Question

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.

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.