Which of the following yields a stratified sample?
A) All students in a class are divided into groups of 15. One student is randomly chosen from the first group, the remaining observations are every 15th student thereafter.
B) The best 15 students, according to the opinion of the instructor, in a class are selected.
C) All students in a class are grouped according to their gender. A random sample of 8 is selected from the males and a separate random sample of 7 is drawn from the females.
D) The first 15 students in a class are selected without replacement.

Question

Quizplus · Accepted Answer

Stratified sampling involves dividing the population into homogeneous subgroups and then taking a random sample from each group. In option C, the population is divided by gender, which creates two homogeneous subgroups. Then, a random sample of 8 is selected from the male subgroup and 7 from the female subgroup, resulting in a stratified sample. Options A, B, and D do not involve dividing the population into homogeneous subgroups, and therefore, they do not yield a stratified sample.

Which of the Following Yields a Stratified Sample