The dataset Beers.csv compares the reaction time of 20 individuals in a driving obstancles course before and after consuming 2 standard alcohol units. Use a = 0.05. (a) Test the hypothesis that 2 alcoholic beverages makes individuals reaction time worse by greater than 1 second. (b) Comment on the assumptions of your test in a). (c) A car traveling at 40 miles per hour travels about 164 feet before braking on seeing a hazard in the road. Half of that distance is due to reaction time, and the other half due to braking deceleration. Find the probability of detecting an increase in reaction time of 2s for an individual in this dataset. Use the standard deviation of the pairwise difference as your od. (d) Interpret your conclusions in c). Is your sample size big enough to detect such a difference? (e) Provide a 95% confidence interval for the increase in reaction time after two drinks. (f) Perform a hypothesis test to assess the claim that a correlation exists between reaction time before and after two standard drinks.

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