10. The percent frequency distributions of job satisfaction scores for a sample
ID: 2922880 • Letter: 1
Question
10. 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 (%) 4 10 12 46 28 42 41 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 managersExplanation / Answer
a) The probability distribution for the job satisfaction score of a senior executive is obtained as:
( The percentages given are simply divided by 100 to get the probability )
b) The probability distribution for the job satisfaction score of a IS Middle Managers is obtained as:
c) Probability that a senior executive will report a job satisfaction score of 4 or 5 is computed as:
= 0.42 + 0.41
= 0.83
Therefore 0.83 is the required probability here.
d) Probability that a middle manager is very satisfied that is with a score of 5 is computed to be 0.28
Therefore 0.28 is the required probability here.
e) The expected job satisfaction score for IS senior executives is computed as:
E( IS senior executives ) = 1*0.05 + 2*0.09 + 3*0.03 + 4*0.42 + 5*0.41 = 4.05
Similar expected score for IS middle managers is computed as:
E( IS senior executives ) = 1*0.04 + 2*0.10 + 3*0.12 + 4*0.46 + 5*0.28 = 3.84
Therefore clearly IS senior executives are more job satisfied than the IS middle managers.
Job Satisfaction score IS Senior Executives Probability 1 0.05 2 0.09 3 0.03 4 0.42 5 0.41Related Questions
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