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: Office Employee 1 Salary 26.7 30.6 27.2 30.6 22.826.7 (a) Suppose two of these employees are randomly selected from among the six (without replacement). Determine the sampling distribution of the sample mean salary X. (Enter your answers for px) as fractions.) 24.75 26.70 26.95 28.65 30.60 15 15 (b) Suppose one of the three offices is randomly selected. Let x, and X2 denote the salaries of the two employees. Determine the sampling distribution of X. (Enter your answers as fractions.) 24.75 28.65 28.90 p(R) (c) How does E(R) from parts (a) and (b) compare to the population mean salary ? E(X) from part (a) is.-Select- , , and E(X) from part (b) is -Select-Tu. Need Help? Read It Talk to a greater than less than equal to

Explanation / Answer

a) from above as 6*5=30 samples possible hence probability of each sample =1/30

b)

c)

E(Xbar) from part (a) is equal to mean and E(Xbar) from part (b) is equal to mean

xbar 24.75 25 26.7 26.95 28.65 28.9 30.6 P(xbar) 2/15 1/15 1/5 2/15 4/15 2/15 1/15

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