Managers at an automobile manufacturing plant would like to examine the mean completion time, μ, of an assembly line operation. The past data indicate that the mean completion time is 44 minutes, but the managers have reason to believe that this value has changed. The managers plan to perform a statistical test.After choosing a random sample of assembly line completion times, the managers compute the sample mean completion time to be 41 minutes. The standard deviation of the population of completion times can be assumed not to have changed from the previously reported value of 3 minutes. 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 than less than or equal togreater thangreater than or equal tonot equal toequal to ?3 minutes41 minutes44 minutes H1: u is ? less than less than or equal togreater thangreater than or equal tonot equal toequal to ? 3 minutes 41 minutes 44 minutes In the context of this test, what is a Type II error? A Type II error is ? rejecting failing to reject the hypothesis that μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?3 minutes41 minutes44 minutes when, in fact, μ is ? less than less than or equal togreater thangreater than or equal tonot equal toequal to ? 3 minutes 41 minutes 44 minutes. Suppose that the managers decide to reject the null hypothesis. What sort of error might they be making? ?Type I Type II

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Description: Managers at an automobile manufacturing plant would like to examine the mean completion time, μ, of an assembly line operation. The past data indicate that the mean completion time is 44 minutes, but the managers have reason to believe that this valu

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Managers at an automobile manufacturing plant would like to examine the mean completion time, μ, of an assembly line operation. The past data indicate that the mean completion time is 44
minutes, but the managers have reason to believe that this value has changed. The managers plan to perform a statistical test.After choosing a random sample of assembly line completion times, the managers compute the sample mean completion time to be 41
minutes. The standard deviation of the population of completion times can be assumed not to have changed from the previously reported value of 3 minutes.

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 than less than or equal togreater thangreater than or equal tonot equal toequal to ?3 minutes41 minutes44 minutes H1: u is ? less than less than or equal togreater thangreater than or equal tonot equal toequal to ? 3 minutes 41 minutes 44 minutes
In the context of this test, what is a Type II error?
A Type II error is ? rejecting failing to reject the hypothesis that

is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?3 minutes41 minutes44 minutes when, in fact, μ is ? less than less than or equal togreater thangreater than or equal tonot equal toequal to ? 3 minutes 41 minutes 44 minutes.
Suppose that the managers decide to reject the null hypothesis. What sort of error might they be making? ?Type I Type II

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