Researchers at the Terry College of Business at the University
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.
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