Clayton wants to know if the students at his school like to eat school lunches. So, he plans to ask a small sample of them.Pick all the ways of sampling the students that would produce a representative sample.Clayton asks his principal for a list of the students in his school. Then, he randomly picks 30 students to ask.Clayton randomly picks a lunch period. During that period, he asks the first 30 students in the lunch line.Clayton randomly chooses 10 students in each of the 3 lunch periods. Then, he asks those students.Submit
Question
Clayton wants to know if the students at his school like to eat school lunches. So, he plans to ask a small sample of them.Pick all the ways of sampling the students that would produce a representative sample.Clayton asks his principal for a list of the students in his school. Then, he randomly picks 30 students to ask.Clayton randomly picks a lunch period. During that period, he asks the first 30 students in the lunch line.Clayton randomly chooses 10 students in each of the 3 lunch periods. Then, he asks those students.Submit
Solution 1
The first and third methods would produce a representative sample.
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Clayton asks his principal for a list of the students in his school. Then, he randomly picks 30 students to ask. This method is representative because it includes students from all grades and all lunch periods. It doesn't matter what time they eat lunch or where they are in the lunch line.
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Clayton randomly chooses 10 students in each of the 3 lunch periods. Then, he asks those students. This method is also representative because it includes students from all lunch periods. It doesn't matter where they are in the lunch line.
The second method, where Clayton randomly picks a lunch period and then asks the first 30 students in line, would not produce a representative sample. This is because it only includes students from one lunch period and those who are first in line, which might not be representative of all students.
Solution 2
No answer
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