Which of the following yields a simple random 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)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 without
Replacing them back in the hat after shuffling the papers thoroughly.
D)All students in a class are divided into groups according to the rows that they are seated.One of the groups is randomly selected.

Question

Quizplus · Accepted Answer

In option C, each student has an equal chance of being selected, as their names are on separate pieces of paper and the selection is blind, without replacement. This is the definition of a simple random sample. Options A, B, and D do not meet the definition of a simple random sample. In option C, every student has an equal chance of being selected and the selection process is random. This is the definition of a simple random sample. Option A is systematic sampling, option B is subjective sampling, and option D is cluster sampling.

Which of the Following Yields a Simple Random Sample