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 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 51 and a standard deviation of 13.

Complete parts a and b.

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

Answer 1