A random sample of 56 departing flights at an airport over a 3-month period had a mean wait of 14.2 minutes between boarding and takeoff, with a standard deviation of 4.53 minutes. At the same airport, a random sample of 81 incoming flights over the same 3-month period had a mean wait of 17.5 minutes between the time that the plane arrived at the gate and the time that the baggage reached the baggage claim area, with a standard deviation of 9.87 minutes. At the 0.05 level of significance, test the claim that at this airport the mean wait for takeoff is less than the mean wait for baggage.