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 μ differs from 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 149 and that the standard deviation of their scores is 28 . 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 thanless than or equal togreater thangreater than or equal tonot equal toequal to ?14214928 H1 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?14214928 In the context of this test, what is a Type I error? A Type I error is ?rejectingfailing to reject the hypothesis that μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?14214928 when, in fact, μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?14214928. Suppose that you decide not to reject the null hypothesis. What sort of error might you be making? ?Type IType II

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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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,

, among the general population on this subsection. The website reports that

142

, but you believe that

differs from

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

149

and that the standard deviation of their scores is

Based on this information, answer the questions below.

What are the null hypothesis (

) and the alternative hypothesis (

) that should be used for the test?

is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?14214928

is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?14214928

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

A Type I error is ?rejectingfailing to reject the hypothesis that

is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?14214928 when, in fact,

is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?14214928.

Suppose that you decide not to reject the null hypothesis. What sort of error might you be making? ?Type IType II

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