A study was conducted to compare the salaries of accounting clerks and data entry operators. One of the hypotheses to be tested is that the variability of salaries among accounting clerks is the same as the variability of salaries of data entry operators. To test this hypothesis, a random sample of 16 accounting clerks was taken, resulting in a sample mean salary of $26,400 and a sample standard deviation of $1,200. A random sample of 14 data entry operators was taken as well, resulting in a sample mean of $25,800 and a sample standard deviation of $1,050. Use these data and α = .05 to test to determine whether the population variance of salaries is the same for accounting clerks as it is for data entry operators.
Assume that salaries of data entry operators and accounting clerks are normally distributed in the population.