office 1 1 2 2 3 3 Employee 1 3 4 6. Salary 29.7 33.6 | 30.2 33.6 | 25.8 29.7 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. 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. c. How does E(X)from parts (a) and (b) compare to the population mean salary u?

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
3
Employee 1
3
4
6.
Salary
29.7 33.6 | 30.2 33.6 | 25.8 29.7
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.
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.
c. How does E(X)from parts (a) and (b) compare to the
population mean salary u?
Transcribed Image Text:office 1 1 2 2 3 3 Employee 1 3 4 6. Salary 29.7 33.6 | 30.2 33.6 | 25.8 29.7 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. 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. c. How does E(X)from parts (a) and (b) compare to the population mean salary u?
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