A small math department has 6 faculty members and 30 students. It can send 6 people to a national convention and they would like to send 4 students and 2 faculty members. Of the 30 students, 4 are selected randomly, and then 2 faculty members are randomly selected from the six. This is an example of

(A) simple random sampling.

(B) stratified random sampling.

(C) voluntary response sampling.

(D) a census.

Question

Israel Morrison

Mathematics

6 September, 19:59

A small math department has 6 faculty members and 30 students. It can send 6 people to a national convention and they would like to send 4 students and 2 faculty members. Of the 30 students, 4 are selected randomly, and then 2 faculty members are randomly selected from the six. This is an example of

(A) simple random sampling.

(B) stratified random sampling.

(C) voluntary response sampling.

(D) a census.

+5

Answers (1)

Know the Answer?

Noe Golden · Answer 1

Answer: (B) stratified random sampling.

Step-by-step explanation:

A stratified random sampling technique is a sampling technique in which the researcher includes the participants from each group. He divides the entire population into groups and then he randomly selects participant from that groups of known as strata.

Here, Math department can send 6 people to a national convention and they would like to send 4 students out of 30 and 2 faculty members out of 6.

The department is considering both groups or strata of Students and faculty members as well.

And they selected 4 students randomly out of 30, and then 2 faculty members are randomly selected from the six.

Therefore, This is an example of stratified random sampling.

Hence, the correct option is (B) stratified random sampling.