Reference no: EM132488256

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 15 days. He finds that Route A takes an average of 46 ?minutes, with standard deviation 3 minutes, and Route B takes an average of 47 minutes, with standard deviation 5 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b.

Use alpha α =0.05.

Find a? 95% confidence interval for the difference between the Route B and Route A commuting? times, (yB-yA.)

The confidence interval is __ and __.