A company maintains three offices in a certain region, each staffed by two emplo

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 bar X. (Enter your answers for p(bar x) as fractions.) (b) Suppose one of the three offices is randomly selected. Let X_1 and X_2 denote the salaries of the two employees. Determine the sampling distribution of bar X. (Enter your answers as fractions.) (c) How does E(bar X) from parts (a) and (b) compare to the population mean salary mu? E(bar X) from part (a) is mu, and E(bar X) from part (b) is mu.

Explanation / Answer

a) 33.75-2/15

    37.65-4/15

     35.7-3/15

     35.95-2/15

     34-1/15

     37.9-2/15

     39.6-1/15

b)

33.75-1/15

37.65-1/15

37.90-1/15

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