t-test of the Football Data

In this activity, you will be performing a t-test on the football data set to determine whether there is a significant difference between the kicking distances of a football filled with helium and one filled with regular air. The data was collected by a researcher at Ohio State University. Each football was kicked 39 times on a windless day and the two footballs were alternated with each kick. The experimenter recorded the distance traveled by each ball. Using either Excel or the TI-83 graphing calculator, perform a t-test to determine whether there is a significant difference between the distances the two balls were kicked.

This data exists in three files; one is in Excel Data format, one is in Text format, and one is in TI-83 Group format. If you want to perform the t-test using the TI-83, you will have to import the data into the calculator from the computer after you have downloaded the file.

Is there a significant difference in the mean distances traveled by the air-filled and helium-filled footballs? What is the mean distance traveled by the air-filled football? the helium filled football? What is the t statistic? What is the critical t value? What is the p value?


Original work on this document was done by Central Virginia Governor's School students Stephanie Mayer, Teona Callaham, and Nam Tran (Class of '98).


Copyright © 1997 Central Virginia Governor's School for Science and Technology Lynchburg, VA