1380.82

32.11

101.88

125.48

?2?/?11?/?2008

1339.13

32.61

104.73

124.63

?2?/?19?/?2008

1348.78

32.12

106.62

119.46

?2?/?25?/?2008

1371.80

31.73

112.33

125.02

?3?/?3?/?2008

1331.34

30.86

112.41

122.25

?3?/?10?/?2008

1273.37

32.38

113.68

126.61

?3?/?17?/?2008

1276.60

35.90

116.74

133.27

?3?/?24?/?2008

1349.88

35.05

113.03

143.01

?3?/?31?/?2008

1322.70

35.96

114.20

153.08

?4?/?7?/?2008

1372.54

30.69

114.44

147.14

?4?/?14?/?2008

1328.32

31.30

122.73

161.04

?4?/?21?/?2008

1388.17

31.91

121.42

169.73

?4?/?28?/?2008

1396.37

31.92

121.52

180.94

?5?/?5?/?2008

1388.28

30.90

122.89

183.45

?5?/?12?/?2008

1425.35

30.76

126.62

187.62

?5?/?19?/?2008

1375.93

29.14

123.03

181.17

?5?/?27?/?2008

1400.38

29.41

128.21

188.75

?6?/?2?/?2008

1360.68

28.74

123.76

185.64

?6?/?9?/?2008

1360.03

27.91

124.96

172.37

?6?/?16?/?2008

1317.93

26.51

121.58

175.27

?6?/?23?/?2008

1278.38

25.42

118.92

170.09

?6?/?30?/?2008

1262.90

26.05

118.41

170.12

?7?/?7?/?2008

1239.49

26.78

120.97

172.58

?7?/?14?/?2008

1260.68

27.11

128.67

165.15

?7?/?21?/?2008

1257.76

27.79

127.32

162.12

?7?/?28?/?2008

1260.31

27.31

125.45

156.66

?8?/?4?/?2008

1296.32

28.70

128.09

169.55

?8?/?11?/?2008

1298.20

28.85

125.66

175.74

?8?/?18?/?2008

1292.20

28.19

124.24

176.79

?8?/?25?/?2008

1282.83

27.20

121.05

169.53

?9?/?2?/?2008

1242.31

26.99

113.69

160.18

?9?/?8?/?2008

1251.70

25.90

118.31

148.94

?9?/?15?/?2008

1255.08

26.12

118.19

140.91

?9?/?22?/?2008

1213.27

24.77

118.76

128.24

?9?/?29?/?2008

1099.23

21.16

102.86

97.07

?10?/?6?/?2008

899.22

21.09

87.26

96.80

?10?/?13?/?2008

9…

9.3

If you use a 0.10 level of significance in a (two-tail) hypothesis test, what is your decision rule for rejecting a null hypothesis that the population mean is 500 if you use the Z test?

9.13

Do students at your school study more than, less than, or about the same as students at other business schools? BusinessWeek reported that at the top 50 business schools, students studied an average of 14.6 hours per week (data extracted from “Cracking the Books,” Special Report/Online Extra,

http://www.businessweek.comwww.businessweek.com, March 19, 2007).

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9.3

If you use a 0.10 level of significance in a (two-tail) hypothesis test, what is your decision rule for rejecting a null hypothesis that the population mean is 500 if you use the Z test?

9.13

Do students at your school study more than, less than, or about the same as students at other business schools? BusinessWeek reported that at the top 50 business schools, students studied an average of 14.6 hours per week (data extracted from “Cracking the Books,” Special Report/Online Extra,

http://www.businessweek.comwww.businessweek.com, March 19, 2007). Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the 14.6-hour per week benchmark reported by BusinessWeek.

State the null and alternative hypotheses.

What is a Type I error for your test?

What is a Type II error for your test?

9.15

The Manager of a paint supply store wants to determine whether the mean amount of paint contained in 1-gallon cans purchased forma nationally known manufacturer is actually 1 gallon. You know from the manufacture’s specifications that he standard deviation of the amount of paint is 0.02 gallon. You select a random sample of 50 cans, and the mean amount of paint per 1-gallon can is 0.995 gallon.

