Sony would like to test the hypothesis that the average age of a PlayStation use

Question

Sony would like to test the hypothesis that the average age of a PlayStation user is different from the average age of an Xbox user. A random sample of 36 PlayStation users had an average age of 34.2 years while a random sample of 30 Xbox users had an average age of 32.7 years. Assume that the population standard deviation for the age of PlayStation and Xbox users is 3.9 and 4.0 years, respectively. Sony would like to set a = 0.10. The standard error of the difference between two means for this hypothesis test would be ________. A. 1.630 B. 0.503 C. 0.978 D. 1.945

Explanation / Answer

Standard error = sqrt ((s1^2/n1) + (s2^2/n2))

                            = sqrt ((3.9^2/36)+(4^2/30)

                            = sqrt (0.955833)

                      = 0.978

Answer: ( C ) 0.978

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