3.6 Triathlon times, Part II: The distribution for triathlon time varies depending on the population you are describing. The distribution for men ages 30 - 34 is N(μ-4323, o=562). The distribution for women ages 25 - 29 is N(μ-5227, 0-828). Note, these distributions list the triathlon times in seconds. Use this information to compute each of the following. Report your answer to 2 decimal places. a) 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. b) The cutoff time for the slowest 10% of athletes in the women's group.

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3.6 Triathlon times, Part II: The distribution for triathlon time varies depending on the population you are
describing. The distribution for men ages 30 - 34 is N(µ-4323, o=562). The distribution for women ages 25 -
29 is N(μ-5227, o=828). Note, these distributions list the triathlon times in seconds. Use this information to
compute each of the following. Report your answer to 2 decimal places.
a) 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.
b) The cutoff time for the slowest 10% of athletes in the women's group.
Transcribed Image Text:3.6 Triathlon times, Part II: The distribution for triathlon time varies depending on the population you are describing. The distribution for men ages 30 - 34 is N(µ-4323, o=562). The distribution for women ages 25 - 29 is N(μ-5227, o=828). Note, these distributions list the triathlon times in seconds. Use this information to compute each of the following. Report your answer to 2 decimal places. a) 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. b) The cutoff time for the slowest 10% of athletes in the women's group.
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