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 hypothesis H0 and the alternative hypothesis Ha needed if we wish to attempt to provide evidence supporting the claim that μ exceeds 42.
b. The random sample of 65 satisfaction ratings yields a sample mean of  = 42.954. Assuming that (r equals 2.64, use critical values to test H0 versus Ha at each of α = .10, .05, .01, and .001.
c. Using the information in part b, calculate the p-value and use it to test H0 versus Ha at each of α = .10. .05. .01. and .001.
d. How much evidence is there that the mean composite satisfaction rating exceeds 42?