Question: 8 THE VIDEO GAME SATISFACTION RATING: 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 \(\mu \) 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 \(\mu \) exceeds 42.

b) In the context of this situation, interpret making a Type I error; interpret making a Type II error.