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 Employee 1 Salary X p(x) 1 2 2 3 31.7 35.6 32.2 (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.) 29.75 31.70 X p(x) 2 4 35.6 1 15 29.75 3 5 27.8 3 6 31.7 31.95 33.65 (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.) 33.65 33.90 2 15 35.60 (c) How does E(X) from parts (a) and (b) compare to the population mean salary μ? ✪ μ, and E(X) from part (b) is equal to E(X) from part (a) is equal to ✪ H.
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 Employee 1 Salary X p(x) 1 2 2 3 31.7 35.6 32.2 (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.) 29.75 31.70 X p(x) 2 4 35.6 1 15 29.75 3 5 27.8 3 6 31.7 31.95 33.65 (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.) 33.65 33.90 2 15 35.60 (c) How does E(X) from parts (a) and (b) compare to the population mean salary μ? ✪ μ, and E(X) from part (b) is equal to E(X) from part (a) is equal to ✪ H.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please answer all parts because it’s one question :)
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
Employee 1
Salary
X
1
2
31.7 35.6
P(x)
(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.)
29.75
31.70
X
p(x)
2
2
3
4
32.2 35.6
1
15
29.75
3
5
27.8
3
6
31.7
31.95
33.65
2
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.)
33.65
33.90
to
35.60
(c) How does E(X) from parts (a) and (b) compare to the population mean salary μ?
E(X) from part (a) is equal to
✪ μ, and E(X) from part (b) is equal to
✪
H.
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