A man who moves to a new city sees that there are two routes he could...

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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 20 days. He finds that Route A takes an average of 50 minutes, with standard deviation 2 minutes, and Route B takes an average of 53 minutes, with standard deviation 4 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b. a) Find a 95% confidence interval for the difference between the Route B and Route A commuting times, (HB-HA). The confidence interval is ( . ). (Round to two decimal places as needed.) 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 20 days. He finds that Route A takes an average of 50 minutes, with standard deviation 2 minutes, and Route B takes an average of 53 minutes, with standard deviation 4 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b. a) Find a 95% confidence interval for the difference between the Route B and Route A commuting times, (HB-HA). The confidence interval is ( . ). (Round to two decimal places as needed.)