5.72 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=19.1years. Assume that the sample of students was randomly selected from the 6,000 undergraduate students at the Terry College and that =6years.

a. Describe the sampling distribution of x.

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

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

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

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