Simple Random Sample Answers

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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?

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.
4

Several members of a running club would like to survey the rest of the members to determine which 5K race the club should enter. They decide to sample 10 of the 78 members and have them fill out a survey about their race preference. Which of the following would be a simple random sample?

W
Write each member’s name on an equal-sized slip of paper. Place the slips of paper in a bag and shake. Draw 10 slips of paper and survey the members selected.
W
Write each member’s name on an equal-sized slip of paper. Place the slips of paper in a bag. Draw 10 slips of paper off the top and survey the members selected.
W
Write each member’s name on a scrap of paper. Fold the pieces of paper and place them in a bag. Draw 10 slips of paper off the top and survey the members selected.
W
Write each member’s name on a scrap of paper. Fold the pieces of paper, place them in a bag, and shake the bag. Draw 10 slips of paper and survey the members selected.
8

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?

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.

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