One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. You are interested in the mean score, μ , among the general population on this subsection. The website reports that μ is 145 , but you have good reason to believe that μ is less than 145 . 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 140 and that the standard deviation of their scores is 22 . Based on this information, complete the parts below. (a) What are the null hypothesis H0 and the alternative hypothesis H1 that should be used for the test? H0: H1: (b) Suppose that you decide not to reject the null hypothesis. What sort of error might you be making?   ▼(Choose one)   (c) Suppose the true mean score among the general population on the subsection is 137 . Fill in the blanks to describe a Type II error. A Type II error would be ▼(Choose one) the hypothesis that μ is ▼(Choose one)▼(Choose one) when, in fact, μ

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3BGP
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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. You are interested in the mean score,
μ
, among the general population on this subsection. The website reports that
μ
is
145
, but you have good reason to believe that
μ
is less than
145
. 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
140
and that the standard deviation of their scores is
22
.

Based on this information, complete the parts below.

(a) What are the null hypothesis
H0
and the alternative hypothesis
H1
that should be used for the test?
H0:
H1:
(b) Suppose that you decide not to reject the null hypothesis. What sort of error might you be making?
  ▼(Choose one)  
(c) Suppose the true mean score among the general population on the subsection is
137
. Fill in the blanks to describe a Type II error.
A Type II error would be ▼(Choose one) the hypothesis that
μ
is ▼(Choose one)▼(Choose one) when, in fact,
μ
is ▼(Choose one) .
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