a. What is the lowest rating you should give to an "exemplary" employee if you follow the university's HR guidelines? (Round to three decimal places as needed.) b. What is the lowest rating you should give to a "competent" employee if you follow the university's guidelines? (Round to three decimal places as needed.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Almost all companies utilize some type of year-end performance review for their employees. Human Resources (HR) at a university's Health Science Center
provides guidelines for supervisors rating their subordinates. For example, raters are advised to examine their ratings for a tendency to be either too lenient or
too harsh. According to HR, "if you have this tendency, consider using a normal distribution-10% of employees (rated) exemplary, 20% distinguished, 40%
competent, 20% marginal, and 10% unacceptable." Suppose you are rating an employee's performance on a scale of 1 (lowest) to 100 (highest). Also,
assume the ratings follow a normal distribution with a mean of 54 and a standard deviation of 14. Complete parts a and b.
Click the icon to view the standard normal distribution table.
a. What is the lowest rating you should give to an "exemplary" employee if you follow the university's HR guidelines?
(Round to three decimal places as needed.)
b. What is the lowest rating you should give to a "competent" employee if you follow the university's guidelines?
(Round to three decimal places as needed.)
Transcribed Image Text:Almost all companies utilize some type of year-end performance review for their employees. Human Resources (HR) at a university's Health Science Center provides guidelines for supervisors rating their subordinates. For example, raters are advised to examine their ratings for a tendency to be either too lenient or too harsh. According to HR, "if you have this tendency, consider using a normal distribution-10% of employees (rated) exemplary, 20% distinguished, 40% competent, 20% marginal, and 10% unacceptable." Suppose you are rating an employee's performance on a scale of 1 (lowest) to 100 (highest). Also, assume the ratings follow a normal distribution with a mean of 54 and a standard deviation of 14. Complete parts a and b. Click the icon to view the standard normal distribution table. a. What is the lowest rating you should give to an "exemplary" employee if you follow the university's HR guidelines? (Round to three decimal places as needed.) b. What is the lowest rating you should give to a "competent" employee if you follow the university's guidelines? (Round to three decimal places as needed.)
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