ROSE
Wheelchair marathon 2010 The Boston Marathon has
had a wheelchair division since 1977. Who do you think
is typically faster, the men’s marathon winner on foot
or the women’s wheelchair marathon winner? Because
the conditions differ from year to year, and speeds have
improved over the years, it seems best to treat these as
paired measurements. Here are summary statistics for the
pairwise differences in finishing time (in minutes):
(www.boston.com/sports/marathon/history/champions/)Summary of wheelchrF - runM
N = 34
Mean = -3.57
SD = 35.083
a) Comment on the assumptions and conditions.
b) Assuming that these times are representative of such
races and the differences appeared acceptable forinference, construct and interpret a 95% confidence
interval for the mean difference in finishing times.
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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