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Suppose a teacher wishes to determine if his students learn better through in-class instruction or computer program.

The teacher has only $10\text{ students}$, so he randomly divides them into two groups of $5$, one group of which learns through in-class instruction while the other group learns via computer program.

Why could the results be better trusted if the experiment were done in a matched pairs fashion?

A

The teacher would have $10\text{ data points}$ to work with instead of $5$.

B

Even if the subjects were randomly divided, such a small sample size makes it very likely that one group could have more intelligent students than the other simply by chance.

C

Students would feel more comfortable doing an experiment such as this with a pair.

D

A matched pairs design in this situation allows the teacher to use a control group.

E

A matched pairs design ensures the correct teaching method would be found in this situation.

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