Question: THE VIDEO GAME SATISFACTION RATING CASE

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 H_a 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 x bar = 42.954. Assuming that s equals 2.64, use critical values to test H₀ versus H_a 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 H_a at each of α = .10, .05, .01, and .001.

? d How much evidence is there that the mean composite satisfaction rating exceeds 42?