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Suppose $100$ volunteers were selected for a study over a $6$-month period.

Of these, $50$ randomly chosen subjects were given a weight loss drug. These $50\text{ subjects}$ had an average weight loss of $11.6\text{ lbs}$ with a standard deviation of $4.2\text{ pounds}$. The remaining $50\text{ subjects}$ lost an average of $12.2\text{ lbs}$ with a standard deviation of $4.1\text{ lbs}$ on a placebo.

What could one conclude about the weight loss drugs’ effectiveness?

A

The weight loss drug is most likely effective; subjects lost a significant amount of weight, which is unlikely to happen by chance.

B

Most likely other factors lead to weight loss in this situation; there is not convincing evidence the weight loss drug is effective.

C

There is inconclusive evidence concerning the drugs’ effectiveness due to the small sample size.

D

There is inconclusive evidence concerning the drugs’ effectiveness since the subjects were volunteers.

E

The weight loss drug is most likely effective; losing $11.6\text{ pounds}$ is both a practically and statistically significant amount.

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