We often see players on the sidelines of a football game inhaling oxygen. Their

Question

We often see players on the sidelines of a football game inhaling oxygen. Their coaches think this will speed their recovery. We might measure recovery from intense exercise as follows: Have a football player run 100 yards three times in quick succession. Then allow three minutes to rest before running 100 yards again. Time the final run. Because players vary greatly in speed, you plan a matched pairs experiment using 25 football players as subjects. Discuss the design of such an experiment to investigate the effect of inhaling oxygen during the final rest period. (Select all that apply.)

We often see players on the sidelines of a football game inhaling oxygen. Their coaches think this will speed their recovery. We might measure recovery from intense exercise as follows: Have a football player run 100 yards three times in quick succession. Then allow three minutes to rest before running 100 yards again. Time the final run. Because players vary greatly in speed, you plan a matched pairs experiment using 25 football players as subjects, Discuss the design of such an experiment to investigate the effect of inhaling oxygen during the final rest period. (Select all that apply.) Each player will be put through the sequence once. Each player will be put through the sequence twice. For each player, randomly determine whether to use oxygen on the first or second trial. For each player, randomly assign players to use oxygen or to not use oxygen. Allow ample time between trials for full recovery, Conduct the trials in succession to avoid time bias.

Explanation / Answer

A matched pair design has the sample data taken from the same individual twice. In this case, each football player will have to go through the system twice.

First they will run 100 yards three times and rest for 3 minutes and finally run 100 yards (without inhaling oxygen) to record their time as sample 1 data.

And the same player will now run 100 yards 3 times and rest for 3 minutes to finally run 100 yards (Inhaling oxygen in 3 minutes break) to record the data as sample 2 matched pair observation.

So now when you summarize the observed data, it would look something like this -

Now, we will take the difference in sample observations to find the mean difference and test the population mean difference based on this sample data.

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So, the correct option would be the second one that is -

Each player will be put through the sequence twice.

Sample 1 (Without inhaling oxygen) Sample 2 (After Inhaling Oxygen) Player 1 Player 2 Player 3 Player 4 Player 5 Player 6 Player 7 Player 8 Player 9 Player 10 Player 11 Player 12 Player 13 Player 14 Player 15 Player 16 Player 17 Player 18 Player 19 Player 20 Player 21 Player 22 Player 23 Player 24 Player 25

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