Which of the following yields a simple random sample?
A) 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.
B) The best 15 students, according to the opinion of the instructor, in a class are selected.
C) The names of 50 students in a class are written on 50 different pieces of paper and put in a hat. The first 15 pieces of paper are selected blindly one at a time after shuffling the papers thoroughly and each of the selected pieces is placed back into the hat before the next piece is selected.
D) All students in a class are divided into groups according to the rows in which they are seated. One of the groups is randomly selected.

Question

Quizplus · Accepted Answer

In option C, a simple random sample is obtained by randomly selecting 15 students out of 50 without any bias. Each student has an equal chance of being selected, and the selection is made without any influence from the researcher. Options A, B, and D are not simple random samples because they all involve some form of non-random selection or grouping.

Which of the Following Yields a Simple Random Sample