Question: (12 points) A researcher wants to know if drinking affects driving performance. Driving is simulated with a video game. Extensive testing has established that the population mean for completing one lap in the game is 30 seconds in the sober state. After consuming four (minces of alcohol, a sample of 20 subjects scores a mean of \(\bar{X}\) = 34 seconds, with a standard deviation of s =1.0 seconds. Test the claim that drinking increases the time it takes to complete one lap, i.e., after drinking, \(\mu >\) 30, Use \(\alpha \) =0.01 and a right-tailed test.