The president of the student council wants to survey the student population. She decides to take a random sample of 100 students. She puts every student’s name on a rectangular slip of paper, each with the same length and width. Then she places the slips of paper into a hat and, without looking, selects 100 slips of paper. Is this a simple random sample?
Answer
A
Yes, because the slips of paper were all the same shape and size.
B
No, because she did not look into the hat while she was selecting the sample.
C
Yes, because she did not look into the hat while she was selecting the sample.
D
No, because she did not mix the pieces of paper in the hat before selecting the sample.
Explanation
A simple random sample requires every group of 100 students to have an equal chance of being selected. The slips being the same size does not ensure that, and the question does not say she mixed them before drawing. Without mixing, slips in certain positions could be more likely to be chosen, so the sample is not guaranteed to be simple random.
AI-written and checked against the verified answer.