A company maintains three offices in a certain region, each staffed by two employees. Information concerning yearly

Question:

A company maintains three offices in a certain region, each staffed by two employees. Information concerning yearly salaries (1000s of dollars) is as follows:

a. Suppose two of these employees are randomly selected from among the six (without replacement).
Determine the sampling distribution of the sample mean salary .
b. Suppose one of the three offices is randomly selected. Let X1 and X2 denote the salaries of the two employees. Determine the sampling distribution of .
c. How does E() from parts (a) and (b) compare to the population mean salary m?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...