Question

A machine fills milk bottles, the mean amount of milk in each bottle is supposed to be 32 oz with a standard deviation of 0.06 oz. Suppose the mean amount of milk is approximately normally distributed. To check if the machine is operating properly, 36 filled bottles will be chosen at random and the mean amount will be determined. If it is determined that the machine is working improperly, the machine will shut down and production will cease for the reminder of the day. What would be the consequence of making a Type II error?

A) The machine is shut down even though it is working properly.

B) The machine is shut down even though it is working improperly.

C) The machine is not shut down even though it is working improperly.

D) The machine is not shut down even though it is working properly.

Answer 1

Ho: = 32

Ha: 32

Accept/reject	Ho True	Ho False
Reject Ho	Type I error	correct
Accept Ho	correct	Type II error

Type II error is Ho is false but we fail to reject.

Ho is false, i.e. the mean amount of milk in each bottle is not equal to 32 oz (machine is working improperly)

But we fail to reject; hence machine is not shut down.

ANS: TYPE II erro -  C) The machine is not shut down even though it is working improperly.