59. Accountants' Salaries. According to accountingWEB.com, the mean starting salary for a new accountant right out of college was $52,900 in 2014. A random sample of 16 new accountants has a mean salary of $54,000. We assume that the population standard deviation equals $4000. The histogram of the salary (in $1000s) is shown here. If it is appropriate to apply the test, then do so, using the critical-value method and level of significance . If not, then explain clearly why not.
9.2.59
The histogram indicates that the data are extremely right-skewed and therefore not normally distributed. Thus Case 1 does not apply. Since the sample size of is small (), Case 2 does not apply. Thus it is not appropriate to apply thetest.