A shuttle service company offers its service to transport people from the Raleigh-Durham airport to the North Carolina State campus in downtown Raleigh. The president of the company is considering two routes. One is via U. S. 540 and the other is via a newly built thoroughfare. The president wants to conduct a study of both routes and then compare the results. He randomly sampled 7 cars that traveled U. S. 540 and found that the standard deviation of travel time was 12 minutes. A random sample of 6 cars that traveled the newly built road yielded a standard deviation in travel time of 7 minutes. At the .10 level of significance, can he prove that there is a significant difference in the variation in time spent to travel the two routes? If there is a difference, be specific as to which route has the larger variation.

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