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To simulate the effects of driving under the influence of alcohol, a police officer brought a DUI simulator to a local high school. Students reaction time in an emergency was measured with unimparied vision and also while wearing a pair of special goggles to simulate the effects of alcohol on vision. For a random sample of 9 students, the time (in seconds) required to bring the vehicle to a stop from a speed of 60 mph was recorded. Normal 4.47 4.24 4.58 4.65 4.31 4.80 4.55 5.00 4.79 Impaired 5.77 5.67 5.51 5.32 5.83 5.49 5.23 5.61 5.63 a) Whether the student had unimpaired vision or wore the goggles first was randomly selected. Why is this a good idea? b) Use a 95% confidence interval to test if there is a difference in braking time with imparied vision and normal vision where the differences are computed as "impaired minus normal". Report the confidence interval and your conclusions for the test