Question 17Hello I need the confidence interval part a)

STA2023 Fall 2021 Sections OMB and 1M4 i Question 17, 20.CE.61-T HW Score: 95.59%, 16.25 of 17 points (a) Part 1 of 2 ) @ Points: 0.25 of 1 A man who moves to a new city sees thatthere 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 ips a coin to determine which way to go. driving each route 10 days. He nds that Route A takes an average of 50 minutes, with standard deviation 3 minutes. and Route B takes an average of 52 minutes, with standard deviation 1 minute. Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b. a) Find a 95% condence interval for the dierence between the Route B and Route A commuting times, 013 - pA). The condence interval is (EH1). (Round to two decimal places as needed.)