Researchers are investigating whether people who exercise with a training partner have a greater increase, on average, in targeted exercise intensity compared with people who exercise alone. Two methods of collecting data have been proposed.

Method I: Recruit volunteers who are willing to participate. Randomly assign each participant to exercise with a training partner or to exercise alone.
Method II: Select a random sample of people from all the people who exercise at a community fitness center. Ask each person in the sample whether they use a training partner, and use the response to create the two groups.

Suppose the investigation produces a result that is statistically significant using both methods. What can be concluded if method I is used that cannot be concluded if method II is used? Explain your answer.

Question

04-05-2020
Advanced Placement (AP)

contestada

Researchers are investigating whether people who exercise with a training partner have a greater increase, on average, in targeted exercise intensity compared with people who exercise alone. Two methods of collecting data have been proposed.

Method I: Recruit volunteers who are willing to participate. Randomly assign each participant to exercise with a training partner or to exercise alone.
Method II: Select a random sample of people from all the people who exercise at a community fitness center. Ask each person in the sample whether they use a training partner, and use the response to create the two groups.

Suppose the investigation produces a result that is statistically significant using both methods. What can be concluded if method I is used that cannot be concluded if method II is used? Explain your answer.

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holesstanham holesstanham · Answer 1 · 2020-05-09T05:08:23+02:00

The conclusion that you will be able to reach if method I is used that cannot be concluded if method II is used is that the results can be generalized to the population as a whole.

In method I, the researchers decided to recruit volunteers. This sample includes people who do not exercise, people who exercise alone and people who exercise with a partner. On the other hand, method II will recruit participants at a community fitness center. Therefore, this sample will not include people who do not exercise. This means that method I will have a sample that is more representative of the general population.

fichoh fichoh · Answer 2 · 2021-11-15T06:38:27+01:00

The difference between the two experiments described is in the mode of assignment of the participants to either of the two groups. Hence, the use of random assignment in method 1 will allow for a more generalized conclusion to be inferred as it would perform better on highly variable samples compared to method 2.

The result of method 2 would work better at making inferences when the type of training regime which the person undertakes is known while method 1 will be more preferred for making inferences about samples without a known or established training regime.

Therefore, it can be concluded that method 1 would perform better on diverse or highly variable samples than method 1 would.

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