a man who moves to a new city sees that there are two routes he could take to work. a neighbor who has lived there a long time tells him route a will average 5 minutes faster than route b. the man decides to experiment. each day he flips a coin to determine which way to​ go, driving each route days. he finds that route a takes an average of ​minutes, with standard deviation ​, and route b takes an average of ​minutes, with standard deviation. histograms of travel times for the routes are roughly symmetric and show no outliers. find a 95% confidence interval for the difference between the Route B and Route A commuting times.