Question 1042477: Managers at an automobile manufacturing plant would like to examine the mean completion time,M , of an assembly line operation. The past data indicate that the mean completion time is 41 minutes, but the managers have reason to believe that this value has increased. 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.
1.
What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test?
2.
Suppose that the managers decide to reject the null hypothesis. What sort of error might they be making?
Type I/ Type II?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Managers at an automobile manufacturing plant would like to examine the mean completion time,M , of an assembly line operation. The past data indicate that the mean completion time is 41 minutes, but the managers have reason to believe that this value has INCREASED. 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.
1.
What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test?
Ho: u <= 41
H1: u > 41 (claim)
------------------------
2.
Suppose that the managers decide to reject the null hypothesis. What sort of error might they be making?
Type I/ Type II?
Ans: Type I
---------------
Cheers,
Stan H.
------------
|
|
|
