Amachine 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 0.4. a) should h0 be rejected on the basis of this test? explain. check all that are true.

no

yes

p = 0.4 is not small.

both the null and the alternate hypotheses are plausible.

the null hypothesis is plausible and the alternate hypothesis is false.

p = 0.4 is small.

b) can you conclude that the machine is calibrated to provide a mean fill weight of 12 oz? explain. check all that are true.

yes. we can conclude that the null hypothesis is true.

no. we cannot conclude that the null hypothesis is true.

the alternate hypothesis is plausible.

the alternate hypothesis is false.