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 good reason to believe that this value has decreased. 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 42 minutes. The standard

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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 good reason to believe that this value has decreased. 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
42 minutes. The standard deviation of the population of completion times can be assumed not to have changed from the previously reported value of 5 minutes.

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 the managers decide to reject the null hypothesis. What sort of error might they be making?
  ▼(Choose one)  
(c) Suppose the true mean completion time for the assembly line operation is 44 minutes. Fill in the blanks to describe a Type I error.
A Type I 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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