Recall that “very satisfied” customers give the XYZ-Box video game system a composite satisfaction rating that is at least 42.

a. Letting m represent the mean composite satisfaction rating for the XYZ-Box, set up the null and alternative hypotheses needed if we wish to attempt to provide evidence supporting the claim that m exceeds 42.

b. The mean and the standard deviation of a sample of 65 customer satisfaction ratings are 42.95 and 2.6424, respectively.

(1) Use a critical value to test the hypotheses you set up in part a by setting α equal to .01.

(2) Interpret the p- value of .0025 for the test.