Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, μ, is less than 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 36 hours and that the standard deviation is 6 hours. Based on this information, answer the questions below. 1. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test? H0: μ is (chose one) less than, less than or equal to, greater than, greater than or equal to, not equal to, equal to ....(chose one) 40 hours,  36 hours,  or 6 hours H1: μ is (chose one) less than, less than or equal to, greater than, greater than or equal to,  not equal to, or equal to ....(chose one) 40 hours,  36 hours,  or 6 hours 2. In the context of this test, what is a Type I error? A Type I error is (rejecting, or failing to reject) the hypothesis that μ is (chose one)less than, less than or equal to, greater than, greater than or equal to, not equal to, or equal to...( chose one) 40 hours, 36 hours, or 6 hours when, in fact, μ is less than, less than or equal to, greater than, greater than or equal to, not equal to, or equal to ....(chose one) 40 hours, 36 hours, or 6 hours. 3. Suppose that we decide not to reject the null hypothesis. What sort of error might we be making.... (chose one)  Type I or Type II

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, μ, is less than 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 36 hours and that the standard deviation is 6 hours.

Based on this information, answer the questions below.

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

H0: μ is (chose one) less than, less than or equal to, greater than, greater than or equal to, not equal to, equal to ....(chose one) 40 hours,  36 hours,  or 6 hours

H1: μ is (chose one) less than, less than or equal to, greater than, greater than or equal to,  not equal to, or equal to ....(chose one) 40 hours,  36 hours,  or 6 hours

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

A Type I error is (rejecting, or failing to reject) the hypothesis that μ is (chose one)less than, less than or equal to, greater than, greater than or equal to, not equal to, or equal to...( chose one) 40 hours, 36 hours, or 6 hours when, in fact, μ is less than, less than or equal to, greater than, greater than or equal to, not equal to, or equal to ....(chose one) 40 hours, 36 hours, or 6 hours.

3. Suppose that we decide not to reject the null hypothesis. What sort of error might we be making.... (chose one)  Type I or Type II

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