Recall that \"very satisfied\" customers give the XYZ-Box video game system a ra
ID: 3259327 • Letter: R
Question
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 70 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 hypothesis H_0 and the alternative hypothesis H_a needed if we wish to attempt to provide evidence supporting the claim that mu exceeds 42. H_0: mu lessthanorequalto 42 versus H_a: mu > 42. (b) The random sample of 70 satisfaction ratings yields a sample mean of x = 42.830. Assuming that sigma equals 2.63, use critical values to test H_0 versus H_a at each of a = 10, 05. 01, and 001. (Round your answer z_.05 to 3 decimal places and other z-scores to 2 decimal places.) z = 2.64Explanation / Answer
Ho: u <42 ; Ha : u >42
b)
z0.1 = 1.645
z0.05 = 1.86
z0.01 = 2.576
z.001 = 3.09
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