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Answer:
We can conclude that we have a greater degree of diversity amongst the population in Method I in comparison with Method II
Explanation:
Method I employed the use of stratified random sampling. Stratified random sampling is a sampling method in which the population is partitioned into smaller categories based on common characteristics.
In Method I, participants were randomly selected from amongst those that volunteered and were then chosen either to exercise with a training partner or to exercise alone.
Method II employed the use of simple random sample. Simple random sample is a sampling method in which every individual is randomly selected with each individual having an equal chance or likelihood of being chosen.
In Method II, participants were randomly selected from a fitness center and were then queried to know whether they exercised with a training partner or they exercised alone.
In Method I, since stratified random sampling was used, there is a likelihood (a 50% likelihood) that a participant chosen could have his usual exercising routine changed. For example, a volunteer who usually exercised alone upon being selected at random could have his routine changed to training with a partner or a volunteer who usually exercised with a partner upon being selected at random could have his routine changed to training alone. This change in exercising routine would account for a greater change in targeted exercise intensity for each person who had his routine changed. As such, we have a greater degree of diversity in this method (Method I).
In Method II, because the participants used their usual exercising routine, the change in targeted exercise intensity for every person will not differ much. As such, we have a lesser degree of diversity amongst the population in Method II as compared to Method I.
There is a greater degree of diversity among the population in Method I and Method II.
In Method I, stratified random sampling was used. It means that the sampling method in which the population is divided into small groups or categories based on similar traits.
In this method, the participants were randomly selected from those that volunteered and were chosen whether to exercise with a trainer or exercise alone.
In Method II, a simple random sample method was employed. It involves the sampling method in which every individual is randomly selected and each individual has equal right to choose the type of exercise.
Participants in Method II were randomly selected and then were queried to know whether they need a trainer or exercise alone.
In Method I, stratified random sampling was used to examining the population. There is a 50% chance or likelihood that the participant chose his routine exercise change.
For instance, the volunteer who usually exercises alone might have to train with a trainer.
The change in the exercise routine of an individual would account for a greater change in the targeted exercise intensity for each person.
Therefore, there will be a greater degree of diversity in Method I.
In Method II, the participants following their routine exercise will result in less change and diversification.
Therefore, there will be a lesser degree of diversification among the population in Method II as compared to Method I.
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