Is there evidence that the mean amount is different from 1.0 gallon (use = 0.01)

Compute the p-value and interpret its meaning.

Construct a 99% confidence interval estimate of the population mean amount of paint.

Compare the results of (a) and (c). What conclusions do you reach?

9.27

In New York State, savings banks are permitted to sell a form of life insurance called savings bank life insurance (SBLI). The approval process consists of underwriting, which includes a review of the application, a medical information bureau check, possible requests for additional medical information and medical exams, and a policy compilation stage in which the policy pages are generated and sent to the bank for delivery. The ability to…

Take home test. really needs to be elaborated and broken down so that i could understand it and explain it to the professor

Statistics help- Normal Curve, Standardization, and z scores. Please only respond if you truly know statistics. This is introductory and I need you to show all work in order to learn hpw t do these problems. Six problems, Attached documents from chapter with problems #’s 32, 34, 36, 38. 40, 42

Dateline: Saturday

3 pages 1.5 spacing. Ms Word.

Evaluate the article

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Continuing Education Mitigates the Negative Consequences of Adolescent Childbearing Kate Sullivan • Jamie Clark • Brian Castrucci • Rachel Samsel • Vincent Fonseca • Imelda Garcia Published online: 5 March 2010 Springer Science+Business Media, LLC 2010 Abstract Beginning childbearing during adolescence is consistently linked with negative outcomes for both children and parents. Many have attributed this association to maternal background characteristics which are often difficult to change through policy. Though maternal educational attainment is often a side effect of adolescent childbearing, it also represents a potential avenue through which we can help young mothers overcome the obstacles associated with an early birth. The data for this study come from the 1997 Child Development Supplement of the Panel Study of Income Dynamics, a nationally representative sample of mothers and their children (N = 3,193). Data are used to explore the cognitive stimulation and emotional support in the home, measured using the HOME Scale (Caldwell and Bradley in Home observation for measurement of the environment. University of Arkansas at Little Rock, Little Rock, 1984). OLS regression models how maternal education moderates the association between age at first birth and quality of children’s home environment. Adolescent mothers scored significantly lower on the indicator of home environment than older mothers. However, when continuing education was considered, maternal age at first birth was no longer significantly associated with the home environment. The negative consequences of early births were mediated by adolescent mothers’ continuing education efforts. While interventions are needed to reduce adolescent childbearing, these results highlight the need to ensure that adolescent mothers are provided support to continue their education following delivery. The negative consequences of adolescent births are not inevitable. Encouraging school retention may help young mothers form…

1.

Assume that a random sample is used to estimate a population p. Find the margin of error E that corresponds to the given statistics and confidence level. 98% confidence, the sample size is 1772, of which 25% are successes. The margin of error E= (Round to four decimal places as needed)

hello i need it done by tomorrow 100% correct solution required.

thanx

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In a study to investigate the relative effectiveness of six different instructional formats with respect to student achievement at the end of the semester, data were collected on a total of 90 students taught using one of the 6 formats described below:

Method 1: 3 hour lecture weekly

Method 2: 3 hour lecture weekly + weekly tutorial

Method 3: 3 hour lecture weekly + weekly pop quizzes

Method 4: Two 90-minute lectures weekly

Method 5: Two 90-minute lectures weekly + weekly tutorials

Method 6: Two 90-minute lectures weekly + weekly pop quizzes

Descriptive statistics for each group are given below.

Dependent Variable:Acht Group Mean Std. Deviation N 1 8.4667 1.45733 15 2 10.2667 1.79151 15 3 9.2267 1.82462 15 4 10.7333 2.11919 15 5 10.7800 1.68955 15 6 12.1267 1.99516 15 Total 10.2667 2.12999 90

An ANOVA table for testing the hypothesis of equal means was constructed and is shown below.

Tests of Between-Subjects Effects Dependent Variable:Acht Source Type III Sum of Squares df Mean Square F Sig. Corrected Model 123.937a 5 24.787 7.440 .000 Intercept 9486.400 1 9486.400 2847.520 .000 Group 123.937 5 24.787 7.440 .000 Error 279.843 84 3.331 Total 9890.180 90 Corrected Total 403.780 89 a. R Squared = .307 (Adjusted R Squared = .266)

Based on the ANOVA table, what would you conclude about the equality of means? Show what you used to reach your conclusion.

