Alright. So Doctor Eastman and his team want to be studying the exercise and sleep habits of high school students in a large metropolitan area. There are 602 high schools within this city. Which of the following sampling techniques would be the most likely to produce a representative sample? So that is going to be a sample that matches the population on general demographics like gender, race, ethnicity, religion, and such.
Let's run through these and see which of them would be best suited for producing a representative sample. Option A reads, putting up flyers in each high school and letting students who are most interested in participating contact the researchers themselves. That is pretty much the perfect way to get yourself a convenient sample, not a representative sample. So A is out. B is selecting students from the 100 high schools closest to Doctor Eastman's lab.
While I'm sure that would be very convenient for him and the students, that would not be the most representative sample potentially. So B is out. C is randomly selecting students from all 602 high schools across the city, and that is basically describing random sampling where every single high school student would have an equal chance of being selected for the study, and that is a really great way to get a nice representative sample. So C is looking like a great choice here. And then D reads networking through high school athletic departments and coaches to inform students about the study.
And that would probably get you a very biased sample of students who tend to be doing a lot of exercise if we're going right through the athletic departments. So that would actually not be a very good sample for this research at all. So our answer here is C. Randomly selecting students from every high school in the city would produce the most representative sample. And there you go.