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
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
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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Question
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
is
, but you believe that
differs from
. 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
and that the standard deviation of their scores is
.
μ
μ
142
μ
142
149
28
Based on this information, answer the questions below.
| What are the null hypothesis (
H0
H1
H0
μ
H1
μ
In the context of this test, what is a Type I error? A Type I error is ?rejectingfailing to reject the hypothesis that μ
μ
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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