Almost all companies utilize some type of year end performance review for their

Question

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. for example, racers are advised to examines Suppose you are rating an 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 49 and a standard deviation of 15. Complete parts a and b. a. What is the lowest rating you should given to an "exemplary" employee. If you follow the university HR guidelines? b. What is the lowest rating you should give to a "competent" employee if you follow the university's guidelines?

Explanation / Answer

Answer to the question:

a.

Top 10% get exemplary

So, the Z regarding to 90 percentile is 1.28

The score associated with this Z is 1.28*15+49 = 68.2

b.

A completent falls in the percenitles of 30 to 70 or .3 to .7

Lowest score therefore for a "Competent" is .3 or 30% in the cum. dist

SO, P(Z = x) = .3

x = -.525*15+49 = 41.125

This is the lowest a Competent can get = 41.125

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