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STAT 200 Week 5 Homework Solution Correct Answers - Document preview page 1

STAT 200 Week 5 Homework Solution Correct Answers - Page 1

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STAT 200 Week 5 Homework Solution Correct Answers

Week 5 homework answers for a statistics course.

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STAT 200 Week 5 Homework Solution Correct Answers - Page 1 preview imageSTAT 200 Week 5 HomeworkSolution Correct AnswersLane Chap. 1010. The effectiveness of a blood-pressure drug is being investigated. How might anexperimenter demonstrate that, on average, the reduction in systolic blood pressure is 20 ormore?12. A person claims to be able to predict the outcome offlipping a coin. This person iscorrect 16/25 times. Compute the 95% confidence interval on the proportion of times thisperson can predict coinflips correctly. What conclusion can you draw about this test of hisability to predict the future?15. You take a sample of 22 from a population of test scores, and the mean of your sampleis 60.(a) You know the standard deviation of the population is 10. What is the 99% confidenceinterval on the population mean.(b) Now assume that you do not know the population standard deviation, but the standarddeviation in your sample is 10. What is the 99% confidence interval on the mean now?18. You were interested in how long the average psychology major at your college studiesper night, so you asked 10 psychology majors to tell you the amount they study. They toldyou the following times: 2, 1.5, 3, 2, 3.5, 1, 0.5, 3, 2, 4.(a) Find the 95% confidence interval on the population mean. (b) Find the 90% confidenceinterval on the population mean.Illowsky Chap. 8
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STAT 200 Week 5 Homework Solution Correct Answers - Page 2 preview image
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STAT 200 Week 5 Homework Solution Correct Answers - Page 3 preview image100. What is meant by the term “90% confident” when constructing a confidence interval fora mean?a. If we took repeated samples, approximately 90% of the samples would produce the sameconfidence interval.b.Ifwetookrepeatedsamples,approximately90%oftheconfidenceintervalscalculatedfromthosesampleswould contain the sample mean.c.Ifwetookrepeatedsamples,approximately90%oftheconfidenceintervalscalculatedfromthosesampleswould contain the true value of the population mean.d. If we took repeated samples, the sample mean would equal the population mean inapproximately 90% of the samples.106. Suppose that a committee is studying whether or not there is waste of time in ourjudicial system. It is interested in the mean amount of time individuals waste at thecourthouse waiting to be called for jury duty. The committee randomly surveyed 81 peoplewho recently served as jurors. The sample mean wait time was eight hours with a samplestandard deviation of four hours.a.i. x ¯ = __________ii. sx = __________iii. n= __________iv. n1 = __________b. Define the random variables X and X ¯ in words.c. Which distribution should you use for this problem? Explain your choice.d. Construct a 95% confidence interval for the population mean time wasted.
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STAT 200 Week 5 Homework Solution Correct Answers - Page 4 preview imagei. State the confidence interval.ii. Sketch the graph.iii. Calculate the error bound.e. Explain in a complete sentence what the confidence interval means.A quality control specialist for a restaurant chain takes a random sample of size 12 to checkthe amount of soda served in the 16 oz. serving size. The sample mean is 13.30 with asample standard deviation of 1.55. Assume the underlying population is normallydistributed.116. What is the error bound?a. 0.87b. 1.98c. 0.99d. 1.74130. On May 23, 2013, Gallup reported that of the 1,005 people surveyed, 76% of U.S.workers believe that theywill continue working past retirement age. The confidence level forthis study was reported at 95% with a ±3% margin of error.a. Determine the estimated proportion from the sample.b. Determine the sample size.c. Identify CL andα.d. Calculate the error bound based on the information provided.e. Compare the error bound in part d to the margin of error reported by Gallup. Explain anydifferences between the values.
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