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 Salary31.7 35.6 32.2 35.6 27.8 31.7 4 (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 p(x) as fractions.) 31.95 29.7517 195 33.65 35.60 31.70 p(x) 15 15 (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 x. (Enter your answers as fractions.) 29.75 33.65 33.90 p(x)

Answer 1

a)

xbar	29.75	30	31.7	31.95	33.65	33.9	35.6
p(xbar)	2/15	1/15	1/5	2/15	4/15	2/15	1/15

b)

xbar	29.75	33.65	33.9
p(xbar)	1/3	1/3	1/3