Determine whether each situation would produce a random sample. Write yes or no and explain your answer. surveying college students in the honors program to determine the average time students at the college study each day
No, this is not a random sample
Reason: Because the students study hour may vary more or less compared between the honors and the average student.
I would say there are two main questions that we need to ask about any study or survey to be able to determine if it will produce a random sample. Those would be How are we picking people for this study survey? And then after we figured out how we're picking people, the question is, what is this study or survey supposed to represent? So, for example, on this question, it says that we're serving college students in the honors program. Okay, so the way we're picking people for the survey is we're picking college students, but specifically in the honors program. Change that to, and we'll act like I know how to spell says we're serving them to determine the average time students at the college study each day. Okay, so then, to the question of who or what is this study is supposed to represent, it's supposed to represent the average time that students study ecology today. So then the question I need to ask ourselves is if the study is supposed to represent the average time students study a college each day. If we're picking from college students in the honors program, does that group represent or does that group give? Everyone at the college and equal chance of being picked writes. If the study is supposed to represent how much time students study a college than every student at the college needs toe haven't equal chance to get picked in order for this to be a random sample? Because that's literally what the definition of a random sample is. Is everyone in the group has to have an equal chance of being picked. Well, if we are Onley picking from students in the honors program, you have to assume that not every single student at the college is in the honors program. If every student was in that program, it really wouldn't be an honors program. It just be college, right? The point of it honors program is that there's only certain students in there. So if we only pick from the honors program, then no, this cannot be a random sample because it would only be a random sample because the study is supposed to be talking about the entire college. For to be a random sample, we would have to be able to have an equal chance of picking any student and we our Onley picking from the honors college. And since the honors college is not the entire college that can't work