Question: Salary of a travel management professional. According to a National 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 ¥ represent the mean salary for the sample.

1. What is \({{\mu }_{{\bar{X}}}}\) ?
2. What is \({{\sigma }_{{\bar{X}}}}\) ?
3. Describe the shape of the sampling distribution of \(\bar{X}\) .
4. Find the z-score for the value \(\bar{X}\) = 89,500.
5. Find P( \(\bar{X}\) > 89,500).

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