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  seconds.

a. Does the interval provide convincing evidence of a difference in the true mean reaction time of athletes and non-athletes? Explain your answer.

b. Does the interval provide convincing evidence that the true mean reaction time of athletes and nonathletes is the same? Explain your answer.

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305 0.200 = 20.0%0.018土0.034 1526