Question: To compare the braking distances for two types of automobiles, a safety engineer for the American Automobile Testing Corporation (ATAC) conducts 13 braking tests on Kia Motors and Daewoo Motors cars. The driving speed for each car was 55 mph. The results of the tests are as follows: Kia Motors cars stopped at average of 72 feet with a standard deviation of 9.7 feet. Daewoo Motors cars stopped at an average of 66 feet with a standard deviation of 10.3 feet. At a twenty percent significance level, can the safety engineer of ATAC support the claim that the mean braking distance for Daewoo Motors cars is superior to that of Kia Motors? Assume that the population standard deviation is unknown.