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

1. Calantha
This is an example of stratified random sampling.
The correct option is B.

### What is stratified random sampling?

A population that can be divided into subpopulations can be sampled using stratified sampling. It may be helpful to sample each subpopulation separately in statistical surveys when subpopulations within a larger population vary.

### According to the given information:

• The researcher includes participants from each group when using a stratified random sample technique.
• The entire population is divided into groups, known as strata, from which participants are then chosen at random.
Currently, the math department has a 6-person capacity to send to a national convention, and they would like to send 4 students out of 30 and 2 faculty members out of 6.
The department takes into account both different student and teacher groups or strata.
Additionally, two faculty members were chosen at random from among the six faculty members, out of the 30 students, to make up the last 4 students.
This is an example of stratified random sampling.
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I understand that the question you are looking for is :
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.