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The percent frequency distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers are as follows. The scores range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied). Job Satisfaction Score IS Senior Executives (%) IS Middle Managers (%) 1 5 4 2 9 10 3 3 12 4 42 46 5 41 28 a. Develop a probability distribution for the job satisfaction score of a senior executive. b. Develop a probability distribution for the job satisfaction score of a middle manager. c. What is the probability a senior executive will report a job satisfaction score of 4 or 5? d. What is the probability a middle manager is very satisfied? e. Compare the overall job satisfaction of senior executives and middle managers.

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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
BuyFind

STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

Solutions

Chapter
Section
Chapter 5.2, Problem 10E
Textbook Problem

The percent frequency distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers are as follows. The scores range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied).

Job Satisfaction

Score

IS Senior

Executives (%)

IS Middle

Managers (%)

1 5 4
2 9 10
3 3 12
4 42 46
5 41 28
  1. a. Develop a probability distribution for the job satisfaction score of a senior executive.
  2. b. Develop a probability distribution for the job satisfaction score of a middle manager.
  3. c. What is the probability a senior executive will report a job satisfaction score of 4 or 5?
  4. d. What is the probability a middle manager is very satisfied?
  5. e. Compare the overall job satisfaction of senior executives and middle managers.

Expert Solution

a.

To determine

Construct a probability distribution for the job satisfaction score of a senior executive.

Explanation of Solution

Calculation:

The data represents the percent frequency distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers. The range of scores is from 1 (very dissatisfied) to 5 (very satisfied).

Here, the total number of IS senior executives is 100. The corresponding probabilities of the random variable x are obtained by dividing the percentage of IS senior executives by total number of IS senior executives.

That is, f(x)=fN

For example, f(1)=0

Expert Solution

b.

To determine

Construct a probability distribution for the job satisfaction score of a middle manager.

Expert Solution

c.

To determine

Find the probability that a senior executive will report a job satisfaction score of 4 or 5.

Expert Solution

d.

To determine

Find the probability that a middle manager is very satisfied.

Expert Solution

e.

To determine

Compare the overall job satisfaction of senior executives and middle managers.

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Chapter 5 Solutions

STATISTICS F/BUSINESS+ECONOMICS-TEXT
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