Salaries of travel professionals. According to a Natimal Business Travel Association (NBTA...

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

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b. What is

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c. Describe the shape of the sampling distribution of .

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

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