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A new drug claims to reduce the number of migraines an individual suffers. in a study on the effectiveness of the new drug. 50
subjects were given the new drug and another 50 subjects were given a placebo.
at the end of the 6-month study, the group given the new drug reported an average of 1.3 migraines a week. the group given the
placebo reported an average of 2.5 migraines a week.
the data from the study are rerandomized 10 times. the difference of the means from rerandomization are
1.2, 3.4, 1.8, 1.3, 1.1, 0.9, 2.5, 0.7, 1.1, and 0.9.
what is the most appropriate conclusion about the new drug to draw from this information?

Respuesta :

The new drug appears to reduce the number of migraines since the rerandomized mean differences are close to the mean difference found between the two groups studied. Option D is correct.

What is mean?

The arithmetic mean is a term used to describe the average. It's the ratio of the total number of observations to the sum of the observations.

The data set is;

1.2, 3.4, 1.8, 1.3, 1.1, 0.9, 2.5, 0.7, 1.1, and 0.9.

The group that took the new medication reported having 1.3 migraines on average per week.

The group that received the placebo reported having 2.5 migraines on average per week. The difference in both the case;

⇒2.5-1.3 = 1.2

The sum of the difference of the means from rerandomization is;

⇒1.2+ 3.4 +1.8 +1.3 +11+ 0.9 +2.5 +0.7 +11+0.9

⇒14.9

The average of the data is;

⇒14.9/10

⇒1.49

The average of the data obtained is 1.49 is close to 1.2.

The rerandomized mean differences, therefore, approximate the mean difference between the two groups under study.

As a result, the new drug appears to reduce the number of migraines since the rerandomized mean differences are close to the mean difference found between the two groups studied.

Hence, option D is correct.

To learn more about mean refer:

https://brainly.com/question/23910632

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