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).

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 ?x-bar? ,b. What is ?x-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).