The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied). Job Satisfaction Score Probability IS Senior Executives IS Middle Managers 1 0.05 0.03 2 0.09 0.10 3 0.03 0.12 4 0.43 0.46 5 0.40 0.29 (a) What is the expected value of the job satisfaction score for senior executives? (b) What is the expected value of the job satisfaction score for middle managers? (c) Compute the variance of job satisfaction scores for executives and middle managers. executives middle managers (d) Compute the standard deviation of job satisfaction scores for both probability distributions. (Round your answers to two decimal places.)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
| Job Satisfaction Score |
Probability | |
|---|---|---|
| IS Senior Executives |
IS Middle Managers |
|
| 1 | 0.05 | 0.03 |
| 2 | 0.09 | 0.10 |
| 3 | 0.03 | 0.12 |
| 4 | 0.43 | 0.46 |
| 5 | 0.40 | 0.29 |
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