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 1 1 2 3 2 3 Employee 1 2 3 4 5 6 Salary 20.7 24.6 21.2 24.6 16.8 20.7 (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 p(x) as fractions.) 18.75 20.70 20.95 22.65 24.60 2 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.) 18.75 22.65 22.90 0.3333 |x 0.3333 0.3333

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
1
1
2
2
3
Employee
2
3
5
Salary
20.7
24.6
21.2
24.6
16.8
20.7
(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 p(x) as fractions.)
18.75
20.70
20.95
22.65
24.60
P(x)
15
15
(b) Suppose one of the three offices is randomly selected. Let X, and X, denote the salaries of the two employees.
Determine the sampling distribution of X. (Enter your answers as fractions.)
18.75
22.65
22.90
0.3333
0.3333
0.3333
Transcribed Image Text: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 1 1 2 2 3 Employee 2 3 5 Salary 20.7 24.6 21.2 24.6 16.8 20.7 (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 p(x) as fractions.) 18.75 20.70 20.95 22.65 24.60 P(x) 15 15 (b) Suppose one of the three offices is randomly selected. Let X, and X, denote the salaries of the two employees. Determine the sampling distribution of X. (Enter your answers as fractions.) 18.75 22.65 22.90 0.3333 0.3333 0.3333
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