WageWeb is service of HRPDI and provides compensation information upon more than 170 benchmark positions in human resources. The October 2003 posting pointed out that labor relation managers earn mean annual salary of $86,400. Suppose that annual salaries are normally distributed and have standard deviation of $8525. (Provide your answers correct to four decimal places.)
(a) What is the probability that a randomly chosen labor relation manager earned more than $106,000 in 2003?
(b) A sample of 17 labor relation managers is taken, and annual salaries are reported. What is the probability that the sample mean annual salary falls between $85,400 and $88,800?