When the workers for a major automobile manufacturer go on strike, there are repercussions throughout the rest of the economy; in particular, the dealers who sell the cars and trucks feel the pinch. Dealers like to maintain a two-month supply to give their customers adequate selection, but when the manufacturer cannot deliver the vehicles, inventories dwindle. The June 1997 days' supply of Chevrolet S-10 pickup trucks was 106 vehicles, but shortly after the United Auto Workers strike in Flint, Michigan, the June 1998 days' supply of these trucks had dropped to a mean of 38 and standard deviation of 16. Suppose one month after the strike was settled, 150 dealers are sampled and the S-10 inventories yield a mean days' supply of 41 trucks. Based on this new evidence, complete the hypothesis test of Ho: μ = 38 versus Ha: μ > 38 at the 0.02 level of significance using the P-value approach.
a. Define the parameter.
b. State the null and alternative hypotheses.
c. Specify the hypothesis test criteria.
d. Present the sample evidence.
e. Find the probability distribution information.
f. Determine the results.