WageWeb is service of HRPDI and provides compensation information on more than 170 benchmark positions in human resources. The October 2003 posting indicated that labor relation managers earn mean annual salary of $87,200. Suppose that annual salaries are normally distributed and have standard deviation of $9225. (Provide your answers correct to four decimal places.)
(a) Determine the probability that the randomly chosen labor relation manager earned more than $101,700 in 2003?
(b) A sample of 29 labor relation managers is taken, and annual salaries are reported. Determine the probability that the sample mean annual salary falls between $85,800 and $88,300?