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Problem 8 Easy Difficulty

Determine whether each situation would produce a random sample. Write yes or no and explain your answer.
pointing with your pencil at a class list with your eyes closed as a way to find a sample of students in your class

Answer

No it would not produce a random sample
Reason: Because when one closed his eyes pointing with a pencil at a class list o find out the sample of student, then there may be a chance that he miss to count anyone in the class

Discussion

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Grace H.

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Alayna H.

McMaster University

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Maria G.

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Kristen K.

University of Michigan - Ann Arbor

Video Transcript

We're being asked on this question to determine if the situation would represent or could produce a random sample guy to be their two main questions that you need to ask yourself to determine if it could be a random sample. How are people being picked for this study? And who or what is the study is supposed to represent? If you think those two things match up with each other than the answer is yes. If you don't think the way someone the way that people are being picked would represent what it's supposed to represent, then it's not a random sample. In this scenario, the way people are being picked looks like you're simply pointing with your pencil at a class list with your eyes closed is what it says. So people are being picked for this study exactly what it says you are pointing with your pencil at a class list with your eyes closed with eyes closed. Second question is, what is this supposed to represent? Looks like this is It says that you're doing this to find a sample of students in your class, so it's supposed to represent a sample of students in your class. No, this is an interesting question. Kind of annoying A bit. I feel like because the catch here is if you look at what we've written down on the surface, that does extend like that should work, right, cause you are working off a class list and it's post represent a sample of the students in your class. So a good place start would be with a list of people in your class. So everyone in your class is on that list, we assume, which means, in theory, they shall have an equal chance of being picked. Unfortunately, the answer to this is actually going to be no. And the reason for that is pretty much just because it doesn't pass the common sense logic test If you think about this in reality, if you have a class list in front of you, you close your eyes and you just put your pencil down somewhere. You're not even necessarily gonna be pointing in a name, right? Like you could end up accidentally just pointing to a blank spot on the paper. You could end up not even pointing at the class list, right? I mean, if you're feeling if you're holding the paper in your hands, and I guess you could make sure you can feel your pencil. But otherwise you. Technically, there is no way to do this with your eyes closed in a way that guarantees you'll actually point at a student's name. And technically, if you're trying to run official probability, survey a regular study here. Every time you point, you would have to take that as a trial, which means if you point somewhere and you don't get a name, you'd have to like, put a blank spot down. So on the surface this looks good, but the answer is no. This would not be a random sample because there's just no way to do this in real life where you can make sure that you're actually pointing at a name. If your eyes were closed, kind of a weird question, but that is what it comes out to

University of Central Missouri
Top Algebra Educators
GH
Grace H.

Numerade Educator

Alayna H.

McMaster University

MG
Maria G.

Numerade Educator

Kristen K.

University of Michigan - Ann Arbor