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 66 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. In the context of this situation, interpret making a Type I error; interpret making a Type II error.
c. Using the information in part b, calculate the p-value and use it to test Ho versus Ha at each of a= .10, .06, .01, and .001.
d. how much evidence is there that the mean composite satisfaction rating exceeds 42?