Question

In a certain​ marathon, there has been a wheelchair division for the past 15 years. A researcher would like to know who is typically​ faster, the​ men's marathon winner on foot or the​ women's wheelchair marathon winner. The summary statistics for the pairwise differences in finishing time​ (in minutes) are shown below. Complete parts a and b below. Summary of wheelchrFminusrunM Nequals15 Meanequals0.087885 SDequals39.6697 ​a) Assuming that the assumptions and conditions are​ satisfied, construct and interpret a 95​% confidence interval for the mean difference in finishing times. The confidence interval is left parenthesis nothing comma nothing right parenthesis . ​(Round to two decimal places as​ needed.

Answer 1

given data are:-

sample size (n) = 15

= 0.087885

= 39.6697

t critical value for df = (n-1 ) = (15-1) = 14, alpha=0.05, both tailed test be:-

[ using t distribution table]

the 95​% confidence interval for the mean difference in finishing times is:-

interpretation:-

we are 95 %  confident that the true mean difference in finishing times will be within -21.88 and 22.06.

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