2. Amanufacturer has designed athletic footwear which it hopes willimprove the p

Question

2. Amanufacturer has designed athletic footwear which it hopes willimprove the performance of athletes runningthe 100-meter sprint. It wishes to perform a hypothesis test tocompare the times of athletes at the 100meters wearing these shoes with their times wearing their usualshoes.

A) Pooledt-test, since the standard deviations of the two sets of times arelikely to be the same.

B) Two-samplet-test, since the experiment has two sets oftimes.

E) Not enough information is given todetermine what test would be best.

Explanation / Answer

A) Paired t-test, since there are two sets of measurements onthe same subjects providing a natural linking. Since it is a paired t-test, so we can detectdifferences between the population means differe if the sample dataavailable. C) Either two-sample or paired t-test would be equallyaccurate.

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