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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, H_a: μ < 128

B) H₀: μ = 128, H_a: μ > 128

C) H₀: μ = 128, H_a: μ ≠ 128

D) H₀: μ = 128, H_a: μ = 128.2

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