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 (very dissatisfied) to a high of (very satisfied). Excel File: data05-21.xlsx Probability Job Satisfaction IS Senior IS Middle Score Executives Managers 1 0.05 0.04 2 0.09 0.10 3 0.03 0.12 4 0.42 0.46 5 0.41 0.28 a. What is the expected value of the job satisfaction score for senior executives (to 2 decimals)? b. What is the expected value of the job satisfaction score for middle managers (to 2 decimals)? c. Compute the variance of job satisfaction scores for executives and middle managers (to 2 decimals). Executives Middle managers d. Compute the standard deviation of job satisfaction scores for both probability distributions (to 2 decimals). Executives Middle managers e. What comparison can you make about the job satisfaction of senior executives and middle managers? - Select your answer -

Kindly see explanation

Step-by-step explanation:

Given the data:

JOB satisfaction (x) : 1, 2, 3, 4, 5

IS Senior ; p(x) : 0.05, 0.09, 0.03, 0.42, 0.41

IS Middle ; p(x) : 0.04, 0.10, 0.12, 0.46, 0.28

Expected value of job satisfaction for senior executives :

E(x) = Σp(x) * x = [(1*0.05) + (2*0.09) + (3*0.03) + (4*0.42) + (5*0.41)]

= 4.05

B) Σp(x) * x = [(1*0.04) + (2*0.10) + (3*0.12) + (4*0.46) + (5*0.28)]

= 3.84

C.) Job variance for executives:

Σ(x - E(x))² * p(x) :

((1 - 4.05)^2 * 0.05) + ((2 - 4.05)^2 * 0.09) + ((3 - 4.05)^2 * 0.03) + ((4 - 4.05)^2 * 0.42) + ((5 - 4.05)^2 * 0.41)

= 1.2475 = 1.25 ( using calculator)

job variance for middle managers :

Σ(x - E(x))² * p(x) :

((1 - 3.84)^2 * 0.04) + ((2 - 3.84)^2 * 0.10) + ((3 - 3.84)^2 * 0.12) + ((4 - 3.84)^2 * 0.46) + ((5 - 3.84)^2 * 0.28)

= 1.1344 = 1.13 (using calculator)

Standard deviation(sd) for (senior managers) :

sd = √variance

sd = √1.25 = 1.118 = 1.12

Standard deviation(sd) for (middle managers) :

sd = √variance

sd = √1.13 = 1.063 = 1.06

The expected value (mean) for senior executives (4.05) is slightly higher Than obtained for middle managers (3.84). Similarly the measure of Variation in job satisfaction ; standard deviation and variance is also higher for senior managers than in middle managers.

the square root of what number? if you add that, then someone will probably answer the question.

i think the correct option is the second option.