Please see attached image 10:07 PM Mon Feb 8O 37%A wamap.orgIn triathlons, it is common for racers to be placed into age and gender groups. Friends Leo and Mary bothcompleted the Hermosa Beach Triathlon, where Leo competed in the Men, Ages 30 - 34 group while Marycompeted in the Women, Ages 25 - 29 group. Leo completed the race in 1:22:28 (4948 seconds), while Marycompleted the race in 1:31:53 (5513 seconds). Obviously Leo finished faster, but they are curious about howthey did within their respective groups. Can you help them? Here is some information on the performance oftheir groups:The finishing times of the Men, Ages 30 - 34 group has a mean of 4313 seconds with a standard deviation of583 seconds.• The finishing times of the Women, Ages 25 - 29 group has a mean of 5261 seconds with a standard deviationof 807 seconds.• The distributions of finishing times for both groups are approximately Normal.Remember: a better performance corresponds to a faster finish.a) What is the Z score for Leo's finishing time?(Round to the nearest hundredth.)b) What is the Z score for Mary's finishing time?(Round to the nearest hundredth.)c) Did Leo or Mary rank better in their respective groups? | Select an answerExplain your reasoning.d) What percent of the triathletes did Leo finish faster than in his group?% (Round to the nearesttenth of a percent.)e) What percent of the triathletes did Mary finish faster than in her group?% (Round to the nearesttenth of a percent.)f) If the distributions of finishing times are not nearly normal, would your answers to parts (d) and (e) change?Explain your reasoning.Submit Question

Name: Please see attached image 10:07 PM Mon Feb 8O 37%A wamap.orgIn triathl
Uploaded: 2024-03-20T07:07:37.000Z
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Description: Please see attached image 10:07 PM Mon Feb 8O 37%A wamap.orgIn triathlons, it is common for racers to be placed into age and gender groups. Friends Leo and Mary bothcompleted the Hermosa Beach Triathlon, where Leo competed in the Men, Ages 30 - 34 gr