One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. After taking the test and seeing your score for this subsection, you're interested in the mean score, µ, among the general population on this subsection. The website reports that µ is 142, but you believe that u is less than 142. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 138 and that the standard deviation 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 be used for the test? Aa H: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 be making? (?

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One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of
the test-taker. After taking the test and seeing your score for this subsection, you're interested in the mean
score, µ, among the general population on this subsection. The website reports that µ is 142, but you believe
that u is less than 142. You decide to do a statistical test. You choose a random sample of people and have
them take the personality test. You find that their mean score on the subsection is 138 and that the standard
deviation 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 be
used for the test?
Aa
H: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 be
making? (?
Transcribed Image Text:One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. After taking the test and seeing your score for this subsection, you're interested in the mean score, µ, among the general population on this subsection. The website reports that µ is 142, but you believe that u is less than 142. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 138 and that the standard deviation 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 be used for the test? Aa H: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 be making? (?
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