Question

Which of the following would be a simple random sample?

1) 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.
2) 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.
3) 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.
4) 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.

Answer 1

The first and fourth options would be considered simple random samples.

Step-by-step explanation:

A simple random sample is a straightforward method for selecting a random sample. In a simple random sample, each member of the population initially has an equal chance of being selected for the sample.

Based on the given options:

1. The first option, where slips of paper are drawn from a bag and 10 slips are surveyed, is a simple random sample because each slip of paper has an equal chance of being selected.
2. The second option, where slips of paper are drawn off the top of a bag, is not a simple random sample because the slips at the top have a higher chance of being selected compared to the slips at the bottom.
3. The third option, where slips of paper are drawn off the top of a bag after being folded, is not a simple random sample because the size of the slips may affect the selection.
4. The fourth option, where slips of paper are drawn from a shaken bag, is a simple random sample because each slip has an equal chance of being selected.

Therefore, the first and fourth options would be considered simple random samples.