You are interested in testing the hypothesis that the mean travel time from your home to work in the morning is the same as the mean travel time from work back to home in the evening. To check this hypothesis, you recorded the times for 40 workdays. It turned out that the sample mean for the trip to work was 38 minutes with a sample standard deviation of 4 minutes, and the sample mean of the return trip home was 42 minutes with a sample standard deviation of 7 minutes.

(a) What conclusion can you draw at the 5 percent level of significance?

(b) What is the p value?