Almost an companies utilize some type of year-end performance review for their e

Question

Almost an 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 46 and a standard deviation of 15. Complete parts a and b Click here to view a table of areas under the standardized normal curve What is the lowest rating you should give to an "exemplary" employee if you follow the university's HR guidelines? What is the lowest rating you should give to a "competent" employee if you follow the university's guidelines?

Explanation / Answer

for mula to be used

x = zscore*standard deviation + mean

a) the 10% mean the top 90

the z score for 0.9 = 1.645

mean = 46

standard deviation = 15

therefore

x = 46 + 1.645*15

x = 70.645

b) the competent will be the 40%, therefore

we will use the z score for 0.30= -0.52

therefore

x = 46 - 0.52*(15)

= 38.2

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