As part of a study of corporate employees, the Director of Human Resources for PNC wants to compare the distance travelled to work by employees at their office in downtown Edmonton with those in downtown Montreal. A random sample of 35 Edmonton employees showed they travelled a mean of 590 km per month, with a sample standard deviation of 50 km per month. A sample of 28 Montreal employees showed they travelled a mean of 610 km per month, with a sample standard deviation of 34 km per month. Assume that the populations are approximately normal. At the 0.05 significance level, would you conclude that there is a difference between the mean number of kilometers travelled per month by Edmonton and Montreal employees?
Clearly state your hypotheses, the observed value of the appropriate test statistic, the number of degrees of freedom of the test statistic you are using, and the p-value (or bounds on the p-value) that you will base your decision on, and state your actual conclusion.