MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Performance Review Guidelines for University Supervisors**

Most organizations use some form 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 46 and a standard deviation of 13. Complete parts a and b.

Click the icon to view the standard normal distribution table.

**Questions:**

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.)*

[ ] 

This exercise involves understanding normal distribution and applying statistical principles to determine appropriate performance ratings. Using the provided mean and standard deviation, along with the mentioned percentiles (e.g., top 10% for exemplary), you can derive the specific ratings that correspond to these performance categories.
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Transcribed Image Text:**Performance Review Guidelines for University Supervisors** Most organizations use some form 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 46 and a standard deviation of 13. Complete parts a and b. Click the icon to view the standard normal distribution table. **Questions:** 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.)* [ ] This exercise involves understanding normal distribution and applying statistical principles to determine appropriate performance ratings. Using the provided mean and standard deviation, along with the mentioned percentiles (e.g., top 10% for exemplary), you can derive the specific ratings that correspond to these performance categories.
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