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-bar = 19.1 years. Assume that the sample of students was randomly selected from the 6,000 undergraduate students at the Terry College and that σ = 6 years.
a. Describe the sampling distribution of x-bar.
b. If the mean for the 6,000 undergraduate students is μ = 18.5 years, find P(x-bar > 19.1)
c. If the mean for the 6,000 undergraduate students is μ = 19.5 years, find P(x-bar > 19.1)
d. If P(x-bar > 19.1) = .5, what is μ?
e. If P(x-bar > 19.1) = .2, is μ greater than or less than 19.1 years? Explain.