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 43 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 46 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 thanless than or equal togreater thangreater than or equal tonot equal toequal to ?46343H1: μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?46343In the context of this test, what is a Type II error?A Type II error is ?rejectingfailing to reject the hypothesis that μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?46343 when, in fact, μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?46343.Suppose that the managers decide to reject the null hypothesis. What sort of error might they be making? ?Type IType 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 43 minutes, but the managers have reason to believe that this valu

Null and alternative hypothesis: The manager is specially interested to test whether the mean…

Answered: Managers at an automobile manufacturing…

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Managers at an automobile manufacturing plant would like to examine the mean completion time,

, of an assembly line operation. The past data indicate that the mean completion time is

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

minutes. The standard deviation of the population of completion times can be assumed not to have changed from the previously reported value of

minutes.

Based on this information, answer the questions below.

What are the null hypothesis (

) and the alternative hypothesis (

) that should be used for the test?

is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?46343

is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?46343

In the context of this test, what is a Type II error?

A Type II error is ?rejectingfailing to reject the hypothesis that

is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?46343 when, in fact,

is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?46343.

Suppose that the managers decide to reject the null hypothesis. What sort of error might they be making? ?Type IType II

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