c) Estimate, with 90% confidence, the population mean difference in Transition 1 times between a sprint and super sprint. Interpret the result. (Hint: Use the results of a) to construct a condence interval estimate using the tdistribution.) Question 3 Male triathletes who compete in the Individual Sprint Triathlon would like to know how they compare with competitors from other provinces and competitors from other countries. Part A: Western Canada and Atlantic Canada Male triathletes would like to know if their home province's geographical location is associated with faster race times. Here, we will compare Western provinces (British Columbia, Aiberfa, Saskatchewan, Manitoba) and Atlantic provinces (New Brunswick, Nova Scotia, Prince Edward Isiand, Newfoundland and Labrador). Use the 2009, 2013, and 201? Male Individual Sprint Triathlon race times as sample data. i. After collecting sample data for Western Canada's male triathletes, find the sample mean and sample standard deviation for their race times in an Individual Sprint Triathlon. ii. After collecting sample data for Atiantic Canada's male triathletes, nd the sample mean and sample standard deviation for their race times in an Individual Sprint Triathlon. iii. Construct a 90% confidence interval for the difference in race times between Western Canada's male triathletes and Atlantic Canada's male triathletes. (Hint: Use the results of i. and ii. and use the tdistribution. Express the times in the condence interval in the mm:ss format.) Do the results suggest that one region has faster male triathletes than the other? Explain. iv. A triathlon official who has refereed several national competitions says she believes that Western Canada's male triathletes, on average, nish the Individual Sprint Triathlon 4 minutes faster than Atlantic Canada's male triathletes. Using the confidence interval, explain whether or not you believe this claim is true. Part B: National Competition and international Competition The International Triathlon Union (ITU) hosts the toplevel international triathlon competitions. In the 201T ITU Triathlon World Cup, 63 triathletes completed the men's Individual Sprint Triathlon and the mean time was 54 minutes and 55 seconds. i. Consider the 2009, 2013, and 201? Canada Games Individual Sprint Triathlon results as a sample for national competition times. Find the sample mean and sample standard deviation for the time to complete a men's Individual Sprint Triathlon in a national competition