A trucking company would like to compare two different routes for efficiency. Truckers are randomly assigned to two different routes. Twenty truckers following Route A report an average of 40 minutes, with a standard deviation of 4 minutes. Twenty truckers following Route B report an average of 42 minutes, with a standard deviation of 3 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 two routes. ) 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