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 0.04 2 0.09 0.10 3 0.03 0.12 4 0.44 0.46 5 0.39 0.28 (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.) executives middle managers (e) Compare the overall job satisfaction of senior executives and middle managers. The average score for senior executives is ---Select--- the middle managers score. The standard deviation for senior executives is ---Select--- the middle managers standard deviation.
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The expected value is calculated as the sum of the product of each score and its probability. For senior executives: E(X) = (1)(0.05) + (2)(0.09) + (3)(0.41) + (4)(0.39) + (5)(0.06) For middle managers: E(Y) = (1)(0.04) + (2)(0.10) + (3)(0.12) + (4)(0.46) + Show more…
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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 0.04 0.12 4 0.42 0.47 5 0.40 0.28 (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.) executives ___. middle managers ___. (e) Compare the overall job satisfaction of senior executives and middle managers. The average score for senior executives is ---Select--- (lower than)? (higher than)? (equal to)? the middle managers score. The standard deviation for senior executives is ---Select--- (lower than)? (higher than)? (equal to)? the middle managers standard deviation.
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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 0.04 2 0.09 0.10 3 0.03 0.13 4 0.42 0.46 5 0.41 0.27 (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.) executives middle managers (e) Compare the overall job satisfaction of senior executives and middle managers. The average score for senior executives is lower than higher than equal to the middle managers score. The standard deviation for senior executives is lower than higher than equal to the middle managers standard deviation.
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The level of support for corporate sustainability (measured on a quantitative scale ranging from 0 to 160 points) was obtained for 985 senior managers at CPA firms. The accompanying table gives the mean and standard deviation for the level of support variable. It can be shown that level of support is approximately normally distributed. Complete parts a. through d. N: 985 Mean: 66.976 StDev: 26.045 Variance: 678.342 Minimum: 0.000 Maximum: 157.000 Range: 157.000 b. Find the probability that the level of support for corporate sustainability of a randomly selected senior manager is between 38 and 119 points. The probability that a randomly selected manager gets between 38 and 119 points is 0.844. (Round to three decimal places as needed.) c. Find the probability that the level of support for corporate sustainability of a randomly selected senior manager is greater than 119 points. The probability that a randomly selected manager gets more than 119 points is 0.023. (Round to three decimal places as needed.) d. One-fourth of the 985 senior managers indicated a level of support for corporate sustainability below what value? One-fourth of the 985 senior managers indicated a level of support below. (Round to two decimal places as needed.)
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