(5513 seconds). Obviously Leo finished faster, but they are curious about how they did within their respective groups. Can you help them? Here is some information on the performance of their groups: ● The finishing times of the Men, Ages 30-34 group has a mean of 4313 seconds with a standard deviation of 583 seconds. ● The finishing times of the Women, Ages, 25-29 groups has a mean of 5261 seconds with a standard deviation of 807 seconds. ●The distribution of finishing times for both groups are approximately
In triathlons, it is common for racers to be placed into age and gender groups. Friends Leo and Mary both completed the Hermosa Beach Triathlon, where Leo competed in the Men, Ages, 30-34 groups while Mary competed in the Women, Ages 25-29 groups. Leo competed the race in 1:22:28 (4948 seconds), while Mary competed the race in 1:31:53 (5513 seconds). Obviously Leo finished faster, but they are curious about how they did within their respective groups. Can you help them? Here is some information on the performance of their groups:
● The finishing times of the Men, Ages 30-34 group has a
● The finishing times of the Women, Ages, 25-29 groups has a mean of 5261 seconds with a standard deviation of 807 seconds.
●The distribution of finishing times for both groups are approximately Normal.
Remember: a better performance corresponding to a faster finish.
B) what are the z-scores for Leo's and Mary's finishing times? What do these z-scores tell you?
E) what percent of the triathletes did Mary finish faster than in her group?
F) if the distributions of finishing times are not nearly normal, would your answers to parts (b)-(e) change? Explain your reasoning.
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