For their class project, a group of Statistics students decide to survey the student body to assess opinions about the proposed new student center. Their sample of 200 contained 50 first-year students, 50 sophomores, 50 juniors, and 50 seniors. a) Do you think the group was using an SRS? Why? b) What sampling design do you think they used?

Question

Mathematics

Grayson Yu

7 February, 14:44

For their class project, a group of Statistics students decide to survey the student body to assess opinions about the proposed new student center. Their sample of 200 contained 50 first-year students, 50 sophomores, 50 juniors, and 50 seniors. a) Do you think the group was using an SRS? Why? b) What sampling design do you think they used?

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Answers (1)

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Kenley Buck · Answer 1

a. No

b. Stratified Random Sampling was used

Step-by-step explanation:

a. No, I don't think the group was using a simple random sampling SRS, because statistician students takes a survey of 200 samples and the sample was distributed into different categories, which is unlikely to happen in simple random sampling.

b. I think stratified random sampling was used because this type of sampling requires the population strata to be made.

In the question, the population is 200 and it is distributed into 4 strata which are : 50 first-year students, 50 sophomores, 50 juniors, and 50 seniors.

Thus, the stratified random sampling was used