An elementary school class ran one mile with a mean of 12 minutes and a standard deviation of three minutes. Rachel, a student in the class, ran one mile in seven minutes. A junior high school class ran one mile with a mean of ten minutes and a standard deviation of two minutes. Kenji, a student in the class, ran 1 mile in 7.5 minutes. A high school class ran one mile with a mean of eight minutes and a standard deviation of four minutes. Nedda, a student in the class, ran one mile in ten minutes.

(a) Why is Kenji considered a better runner than Nedda, even though Nedda ran faster than he? (Round your standard deviations to two decimal places.)

Kenji is considered a better runner than Nedda because Kenji's time for one mile was _____ standard deviations ---Select--- (slower/faster) than the mean of his class and Nedda's time was _____ standard deviations (slower/faster) than her class.

(b) Who is the fastest runner with respect to his or her class? Explain why. (Round your standard deviation to two decimal places.)

(Kenji/Nedda/Rachel) was the fastest runner with respect to his/her class as he/she had a time that was ______standard deviation(s) faster than his/her class.