@somyyah,
First you determine how you are going to measure quality of life. For example you are going to use a survey and generate a score from 1 to 100. Next, you need a reference set of people to compare to. Once you score them, you can see what a typical distribution looks like. If everyone scores a 50, you need a small sample size to see a difference. If the scores range from 20 to 80, you will need a big sample size. Once you see that, you need to determine what you want your margin of error to be. If you want a margin of error of one point, you will need more samples than if you want a margin of error of five points.