A manufacturer makes parts under a government contract which specifies a mean weight of 100 grams and a tolerance of 1 gram. That is, the govern¬

ment will reject parts unless the weight is between 99 and 101 grams. To meet these tolerances, the manufacturer wants the variance of weight to be no more than 0.5 gram. He samples five parts and observes weights 99.6, 101.2, 100.4, 98.8, and 100.0. He is willing to assume that the weights are normally distributed. Find the p-value for the test of H0:a2< .5 against H\:a2> .5.