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 1st 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 groups (in this case, males and females) and then selecting a random sample from each group. Option C describes this method, as it randomly selects samples from each gender group. Option A describes systematic sampling, option B describes purposive sampling, and option D describes simple random sampling. In stratified sampling, the population is divided into subgroups or strata based on certain characteristics and a random sample is drawn from each subgroup. In option C, students are grouped based on their gender, which creates two strata. A random sample of 8 from one stratum and a random sample of 7 from the other stratum are selected, resulting in a stratified sample. Options A, B, and D do not involve dividing the population into subgroups or strata based on characteristics, and therefore do not yield a stratified sample.

Which of the Following Yields a Stratified Sample