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Quiz Question 2 of 5 > Submit quiz 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 5 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 44 minutes, with standard deviation 1 minute, and Route B takes an average of 45 minutes, with standard deviation 3 minutes. Histograms of travel times for the routes are roughly symmetric and show no outlers Complete parts a and b. This quiz: 8 points) possible This question: 2 point(s) possible C 5 minutes a) Find a 95% confidence interval for the difference between the Route B and Route A commuting times. (PPA) The confidence interval is 0 (Round to two decimal places as needed.) b) Should the man believe the old-timer's claim that he can save an average of 5 minutes a day by always driving Route A? Explain. because the confidence interval for the difference