Qusetion: A dean must distribute salary raises to her faculty for next year. She has decided that the mean raise is to be $2,000, the standard deviation of raises is to be $400, and the distribution is to be normal. She will attempt to distribute these raises on the basis of merit, mean- ing that people whose performance is better get better raises.
(a) The most productive 10% of the faculty will have a raise equal to or greater than $ .
(b) The 5% of the faculty who have done nothing useful in years will receive no more than $ each.