A randomized study compared two drugs that are designed fo lower a person's serotonin level. It was found that over a 1-year period, those receiving Drug A decreased their serotonin level by a mean of 36 nanograms per millimeter. Those receiving Drug B decreased their serotonin level by a mean of 20 nanograms per millimeter. To determine whether the results are significant, the data are randomized and the difference of the means is shown in the dot plot. What is the best conclusion to make based on the data?

A. The difference of the means is significant because the rerandomizations show that it is outside the range of what likely happens by chance.

B. The difference of the means is not significant because the rerandomizations show that it is outside the range of what likely happens by chance.

C. The difference of the means is not significant because the rerandomizations show that it is within the range of what likely happens by chance.

D. The difference of the means is significant because the rerandomizations show that it is within the range of what likely happens by chance.

The best conclusion to make based on the data is: The difference of the means is significant because the re-randomizations show that it is outside the range of what could happen by chance.

Difference of means

Given:

Drug A= Decrease serotonin level by means of 36 nanograms per millimeter

Drug B= Decrease serotonin level by means of 20 nanograms per millimeter

Hence,

When we take a look at the difference of means data that was given, we would see that the different of means is significant between the means of Drug A and Drug B due to chance or random variation.

Based on the fact that the re-randomizations indicate that it is outside the range of what could happen by chance.

Therefore the correct option is A.

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