The null hypothesis is, H0: µ1 = µ2 = µ3 = µ4 =µ5 = µ6, which is the means are equal of the methods that are used to teach the students.

The alternate hypothesis is H1: two or more means are unequal.

The p value obtained is 0.00 that is less that the alpha value of 0.05. The F value is 7.44 and with the low p value, it is obvious that the means are not equal. Therefore, the null hypothesis is rejected and alternate hypothesis is accepted.

Determine Bonferroni, Tukey, and Scheffe critical values for testing all pairwise differences among the means. …

Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer. An experimental drug is administered to 50 randomly selected individual, with the number if individuals responding favorably recorded.

Does the probability experiment represent a binomial experiment?

A.

No, because the trials of the experiment are not independent.

B.

No, because there are more than two mutually exclusive outcomes for each trial.

C.

Yes, because the experiment satisfies all the criteria for a binomial experiment.

D.

No, because the probability of success differs from trials

**PROBLEM 1**

Kathleen Vohs of the University of Minnesota and her coworkers carried out several randomized comparative experiments on the effects of thinking about money. Here s part of one such experiment. Ask student subject to unscramble 30 sets of five words to make a meaningful phrase from four of the five words. The control group unscrambled phrases like cold it desk outside is into it is cold outside. The treatment group unscrambled phrases that lead to thinking about money, turning high salary desk paying into a high-paying salary. Then each subject worked a hard puzzle, knowing that they could ask for help. Here are the times in seconds until subjects asked for help:

Treatment group:

609 444 242 198 174 55 251 466 443

531 135 241 476 482 362 69 160

Control group:

118 272 412 290 140 104 55 189 126

400 91 63 87 142 141 373 156

The researcher suspected that money is connected with self-sufficiency, so that the treatment group would ask for help less quickly on the average. Do the data support this idea? Use a 5% level of significance.

**EXPECTATIONS**

– Draw graphs and charts when appropriate and necessary to demonstrate your reasoning! Label all graphs and charts!

– Display formulas. Write complete sentences to summarize your conclusions.

– If use any table values, clearly state which tables you used (e.g. Table A-2, etc.).

-Attach excel output when appropriate or necessary (e.g. a scatterplot, etc.)

**HYPOTHESIS TESTING QUESTIONS**

Your work for all statistical hypothesis testing questions should include the following:

1. Established Ho and Ha.

2. Summary statistics (either computed or given in the problem)

3. The name of the test (e.g. 2sampleTtest or T-test about correlation, etc.)

4. A formula to compute a test statistic (e.g. 1Prop-Z test statistic, etc.)

5. A p-value of the test and/or a critical value from a statistical table.

6. Clearly state the decision rule you use the reach a conclusion. (You may have to sketch a graph to show rejection regions.) Do you Reject Ho or do you Fail to Reject Ho

7. State your conclusion in plain language. Use complete sentences.

PROBLEM 2

A company hopes to improve customer satisfaction, setting as a goal less than 5% negative comments . A random survey of 350 customers found only 10 with complaints. Does this provide evidence that the company has reached its goal? Use a 5% level of significance.

**EXPECTATIONS**

– Draw graphs and charts when appropriate and necessary to demonstrate your reasoning! Label all graphs and charts!

– Display formulas. Write complete sentences to summarize your conclusions.

– If use any table values, clearly state which tables you used (e.g. Table A-2, etc.).

-Attach excel output when appropriate or necessary (e.g. a scatterplot, etc.)

**HYPOTHESIS TESTING QUESTIONS**

Your work for all statistical hypothesis testing questions should include the following:

1. Established Ho and Ha.

2. Summary statistics (either computed or given in the problem)

3. The name of the test (e.g. 2sampleTtest or T-test about correlation, etc.)

4. A formula to compute a test statistic (e.g. 1Prop-Z test statistic, etc.)

5. A p-value of the test and/or a critical value from a statistical table.

6. Clearly state the decision rule you use the reach a conclusion. (You may have to sketch a graph to show rejection regions.) Do you Reject Ho or do you Fail to Reject Ho

7. State your conclusion in plain language. Use complete sentences.

Question 1

An alternative hypothesis is an assertion that holds if the null hypothesis is false.

