(Solved): A trucking company would like to compore two diflerent routes for effelency. Truckors are randomly ...

A trucking company would like to compore two diflerent routes for effelency. Truckors are randomly assigned to two ditlerent roules. Twenty tuckers folowing Route A report an avernge of 43 minutes, wth a standard deviation of 2 minules. Twenty truckers following Roste B repoct as averege of 45 minules, with a standard deviation of 3 minutes. Histograms of travel times for the routes are roughly symmetric and show no outlien. a) Find a \( 95 \% \) confidence interval for the difference in the commuting time tor the two toutes. b) Wil the company save time by akins driving one of the routes? Explain. (Rovend to twe decimal places as needed.)