Question: Boston startup years 2007. When we considered the Boston Marathon in Exercise 15, we were unable to check the Nearly Normal Condition. Here’s 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 \(N=28\)

Mean \(=-12.1780\)

\(SD=19.5116\)

1. Comment on the assumptions and conditions.
2. Assuming that these times are representative of such races, construct and interpret a \(95 \%\) confidence interval for the mean difference in finishing time.
3. Would a hypothesis test at \(\alpha=0.05\) reject the null hypothesis of no difference? What conclusion would you draw?

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