5. An experiment was conducted at The Ohio State University to determine the effect of using helium to fill a football (American) on the distance the football could be kicked. Two footballs were prepared: one helium-filled, and the other air-filled (but otherwise identical). On a windless day, each football was kicked a total of 39 times, and the distance traveled (yards) was recorded for each kick. The kicks were conducted in pairs (called Trials) with each pair consisting of one kick of the helium-filled ball and one kick of the air-filled ball. Assume that the order in which the balls were kicked was randomized within each pair (independently of the other pairs). The data can be found at the following web site: http://lib.stat.cmu.edu/DASL/Datafiles/Heliumfootball.html

(a) Create appropriate R data set for this data. Display a summary of it.

(b) Perform an appropriate t-test for whether there is any mean difference in the distance kicked for the two balls. Display a summary of the results. What do you conclude?

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