A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. He writes the numbers 1–10 on equally sized slips of paper and places them in a bag. He shakes the bag and selects 3 slips of paper. Is the sample of 3 questions a simple random sample?
Answer
Y
Yes, because the paper slips were equally sized.
Y
Yes, because the paper slips were equally sized and the bag was shaken.
N
No, because there are only 10 questions.
N
No, because the questions were selected using a bag.
Explanation
A simple random sample gives every group of 3 questions an equal chance of being selected. Equally sized slips make the numbers equally likely to be drawn, and shaking the bag mixes them before the 3 slips are selected. So the sample is random; having only 10 questions or using a bag does not prevent it from being a simple random sample.
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