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 2 Employee 2 4 5 Salary 30.7 34.6 31.2 34.6 26.8 30.7 (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.) 28.75 30.70 30.95 32.65 34.60 (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.) 28.75 32.65 32.90 P(x) (c) How does E(X) from parts (a) and (b) compare to the population mean salary µ? E(X) from part (a) is --Select- v u, and E(X) from part (b) is --Select-- v .

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 2 Employee 2 4 5 Salary 30.7 34.6 31.2 34.6 26.8 30.7 (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.) 28.75 30.70 30.95 32.65 34.60 (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.) 28.75 32.65 32.90 P(x) (c) How does E(X) from parts (a) and (b) compare to the population mean salary µ? E(X) from part (a) is --Select- v u, and E(X) from part (b) is --Select-- v .

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

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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
2
3
3
Employee
1
2
3
4
6
Salary
30.7
34.6
31.2
34.6
26.8
30.7
(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.)
28.75
30.70
30.95
32.65
34.60
2
P(X)
(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.)
28.75
32.65
32.90
P(x)
(c) How does E(X) from parts (a) and (b) compare to the population mean salary u?
E(X) from part (a) is ---Select-- v u, and E(X) from part (b) is --Select---
u.

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