the dataset at the following website: http://lib.stat.cmu.edu/DASL/Datafiles/Hel

Question

the dataset at the following website:
http://lib.stat.cmu.edu/DASL/Datafiles/Heliumfootball.html
You can copy and paste the data into a data file and then read it in using R command such as: read.table, read.csv 5. An experiment was conducted at The Ohio State University to determine the effect of using helium to ll a footba (American) on the distance the football could be kicked. Two footballs were prepared: one hemfilled, 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/He1 iunfootball . html

Explanation / Answer

Solution : All work performed in excel

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Output : T test for

P value for two tail test is 0.67 or 67%, Thus we fail to reject the null hypothesis.

i.e No difference in the distance kicked for the two balls

Air Helium 25 25 23 16 18 25 16 14 35 23 15 29 26 25 24 26 24 22 28 26 25 12 19 28 27 28 25 31 34 22 26 29 20 23 22 26 33 35 29 24 31 31 27 34 22 39 29 32 28 14 29 28 22 30 31 27 25 33 20 11 27 26 26 32 28 30 32 29 28 30 25 29 31 29 28 30 28

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