Question

Grading managers. Some companies “grade on a bell curve” to compare the performance of their managers. This forces the use of some low performance ratings, so that not all managers are graded “above average.” A company decides to give A’s to the managers and professional workers who score in the top 15% on their performance reviews, C’s to those who score in the bottom 15%, and B’s to the rest. Suppose that a company’s performance scores are Normally distributed. This year, managers with scores less than 25 received C’s and those with scores above 475 received A’s. What are the mean and standa