A small math department has six faculty members and 30 students. The department can send six people to a national convention, and it would like to send four students and two faculty members. Of the 30 students, four are selected randomly. Two 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

Quizplus · Accepted Answer

This is an example of stratified random sampling because the population (math department) has been divided into two strata (students and faculty), and the sample includes a specific number from each stratum (4 students and 2 faculty members). The selection is random within each stratum.

A Small Math Department Has Six Faculty Members and 30