Statistics Homework Solutions
Problem
#8372

Statistic problem: Hypothesis Testing of running shoes

Directions: Test the following hypotheses using the Traditional Method.  You must show all the steps involved and the final statement must be phrased appropriately for the problem.

A sports-shoe manufacturer claims that joggers who wear its brand of shoe will jog faster than those who don't.  A sample of eight joggers is taken, and they agree to test the claim on a 1-mile track.  The rates (in minutes) of the joggers while wearing the manufacturer's shoe and while wearing any other brand of shoe are shown here.  Test the claim at a 2.5% level of significance.
Runner         1     2     3      4      5     6      7      8
Mfg brand       8.2  6.3   9.2   8.6   6.8   8.7   8.0    6.9
Other brand    7.1  6.8   9.8   8.0   5.8   8.0   7.4    8.0


Solution Summary

This solution looks at a hypothesis test of running shoes with 2.5% significance level.

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