True

False

Question 2

If a null hypothesis is rejected at the 0.05 level of significance, it must be rejected at the 0.025 level.

True

False

Question 3

In a given hypothesis test, the null hypothesis can be rejected at the .10 and .05 level of significance, but cannot be rejected at the .01 level. The most accurate statement about the p-value for this test is

p-value = 0.01

p-value = 0.10

0.01

0.05

Question 4

The p-value of a test is the smallest significant level at which the null hypothesis can be rejected.

True

False

Question 5

The t-statistic is used in hypothesis testing for a mean when the actual population standard deviation is not known.

True

False

Question 6

The larger the p-value, the more we doubt the null-hypothesis.

True

False

Question 7

Alpha ( ) is the probability that the sample statistic would assume a value as or more extreme than the observed value of the test.

True

False

Question 8

The null hypothesis is not rejected unless there is sufficient sample evidence to do so.

True

False

4. Individuals filing federal income tax returns prior to March 31 had an average refund of $1102. Consider the population of last-minute filers who mail their returns during the last five days of the income tax period (typically April 10 to April 15).

a. A researcher suggests that one of the reasons that individuals wait until the last five days to file their returns is that on average those individuals have a lower refund than early filers. Develop appropriate hypotheses such that rejection of H0 will support the researcher s contention.

b. For a sample of 600 individuals who filed a return between April 10 and April 15, the sample mean refund was $1050 and the standard deviation was $500. Compute the p-value.

c. Using =.05, what is your conclusion?

5. The Heldrich Center for Workforce Department found that 45% of Internet users received more than 10 email messages per day. Recently, a similar study on the use of email was reported. The purpose of the study was to see whether the use of email increased.

a. Formulate the null and alterative hypotheses to determine whether an increase occurred in the proportion of Internet users receiving more than 10 email messages per day.

b. If a sample of 420 Internet users found 208 receiving more than 10 email messages per day, what is the p-value?

c. Using =.05, what is your conclusion?

6. Media Metrix, Inc. tracks Internet users in seven countries: Australia, Great Britain, Canada, France, Germany, Japan, and the United State. According to resent measurement figures, American home users rank first in Internet usage with a mean of 14 hours per month. Assume that in a following-up study involving a sample of 205 Canadian Internet users, the sample mean was 12.8 hour per month and the sample standard deviation was 6.2 hours.

a. Formulate the null and alterative hypotheses that can be used to determine whether the sample data support the conclusion that Canadian Internet users have a population mean less than the U.S. mean of 14 hours per month.

b. What is the p-value?

c. Using =.01, what is your conclusion?

Exam 1

Congratulations. You have just been hired as the new CEO for Handback Industries. You were excited until you started and within first the few days, the director of HR came into your office and indicated that the employees were threatening to strike and go to the media if things were not fixed immediately. Since you were successful in your Statistics course taken during the Summer of 2013, you decide that you will assist the HR Director with her analysis.

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Exam 1

Congratulations. You have just been hired as the new CEO for Handback Industries. You were excited until you started and within first the few days, the director of HR came into your office and indicated that the employees were threatening to strike and go to the media if things were not fixed immediately. Since you were successful in your Statistics course taken during the Summer of 2013, you decide that you will assist the HR Director with her analysis.

Problem 1 – The employees have indicated that 95% of employees in one of the departments are receiving higher salaries than any other department because their supervisor parties with them each weekend. Some employees only have an hourly rate which you have to calculate their yearly salary before completing the calculations. Please calculate the 95% standard deviation for each department and indicate for me if any department is receiving on average $2k or more on the high end.

Department 1 Department 2 Department 3 Department 4 Department 5 $22,450 18,500 B 22550 19000 $30,000 27,000 16765 29900 21540 $23,785 26,785 30011 23785 27900 A 25000 29955 B 27550 $27,594 26557 A 27600 25550

A – 9/hr @ 40 hrs week @ 50 weeks a year

B – 11/hr @ 35 hrs wee @ 52 weeks a year

Is any department receiving on average $2k or more on the high end of the standard deviation using standard deviation at 95%? If so, which department?

