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 32 PlayStation users had an average age of

33.7 years while a random sample of 36 Xbox users had an average age of 35.6 years. Assume that

the population standard deviation for the age of PlayStation and Xbox users is 3.7 and 3.5 years,

respectively. Sony would like to set

= 0.05. The standard error of the difference between two

means for this hypothesis test would be ________.

A)

0.441

B)

0.876

C)

0.308

D)

0.647