Homework: M9-Ch14 Hw Question 8, 14.CE.31-T HW Score: 35.71%, 5 of 14 points Part 2 of 2

Homework: Mg.Ch14 Hw Question 8, O O HW score: 35.71%, 5 ot 14 points @ Points: O ot 1 Part 2 of 2 Save A trucking company would like to compare b,vo different routes for efficiency. Truckers are randomly assigned to two different routes Twenty truckers following Route A report an average of 50 minutes, with a standard deviation of 3 minutes. Twenty truckers following Route B report an average of 55 minutes, With a standard deviation of 4 minutes Histograms of travel times for the routes are roughly symmetric and show no outliers. a) Find a 95% confidence interval for the difference in the commuting time for the t'.'0 routes b) Does the result in part (a) provide sufficient evidence to conclude that the company Will save time by always driving one of the routes? Explain. a) The 95% confidence interval for the difference in the commuting time for the two routes -WA is ( 2.73 minutes, 7.27 minutes). (Round to two decimal places as needed) b) Choose the correct answer below. Yes; since the confidence interval does not contain 0, there is sufficient evidence that Route A is faster, on average. No; since the confidence interval contains 0, there is insufficient evidence that either route is faster, on average. No; since the confidence interval does not contain 0, there is insufficient evidence that either route is faster, on average. Yes; since the confidence interval does not contain 0, there is sufficient evidence that Route 8 is faster, on average. Yes; since the confidence interval contains 0, there is sufficient evidence that Route 8 is faster, on average.