Problem 2

Dept. 1 Dept. 2 Dept. 3 Dept. 4 Dept. 5 Asian African American White Hispanic Native American

From the data below, please complete the chart before attempting the issue. Completing the chart means to tabulate the employees by race for each department. Don’t forget you need to sum each column and row and all total data (count the number of employees).

Dept. 1 – Asian, African American, African American, White, White

Dept. 2 – White, Native American, Hispanic, Hispanic, Hispanic

Dept. 3 – White, Asian, Asian, White,…

11 quetions on my staTLAB DUE DATE IN 5 DAYS, YOU CAN RESYBMIT THE ANSER 4 TIME. NEED 100% SCORE PLEASE.

I have 16 question on my statlab need help with to improve my scores with muty attempts. Also quiz 5 questions with 3 attempts in same class

i have online statistics quizÂ

a & b Dining has developed their own signature version of the famous dish which they call a&b food. The recipe is treated as a trade secret but the founder has indicated that a&b food is flavoured with spices from South east asia. They have two restaurants. One is in ‘a’ and the other is in ‘b’, . Diners can dine in or choose to buy take away packs. The price is the same irrespective. The price is $5 per pack.

The founder and CEO, Mrs. mary is concerned about the difference in revenues of the two restaurants. She feels that absenteeism may be the cause. He will like to open more outlets but feels he must understand the problems first. She has engaged you as a consultant to analyse their business data and advise him.

Mrs. Mary has provided you the data for a sample of 100 days from the ‘a’ and ‘b’ outlets. You are to assist Mrs. Mary to analyse the data “a & b data” using Excel software.

provide solutions

(a)

Define 95% confidence intervals for the revenues of the outlets. Identify the measures of location and dispersion. Interpret these confidence intervals in your report. With these findings, can you validate Mrs. Mary claims?

(10 marks)

(b)

Describe the key assumption(s) you have made in constructing this confidence interval. Discuss if this/these assumption(s) reasonable. Use the Central Limit Theorem in your discussions

(4 marks)

(c)

Execute statistical tests to explore whether the key assumptions (s) were found to be violated. Explain what your subsequent follow up will be.

(6 marks)

they are 17 question online.

chaptre 7: only QN: 3,4,5,6

chapter 8: 1,2,3,4,5

chapter 9: 1,2,3,4,5,6

assignments 6, 7, and final project part 1

help

PLEASE ADHERE TO THE DUE DATE

online Â workÂ

help

-What is the difference between independent and conditional probability?

-What are mutually exclusive events?

-What is the differences in observational studies and experiments?

-What formula do you use to find the z-score?

-What does AUB or A intersection B mean?

I am looking for someone who specializes in aleks pie for statistics.

Suppose that in bags of Christmas M&Ms, half of the M&Ms are supposed to be red, and the other half green. In a bag with 80 M&Ms and using a significance level alpha of 0.05, what is the highest number of red M&M’s at which we would

Advanced work

As a mental health professional in the new era, consider how the appropriate application of statistical analysis can be used to understand real-world issues and issues in behavioral science, and to inform decision making. As a mental health professional, you are expected to remain current on field research and to apply this new knowledge within your work.

For this assignment, complete the following:

- Select an area of interest within psychology.
- Use the Capella library to locate one peer-reviewed journal article that uses the interpretation of statistical analysis to resolve an issue in the field. Select an article that uses quantitative (not qualitative) analyses.
- Write a 2â3-page paper in which you will provide a critical analysis of the article. In this paper, you consider the interpretation and selection of the supporting statistical analyses. To do this, you will:
- Explain the analysis and describe the decision that was made. Was the null hypothesis rejected or did the article fail to reject the null hypothesis? Provide examples of the statistical language used, and translate the examples from statistical language to real-world language.
- Evaluate the research and discuss areas of strength and areas of weakness in the study design, research process, and interpretation and description of the results.
- Explain whether you think the conclusions accurately reflect the analysis. Use both statistical and real-world language to support your opinion.

