Salaries of travel managers. According to a 2012 Business Travel News survey, the average salary of a travel manager is $110,550. Assume that the standard deviation of such salaries is $25,000. Consider a random sample of 40 travel managers, 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 = $100,000.

e. Find P1x 7 100,0002.