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Homework answers / question archive / One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker

One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker

Math

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 148,  but you believe that μ  differs from 148. You decide to perform 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 154 and that the standard deviation of their scores is 22. Based on this information, answer the questions below.

 

What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test?

 

H0: μ is ? less than, less than,  or equal to, greater than, greater than or equal to not equal to equal to ? (22, 154, 148)

 

H1: μ is ? less than, less than, or equal to, greater than, greater than or equal to, not equal to equal to ? (22, 154, 148)

 

In the context of this test, what is a Type I error?

 

A Type I error is ? (rejecting, failing)  to reject the hypothesis that μ  is ? less than, less than or equal to, greater than, greater than or equal to not equal to, equal to (22, 154, 148) ? when, in fact, μ is ? less than, less than or equal to, greater than, greater than or equal to, not equal to ? (22, 154, 148).

 

Suppose that you decide to reject the null hypothesis. What sort of error might you be making ? ?Type I, Type II

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