Question: T HE 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 H ₀ 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 H ₀ 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 H ₀ 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?

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