60 Salaries of travel professionals. 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 mx ?

b. What is sx ?

c. Describe the shape of the sampling distribution of x.

d. Find the z -score for the value x = +89,500.

e. Find P(x 7 89,500).