A researcher wants to test the effect of pollution on running times. She recruit

Question

A researcher wants to test the effect of pollution on running times.
She recruits ten world class distance runners to each run two different 10 kilometer race in Salt Lake, once on a “green level” pollution day, once on a “red level” pollution day, and compares the two times for each runner.
Which procedure should she use to determine the average effect of pollution on world-class runners?
A. Population proportion test
B. Chi-square test
C. Chi-square goodness-of-fit test
D. Matched-pairs t-test
E. Two sample t-test

Explanation / Answer

D. MATCHED PAIRS T TEST.

Why?

Because the same set of runners ran the two races. Thus, you can "match" each data in the green level on one data on red level.

It's sort of a "before and after" experiment.

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