The cutoff time for the fastest 5% of athletes in the men’s group, i.e., those who took the shortest 5% of time to finish. (You may use Stata command to find the corresponding z-score.)

(a) Determine the z-score for the cutoff time.
(b) Identify the percentage of athletes who took longer than the cutoff time.
(c) Calculate the average time for the fastest 5% of athletes.
(d) Interpret the z-score in the context of the athletes' performance.