Question

9. In a test of running shoes, German sporting goods manufacturer, Derrunningzmitdershoessenhoffer, randomly selected 8 amateur runners to test two of its new shoe designs. The table shows how long the test shoes lasted before they were no longer usable.

	Wear Time in Weeks
Runner	1	2	3	4	5	6	7	8
Design 1	15.6	17.6	10.3	9.4	13.4	13.5	14.7	20.6
Design 2	14.7	16.1	8.0	9.0	15.3	10.2	15.2	18.3

Test the null hypothesis that there is no difference in average life for the two shoes, using a = 5%.

Answer 1

as test statistic is not in rejection region we can not reject null hypothesis

we do not have sufficient evidence at 0.05 level to conclude that there is a difference in average life for the two shoes