According to a Natimal Business Travel Association (NBTA) 2008 survey, the average salary of a travel management professional is $97,300. Assume that the standard deviation of such salaries is $30,000. Consider a random sample of 50 travel management professionals, and let x represent the mean salary for the sample.
a. What is μx-bar?
b. What is σx-bar?
c. Describe the shape of the sampling distribution of x-bar.
d. Find the z -score for the value x-bar = $89,500.
e. Find P(x-bar > 89,500).