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. i. 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? 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? Calculate the cutoff time for the fastest 5% of athletes in the men's group ii. i
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. i. 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? 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? Calculate the cutoff time for the fastest 5% of athletes in the men's group ii. i
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Transcribed Image Text: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.
i.
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?
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?
Calculate the cutoff time for the fastest 5% of athletes in the men's group.
Calculate the cutoff time for the slowest 10% of athletes in the women's
ii.
ii.
iv.
group.
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