Question

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?

Yes, because the slips of paper were all the same shape and size.

O No, because she did not look into the hat while she was selecting the sample.

O Yes, because she did not look into the hat while she was selecting the sample.

O No, because she did not mix the pieces of paper in the hat before selecting the sample.

Answer 1

Using sampling concepts, it is found that the correct option regarding if this is a random sample is given by:

Yes, because the slips of paper were all the same shape and size.

How are samples classified?

Samples may be classified as:

• Convenient: Drawn from a conveniently available pool.
• Random: All the options into a hat and drawn some of them.
• Systematic: Every kth element is taken.
• Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
• Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.

In this problem, since the slips have the same shape and size, each name has an equal probability of being chosen, hence it is a random sample and the correct option is:

Yes, because the slips of paper were all the same shape and size.

More can be learned about sampling concepts at https://brainly.com/question/25122507