Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. 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. (a) for each method, the researchers will record the change in targeted exercise intensity for each person in the investigation. They will compare the mean change in intensity between those who exercise with a training partner and those who do not. (i) describe the population of generalization if method i is used. Explain your answer. (ii) describe the population of generalization if method ii is used. Explain your answer.



Answer :

The population generalization in this situation is practically random; the only drawback is that only those who want to participate will participate, thus the sample is likely not randomized, and there are more people who routinely exercise than people who do not exercise.

This scenario is less random than the last one since all of the persons in the sample exercise are on a regular basis, and these people may select whether or not to work with a partner. As a result, the sample is skewed.

Method 1 allows us to infer that the results apply to the entire population, but Method 2 does not allow us to do so since the sample is skewed. Recruit volunteers who are eager to help.

Assign each participant at random to work out with a training partner or alone. Choose a random sample of participants from among those who work out at a neighborhood fitness club. Ask each person in the sample if they have a training partner, and divide the sample into two groups based on their response.

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