Be sure to communicate in a manner that respects the dignity, cultural and ethnic backgrounds, and individual uniqueness of others.

You may wish to work with the APA Paper Template (given in the Resources) to increase your understanding of APA style and format, a key component of academic writing.

Complete the two stats exercises

error and the sample mean?

How should the law be applied to a dispute arising from a deal that involves a party in a state in which the laws are enacted and a party in a state in which

they are not enacted?

Give full answer.

For question #2 calculations must be done in Minitab

interval on the mean and standard deviation. Explain any potential problems with this analysis.

A normal population has a mean of 21.0 and a standard deviation of 6.0.

What proportion of the population is less than 17.0? **(Round z-score computation to 2 decimal places and
your final answer to 4 decimal places.)**

standard deviation of 20 gallons. A) What is the value of the population mean? What is the best estimate of this value? B) Explain why we need to use the t

distribution. What assumption do you need to make? C) For a 90% confidence interval, what is the value of t? D) Develop the 90% confidence interval for the

population mean is 63 gallons? E) Would it be reasonable to conclude that the population mean is 63 gallons?

1994

2357587

22297

1.0780000000000001

20.231769342689908

1995

2422776

23262

1.1579999999999999

20.291271576335358

1996

2482201

24442

1.2450000000000001

20.464323119247677

1997

2560373

25654

1.244

20.833280444038341

1998

2625363

27258

1.0720000000000001

20.74977762870564

1999

2679459

28333

1.1759999999999999

20.731760081638967

2000

2746926

30319

1.5229999999999999

21.092475620603114

2001

2795611

31157

1.46

21.180199788289752

2002

2855509

31481

1.3859999999999999

21.05253837370579

2003

2890222

32295

1.603

21.100830612374853

2004

2964789

33909

1.895

21.181857740120876

2005

2989430

35452

2.3140000000000001

21.290492284599306

2006

3014371

37725

2.6179999999999999

21.251714627448305

2007

3031124

39506

2.843

21.293564791587521

2008

2976528

40947

3.2989999999999999

21.540573396057965

2009

2956762

38637

2.4060000000000001

21.438758740242115

2010

2966486

39791

2.835

21.518511469366338

2011

2929480

41560

3.5760000000000001

21.832517874466646

2012

2938535

42693

3.68

22.017624469502202

Year

VMT

Income

Avg. Gas price

(Million miles)

($/capita)

($/gal)

(mpg)

Fleet Fuel Economy

What is the probability that no automobiles arrive in a particular minute? B) What is the probability that at least one automobile arrives during a particular

minute?

two electric toothbrushes sold will be returned because they are defective? B)What is the probability the first 2 brushes sold will not be defective?

calculate E(X2) when E(X) = 0 (c) Use the definition of covariance to show that Cov(AX + a, BY + b) = AB A?路 Cov(X, Y ) for constants (A, B, a, b). (d)

UsethedefinitionofvariancetoshowthatVar(X+Y)=Var(X)+Var(Y)+2Cov(X,Y) (e) Use (d) to show that the population correlation coefficient is between [?1, 1]

that 4% of worker related problems occurred in the last hour of MOnday’s shift What is the problbility that a worker related problem will occurred on a monday but

not in the last hour of the days’s shift?

Heating Service completed repairs on two heat pumps this morning. The labor cost for the first was $75 and it was $100 for the second. Assume the distribution of

labor costs follows the normal probability distribution. Compute Z values for each and comment on findings.

Searching Number of Unemployed 0 up to 20 12 20 up to 40 28 40 up to 60 60 60 up to 80 40 80 up to 100 20 (a) Determine the mean. (b) Determine the standard

deviation.

The number of computers sold per day by Dans Computer Work is defined by the following probability distribution:

X- 0,1,2,3,4,5,6

P(x)- 0.05, 0.10, 0.20, 0.20, 0.15, 0.10

A. P(3

B. P(x>3)=?

C. P(x

D. P(2

Distribution Function is given as the following: Score F(S) 250 .1 300 .4 350 .75 400 1

standard deviation.

class is .70. The probability of passing both is .50. What is the probability of passing at least one?

is approximated by the Poisson distribution. (a) What is the probability , Prof. Smith, received exactly one e-mail between 4pm and 5pm yesterday? (b) What is the

probability he did not receive any e-mail during this period? (c) What is the probability he received ten or more e-mails during the same period?

