Trucking company. A trucking company would like to compare two different routes for efficiency. Truckers are ran- domly assigned to two different routes. Twenty truckers fol- lowing Route A report an average of 40 minutes, with a standard deviation of 3 minutes. Twenty truckers following Route B report an average of 43 minutes, with a standard deviation of 2 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 average time for the two routes.
b) Will the company save time by always driving one of the routes? Explain.