Question 17

STA2023 Fall 2021 Sections OM8 and 1M4 Question 17, 20.CE.61-T HW Score: 97.06%, 16.5 of 17 points Part 1 of 2 Points: 0.5 of 1 Save 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 10 days. He finds that Route A takes an average of 47 minutes, with standard deviation 1 minute, and Route B takes an average of 49 minutes, with standard deviation 3 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) Que The confidence interval is () Que (Round to two decimal places as needed.) Que Que