Reaction times Catherine and Ana wanted to know if student athletes (students on at least one varsity team) have faster reaction times than non-athletes. They took separate random samples of 33 athletes and 30 non-athletes from their school and tested their reaction time using an online reaction test, which measured the time (in seconds) between when a green light went on and the subject pressed a key on the computer keyboard. A 95% confidence interval for the difference (Non-athlete Athlete) in the mean reaction time was 0.018 ± 0.034 seconds. Does the interval provide convincing evidence of a dif. ference in the true mean reaction time of athletes and non-athletes? Explain your answer. (a) (b) Does the interval provide convincing evidence that the true mean reaction time of athletes and non-athletes is the same? Explain your answer.