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Numerade Educator

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Problem 9 Easy Difficulty

Determine whether each situation would produce a random sample. Write yes or no and explain your answer.
putting the names of all seniors in a hat, then drawing names from the hat to select a sample of seniors

Answer

Yes there is a random sample
Reason: So the name of seniors in a hat is as same as drawing the names of seniors from the hat. Hence all the seniors would have the chance of being selected.

Discussion

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Top Algebra Educators
Catherine R.

Missouri State University

Anna Marie V.

Campbell University

Caleb E.

Baylor University

Michael J.

Idaho State University

Video Transcript

when trying to determine whether we should get a random sample from a situation. I think there's two important questions to ask. How are people being picked for this survey or study? And then what or who is this survey supposed to represent? Okay, so looking at the specific problem, we've been told that we're putting the names of all the seniors in a hat and then drawing names from that. Okay, well, that tells us exactly how people are being picked. All senior names are being put in a hat who cannot spell. Apparently, all seniors and names are being put in a hat to draw from maybe a longer explanation unnecessary. But you guys get the idea right. That's how we're picking our names. And then the important question is, what or who is this survey supposed to represent? Well, we're just be drawing from the head, it says, to select a sample of seniors. So this survey is specifically supposed to give us a sample of seniors. So the question now then, if we're supposed to be getting a sample of seniors, then that means for this to be a random sample because the rules are if you have a random sample than the group that you're trying to pull from. Everyone has to have an equal chance of getting picked. So the question then is if the study is supposed to represent a sample of seniors, does every single senior have an equal chance of getting selected? Because only then would this be random. Well, in this case, yeah, we put the name of every single senior it says putting the names of all seniors. If we put all the seniors names in the hat, then yes, every senior has an equal chance of being selected. So yes, this is a random sample kicks because every senior has an equal chance of getting picked.

University of Central Missouri
Top Algebra Educators
Catherine R.

Missouri State University

Anna Marie V.

Campbell University

Caleb E.

Baylor University

Michael J.

Idaho State University