Question: Length of time working for an employer . Workers are much less likely to remain with one employer for many years than their parents were a generation before (Georgia Trend, January 2005). Do today’s college students understand that the workplace they are about to enter is vastly different than the one their parents entered? To help answer this question, researchers at the Penn State University 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 resulting sample had x̅=19.1 years and s=6 years. Assume the sample of students was randomly selected from the 5,800 undergraduate students in the Penn State University.

1. (2 points) Describe the sampling distribution of x̅.
2. (3 points) If the population mean was 18.5 years, what is P(x̅≥19.1years) ?
3. (3 points) If the population mean was 19.5 years, what is P(x̅≥19.1years)?
4. (2 points) If P(x̅≥19.1)=.5 , what is the population mean?
5. (2 points) If P(x̅≥19.1)=.2 , is the population mean greater or less than 19.1 years? Justify your answer.

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