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A pharmaceutical company is testing a new drug to increase memorization ability. It takes a sample of individuals and splits them randomly into two groups.

A pharmaceutical company is testing a new drug to increase memorization ability. It takes a sample of individuals and splits them randomly into two groups. After the drug regimen is completed, all members of the study are given a test for memorization ability with higher scores representing a better ability to memorize. Those 29 participants on the drug had an average test score of 29.796 (SD = 3.094), while those 24 participants not on the drug had an average score of 31.625 (SD = 6.076). You use this information to create a 99% confidence interval for the difference in average test score of (-5.286, 1.628). Which of the following is the best interpretation of this interval?

1)

We are 99% confident that the difference between the average test score of all people who would take drug and all people not taking the drug is between -5.286 and 1.628.

2)

We are 99% sure that the average difference in test score of all people who would take the drug and people not on the drug in the state the study was completed in is between -5.286 and 1.628.

3)

We do not know the population means so we do not have enough information to make an interpretation.

4)

We are certain that the difference between the average test score of all people who would take drug and all people not taking the drug is between -5.286 and 1.628.

5)

We are 99% confident that the difference between the average test score of people who would take drug in the study and people not on the drug in the study is between -5.286 and 1.628.

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