A man who moves to a new cit sees that there are two routes he could take to work. He drives each route for twentv davs. Route A takes an average of 40 minutes. with a standard deviation of 3 minutes. and Route B will take an average of 43 minutes with a standard deviation of 2 minutes. Does route A average faster than Route ? Find a 95% confidence interval for the difference in average commuting time for the two routes