Conduct a two-tailed hypothesis test given the following information.
The director of human resources at a large firm is comparing the distance traveled to work by employees in their office in downtown Atlanta with the distance for those in the downtown Jacksonville office. A sample of 17 Atlanta employees showed they travel a mean of 369 miles per month, with a sample standard deviation of 29 miles. A sample of 14 Jacksonville employees showed they travel a mean of 381 miles per month, with a sample standard deviation of 25 miles. At the .01 level of significance, is there a difference in the mean number of miles traveled between the two groups?