Marathon start-up years When we considered the Boston Marathon in Exercise 37, we were

Chapter 24, Problem 38

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Marathon start-up years When we considered the Boston Marathon in Exercise 37, we were unable to check the Nearly Normal Condition. Heres a histogram of the differences: Those three large differences are the first three years of wheelchair competition: 1977, 1978, and 1979. Often the start-up years of new events are different; later on, more athletes train and compete. If we omit those three years, the summary statistics change as follows: Summary of wheelchrF - runM N = 31 Mean = -12.794 SD = 18.64 a) Comment on the assumptions and conditions. b) Assuming that these times are representative of such races, construct and interpret a 95% confidence interval for the mean difference in finishing time. c) Would a hypothesis test at a = 0.05 reject the null hypothesis of no difference? What conclusion would you draw?

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