As part of a study of corporate employees, the director of human resources for pnc, inc., wants to compare the distance traveled to work by employees at its office in downtown cincinnati with the distance for those in downtown pittsburgh. a sample of 35 cincinnati employees showed they travel a mean of 370 miles per month. a sample of 40 pittsburgh employees showed they travel a mean of 380 miles per month. the population standard deviation for the cincinnati and pittsburgh employees are 30 and 26 miles, respectively. at the .05 significance level, is there a difference in the mean number of miles traveled per month between cincinnati and pittsburgh employees?