Question

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A randomized study compared two drugs that are designed to lower a person's triglyceride level. It was found that over a 1-year period, those receiving Drug A decreased their triglyceride level by a mean of 69. Those receiving Drug B decreased their triglyceride level by a mean of 45.

To determine whether the results are significant, the data are rerandomized 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 within the range of what likely happens by chance.

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

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

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

Answer 1

Answer:

a

Step-by-step explanation:

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

Answer 2

Option (A) difference of the means is significant because the rerandomizations show that it is within the range of what likely happens by chance is the correct option.

What is a dot plot?

"A dot plot is used to represent any data in the form of dots or small circles. It is similar to a simplified histogram or a bar graph as the height of the bar formed with dots represents the numerical value of each variable. Dot plots are used to represent small amounts of data".

For the given situation,

A randomized study shows the comparison of two drugs that are designed to lower a person's triglyceride level.

Drug A decreased their triglyceride level by a mean of 69.

Drug B decreased their triglyceride level by a mean of 45.

Mean difference = $69-45$

⇒ Mean difference = $24$

The data are rerandomized and the difference in the means is shown in the dot plot.

In the dot plot, the difference in the means is rerandomized and is arranged between the range 6 to 22.

Hence we can conclude that option (A) difference of the means is significant because the rerandomizations show that it is within the range of what likely happens by chance is the correct option.

Learn more about the dot plot here

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