Length of job tenure. Researchers at the Terry College ofBusiness 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 atthe Terry College and that = 6 years.

Describe the sampling distribution of $\bar{X}$ .
If the mean for the 6,000 undergraduate students is $μ$ = 18.5 years, find $P (\bar{x} > 19.1)$ .
If the mean for the 6,000 undergraduate students is $μ$ = 19.5 years, find $P (\bar{x} > 19.1)$ .
If, $P (\bar{x} > 19.1) = 0.5$ what is $μ$ ?
If, $P (\bar{x} > 19.1) = 0.2$ is $μ$ greater than or less than 19.1years? Explain.

Question

Accepted Answer

The sampling distribution of $\bar{X}$ is $\frac{\bar{x} - μ}{\frac{σ}{\sqrt{344}}}$
If the mean for the 6,000 undergraduate students is $μ$ = 18.5 years, $P (\bar{X} > 19.1)$ $\approx 0.0318$ .
If the mean for the 6,000 undergraduate students is $μ$ = 19.5 years, find $P (\bar{X} > 19.1)$ $\approx 0.8919$ .
If $P (\bar{X} > 19.1) = 0.5$ , $μ$ =19.1
If $P (\bar{X} > 19.1) = 0.2$ , $μ$ is less than 19.1.

1.72	2.50	2.16	2.13	1.06	2.24	2.31	2.03	1.09	1.40
2.57	2.64	1.26	2.05	1.19	2.13	1.27	1.51	2.41	1.95

Short Answer