A machine filles milk bottles, the mean amount of milk per bottle is supposed to be 32 Oz with a standard deviation of 0.07 Oz. The mean amount of milk is normally distributed. Your boss claims that the mean amount of milk per bottle is greater than 32 Oz. To check if the machine is operating properly, 49 filled bottles will be chosen at random. With an alpha = 0.09, you are to test that Ho: us 32, what should be the rejection а. criterion be? b. Find the power of the test if the true mean is 32.03 Oz. Find the probability of a type Il error. d. Explain the type Il error and the power of the test you found from above. С.

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A machine filles milk bottles, the mean
amount of milk per bottle is supposed to be
32 Oz with a standard deviation of 0.07 Oz.
The mean amount of milk is normally
distributed. Your boss claims that the mean
amount of milk per bottle is greater than 32
Oz. To check if the machine is operating
properly, 49 filled bottles will be chosen at
random.
With an alpha = 0.09, you are to test that
Ho: us 32, what should be the rejection
а.
criterion be?
b. Find the power of the test if the true
mean is 32.03 Oz.
С.
Find the probability of a type Il error.
d. Explain the type Il error and the power of
the test you found from above.
Transcribed Image Text:A machine filles milk bottles, the mean amount of milk per bottle is supposed to be 32 Oz with a standard deviation of 0.07 Oz. The mean amount of milk is normally distributed. Your boss claims that the mean amount of milk per bottle is greater than 32 Oz. To check if the machine is operating properly, 49 filled bottles will be chosen at random. With an alpha = 0.09, you are to test that Ho: us 32, what should be the rejection а. criterion be? b. Find the power of the test if the true mean is 32.03 Oz. С. Find the probability of a type Il error. d. Explain the type Il error and the power of the test you found from above.
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