Very satisfied customers give the XYZ-Box video game system a rating that is at least 42. Suppose the manufacturer wishes to use a 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 hypothesesneeded 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.