European vacation (the event, not the movie) d. Steak e. Season 1 of the “I Love Lucy”? show on DVD f. Honda Accord g. Dijon mustard

These questions must be done in excel

Summer 2013

Problem Set #3

Hypothesis Testing

1. University of Maryland University College is concerned that out of state students may be receiving lower grades than Maryland students. Two independent random samples have been selected: 175 observations from population 1 (Out of state students) and 187 from population 2 (Maryland students). The sample means obtained are X1(bar)=85 and X2(bar)=86. It is known from previous studies that the population variances are 9.2 and 8.3 respectively. Using a level of significance of .01, is there evidence that the out of state students may be receiving lower grades? Fully explain your answer.

Simple Regression

2. A CEO of a large plastics manufacturing company would like to determine if she should be placing more money allotted in the budget next year for television advertising of a new baby bottle marketed for controlling reflux and reducing gas. She wonders whether there is a strong relationship between the amount of money spent on television advertising for this new baby bottle called Gentle Bottle and the number of orders received. The manufacturing process of this baby bottle is very difficult and requires advanced quality control so the CEO would prefer to generate a stable number of orders. The cost of advertising is always an important consideration in the phase I roll-out of a new baby bottle. Data that have been collected over the past 20 months indicate the amount of money spent of television advertising and the number of orders received.

The use of linear regression is a critical tool for a manager’s decision-making ability. Please carefully read the example below and try to answer the questions in terms of the problem context. The results are as follows:

Month Advertising Cost Number of…

Statistics

A manufacturer of MP3 players surveyed one hundred retail stores in each of the firm sales regions. An analyst noticed that in the South Atlantic region the average retail price was $165(mean) and the standard deviation was $30.However, in the Mid-Atlantic region the mean price was $170, with standard deviation of $15. What do these statistics tell about the two sales region?

Quiz 3 Fall 2014 OL1

Each question is worth 3 points, except the last question, which is worth 4 points. Submit through your assignment folder by 11:59 PM EDT on October 5thth.

I know I don’t need to remind anyone that UMUC’s academic integrity policies. We are all adults. We know that we shortchange only ourselves if we aren’t honest. This quiz needs to be completed without help from others. The work submitted must be your own.

A new treatment for back pain was designed. Twenty patients were given the new expensive treatment and also a fake treatment.

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Quiz 3 Fall 2014 OL1

Each question is worth 3 points, except the last question, which is worth 4 points. Submit through your assignment folder by 11:59 PM EDT on October 5thth.

I know I don’t need to remind anyone that UMUC’s academic integrity policies. We are all adults. We know that we shortchange only ourselves if we aren’t honest. This quiz needs to be completed without help from others. The work submitted must be your own.

A new treatment for back pain was designed. Twenty patients were given the new expensive treatment and also a fake treatment. After the new treatment, the patients reported pain score with a mean of 5.0 and a standard deviation of 2.4. After the fake treatment, the 20 patients had pain scores with a mean of 4.7 and a standard deviation of 2.9.

Construct a 95% confidence interval estimate of the mean pain score for patients given the new treatment.

Construct a 95% confidence interval estimate of the mean pain score for patients given the fake treatment.

Compare the two results. Does the new treatment appear to be worth the money?

How many cars must be randomly selected and tested in order to estimate the mean braking distance of registered cars in the US to give a 99% confidence that the sample mean is within 2 ft of the population means. The population standard deviation is known to be 7 ft.

Among 724 patients treated with a new medication for ADHD, 72 experienced nausea as an adverse reaction. Use a 0.05 significance level to test the claim that the rate of nausea is greater than the 6% rate experienced by patients treated with a placebo. Does nausea appear to be a concern for those given the new medication? Be sure to include hypotheses, test statistic z, and decision.

The population has a mean of 678 and the population standard deviation is known to be 58.3. Use a 0.05 level of significance to test the claim that the sample scores listed below came from the population. Identify hypotheses, test statistic, P-value or critical…