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A doctor wishes to compare pain relief effectiveness for aspirin and acetaminophen. The doctor has $600\text{ volunteers}$ for this study.

The doctor randomly selects $200$ of these volunteer subjects receive aspirin, $200$ to receive acetaminophen and the remaining $200$ to receive a placebo pill.

Which of the following statements is correct?


The sample size should be larger for an experiment such as this one.


A placebo, in this case, is not necessary.


A matched pairs design should have been used in this case instead of the process described.


The doctor should have let the subjects choose which group they want to be in so that the subjects feel more comfortable.


This experiment should be conducted in a double-blind manner.

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