One personality test available on the World Wide Web has a subsection designed to assess the "honesty" ofthe test-taker. After taking the test and seeing your score for this subsection, you're interested in the meanscore, µ, among the general population on this subsection. The website reports that µ is 142, but you believethat u is less than 142. You decide to do a statistical test. You choose a random sample of people and havethem take the personality test. You find that their mean score on the subsection is 138 and that the standarddeviation of their scores is 20.Based on this information, answer the questions below.What are the null hypothesis (H) and the alternative hypothesis (H,) that should beused for the test?AaH:u is (?Η, : μ is ?In the context of this test, what is a Type I error?A Type I error is (?the hypothesis that u is (?when, in fact, u is (?Suppose that you decide to reject the null hypothesis. What sort of error might you bemaking? (?

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Answered: One personality test available on the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A contributor for the local newspaper is writing an article for the weekly fitness section. To prepare for the story, she conducts a study to compare the exercise habits of people who exercise in the morning to the exercise habits of people who work out in the afternoon or evening. She selects three different health centers from which to draw her samples. The 6060 people she sampled who work out in the morning have a mean of 3.33.3 hours of exercise each week. The 4747 people surveyed who exercise in the afternoon or evening have a mean of 3.43.4 hours of exercise each week. Assume that the weekly exercise times have a population standard deviation of 0.40.4 hours for people who exercise in the morning and 0.70.7 hours for people who exercise in the afternoon or evening. Let Population 1 be people who exercise in the morning and Population 2 be people who exercise in the afternoon or evening. Step 1 of 2 : Construct a 99%99% confidence interval for the true difference…
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A randomly sampled group of patients at a major U.S. regional hospital became part of a nutrition study on dietary habits. Part of the study consisted of a 50-question survey asking about types of foods consumed. Each question was scored on a scale from one (most unhealthy behavior) to five (most healthy behavior). The answers were summed and averaged. The population of interest is the patients at the regional hospital. A prior survey of patients had found the mean score for the population of patients to be μ=2.9 After careful review of these data, the hospital nutritionist decided that patients could benefit from nutrition education. The current survey was implemented after patients were subjected to this education, and it produced the following sample statistics for the 15 patients sampled: x¯=3.5 and s=1.2 We would like to know if the education improved nutrition behavior. We test the hypotheses H0:μ=2.9 versus Ha:μ>2.9. The tt test to be used has the test statistic: Answer:
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