66 Length of job tenure. Researchers at the Terry College of Business at the University of Georgia sampled 344 business students and asked them this question: “Over the course of your lifetime, what is the maximum number of years you expect to work for any one employer?” The sample resulted in x = 19.1 years. Assume that the sample of students was randomly selected from the 6,000 undergraduate students at the Terry College and that s = 6 years.

a. Describe the sampling distribution of x.

b. If the mean for the 6,000 undergraduate students is m = 18.5 years, find P(x 7 19.1)

c. If the mean for the 6,000 undergraduate students is m = 19.5 years, find P(x 7 19.1)

d. If P(x 7 19.1) = .5 , what is m ?

e. If P(x 7 19.1) = .2 , is m greater than or less than 19.1 years? Explain.