In triathlons, it is common for racers to be placed into age and gender groups. The finishing
Question:
In triathlons, it is common for racers to be placed into age and gender groups. The finishing times of men ages 30-34 has mean of 4,313 seconds with a standard deviation of 583 seconds. The finishing times of the women ages 25-29 has a mean of 5,261 seconds with a standard deviation of 807 seconds. The distribution of finishing times for both groups is approximately normal. Note that a better performance corresponds to a faster finish.
(a) If a man of the 30-34 age group finishes the race in 4,948 seconds, what percent of the triathletes in the group did he finish faster than?
(b) If a woman of the 25-29 age group finishes the race in 5,513 seconds, what percent of the triathletes in the group did she finish faster than?
(c) Calculate the cutoff time for the fastest \(5 \%\) of athletes in the men's group.
(d) Calculate the cutoff time for the slowest \(10 \%\) of athletes in the women's group.
Step by Step Answer:
Introductory Statistics For The Life And Biomedical Sciences
ISBN: 9781943450121
1st Edition
Authors: Julie Vu, David Harrington