A machine that fills cereal boxes is supposed to be calibrated so that the mean fill weight is 12 oz. Let μ denote the true mean fill weight. Assume that in a test of the hypotheses H0 :μ = 12 versus...

A machine that fills cereal boxes is supposed to be calibrated so that the mean fill weight is 12 oz. Let μ denote the true mean fill weight. Assume that in a test of the hypotheses H0 :μ = 12 versus H1 :μ = 12, the P-value is 0.30.

a. Should H0 be rejected on the basis of this test? Explain.

b. Can you conclude that the machine is calibrated to provide a mean fill weight of 12 oz? Explain.