Some people believe that talking on a cell phone while driving slows reaction time, increasing the risk of accidents. A study described in a research paper investigated the braking reaction time of people driving in a driving simulator. Drivers followed a pace car in the simulator, and when the pace car's brake lights came on, the drivers were supposed to step on the brake. The time between the pace car brake lights coming on and the driver stepping on the brake was measured. Two samples of 40 drivers participated in the study. The 40 people in one sample used a cell phone while driving. The 40 people in the second sample drank a mixture of orange juice and alcohol in an amount calculated to achieve a blood alcohol level of 0.08% (a value considered legally drunk in most states). Suppose for the cell phone sample, the mean braking reaction time was 778 milliseconds and the standard deviation was 206 milliseconds. Suppose for the alcohol sample, the mean breaking reaction time was 847 milliseconds and the standard deviation was 227 milliseconds. For purposes of this exercise, you can assume that the two samples are representative of the two populations of interest