Recall that "very satisfied" customers give the XYZ-Box video game system a rating that is at least 42. Suppose that the manufacturer of the XYZ-Box wishes to use the random sample of 65 satisfaction ratings to provide evidence supporting the claim that the mean composite satisfaction rating for the XYZ-Box exceeds 42.
a. Letting μ 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 μ exceeds 42.
b. The mean and the standard deviation of the sample of n = 65 customer satisfaction ratings are  = 42.95 and s = 2.6424. Use a critical value to test the hypotheses you set up in part (a) b) setting a equal to .01. Also, interpret the p-value of .0025 for the hypothesis test.