Question: Question 4 [does not require SPSS] Cheryl enjoys competing in amateur triathlons. She wants to improve her swimming and cycling times. To improve her race

Question 4 [does not require SPSS]

Cheryl enjoys competing in amateur triathlons. She wants to improve her swimming and cycling times. To improve her race times Cheryl enters a swimming event and a bike event. In the swimming event, Cheryl takes 59 minutes to complete the 3.9km course. In the bike race Cheryl takes 289 minutes to complete 180km. Overall completion times for participants in swimming event are normally distributed with a mean of m = 70 minutes and a standard deviation s = 6 minutes. Completion times for participants in the bike event are normally distributed with a mean m = 300 minutes and a standard deviation

s = 9 minutes. In which competition was Cheryl's performance better, relative to others who took part in that competition? Justify your answer, quoting relevant statistics as part of your explanation.

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