• A dean must distribute salary raises to her faculty for next year. She has decided that the mean raise is to be $2000, the standard deviation of raises is to be $400, and the distribution is to be normal. She will attempt to distribute these raises based on merit, meaning that people whose performance is better will get higher raises. You may use R functions OR use z-scores/z-tables (“the long way”) for this problem. Make it clear which approach you use. The most productive 10% of the faculty will have a raise equal to or greater than $___. (2 points) The bottom 5% of the faculty will receive no more than $ ___ each. (2 points)