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 $30,000. Consider a random sample of 50 travel managers, and let x̅ represent the mean salary for the sample.
a. What is (x̅?
b. What is (x̅?
c. Describe the shape of the sampling distribution of x̅.
d. Find the z-score for the value x̅ = $100,000.
e. Find P(x̅ > 100,000).