Questions 3-5: A manufacturer wishes to test the performance of a new braking system vs an old braking system. Among a sample of 6 cars with the new braking system, the average stopping distance is 111.5 with sample standard deviation 5.5. Among a sample of 6 cars with the old braking system, the average stopping distance is 125.3 with sample standard deviation 5.5. Assume normality of the data and assume the population standard deviations are different. Let /1 and /2 be the true mean stopping distances for cars with the new braking system and cars with the old braking system, respectively. Test Ho: #1 - #2 = -10 vs HA: #1 - #2