To illustrate the effects of driving under the influence of alcohol, a police officer brought a DUI simulator to a local high school. Student reaction time in an emergency was measured with unimpaired vision and also while wearing a pair of goggles to simulate the effects of alcohol on vision. For a random sample of nine teenagers, the time (in seconds) required to bring the vehicle to a stop of 60 miles per hour was recorded. Complete parts (a) and (b).Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Data table:Subj. 1 2 3 4 5 6 7 8 9Normal 4.49 4.24 4.58 4.56 4.31 4.80 4.59 5.00 4.79XiImpaired 5.86 5.85 5.45 5.32 5.90 5.49 5.23 5.63 5.63XiA. (pick one below)a. This is a good idea in designing the experiment because the sample size is not large enough. b. This is a good idea in designing the experiment because reaction times are different. c. This is a good idea in designing the experiment because it controls for any "learning" that may occur in using the simulator. B. Use 95% confidence interval to test if there is a difference in braking time with impaired vision and normal vision where the differences are computed as "impaired minus normal."The 95% confidence interval is (_, _). (Round to the nearest thousandth as needed.)State the appropriate conclusion. Choose the correct answer below. a. There is sufficient evidence to conclude there is a difference in braking time with impaired vision and normal vision. b. There is insufficient evidence to conclude there is a difference in braking time with impaired vision and normal vision.