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A Paint Manufacturer Fills Cans of Paint Using a Machine

Question 8

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A paint manufacturer fills cans of paint using a machine that has been calibrated to fill the cans to contain an average of 1 gallon (128 ounces) each. To test whether their machine has come out of calibration, the manufacturer takes a random sample of 25 cans and finds that they average 128.2 ounces with a standard deviation of 2 ounces. Is this strong evidence that the filling machine is set too high and thus is no longer calibrated properly?
What are the null and alternative hypotheses in this situation?


A) H0: = 128 Ha: < 128
B) H0: = 128 Ha: > 128
C) H0: = 128 Ha: 128
D) H0: = 128 Ha: = 128.2

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