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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 m 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: μ = 128, Ha: μ < 128
B) H0: μ = 128, Ha: μ > 128
C) H0: μ = 128, Ha: μ ≠ 128
D) H0: μ = 128, Ha: μ = 128.2
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