How much evidence is there that the mean composite satisfaction rating exceeds 42?
THE VIDEO GAME SATISFACTION RATING CASE VideoGame
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 Ha 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 . Assuming that σ equals 2.64, use critical values to test H0 versus Ha 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 Ha at each of α = .10, .05, .01, and .001.
d How much evidence is there that the mean composite satisfaction rating exceeds 42?