SOLUTION: 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 subse

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Question 329682: 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 140, but you believe that µ is greater than 140. 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 145 and that the standard deviation of their scores is 25.
What are the null hypothesis ( Ho ) and the alternate hypothesis( H1) that should be used in the test.?
In the context of this test, what is the type 1 error?
A type 1 error is __________________the hypothesis that is µ is ________when, in fact, µ is___________
Suppose the consultant decides to reject the null hypothesis. What type of error might she be making?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
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.
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The website reports that µ is 140, but you believe that µ is greater than 140.
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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 145 and that the standard deviation of their scores is 25.
What are the null hypothesis ( Ho ) and the alternate hypothesis( H1) that should be used in the test.?
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Ho: u = 40
Ha: u > 40
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In the context of this test, what is the type 1 error?
A type 1 error is to reject Ho, the hypothesis that is µ is = 40 when, in fact, µ is = 40.
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Suppose the consultant decides to reject the null hypothesis. What type of error might she be making?
Ans: Type I.
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Cheers,
Stan H.
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