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

This yields a simple random sample as every member of the population has an equal chance of being selected, with selection being completely random. Option A selects only every 15th student after the first random selection, which could potentially bias the sample. Option B relies on the subjective opinion of the instructor, which may not be representative of the population. Option D selects only from one group, which may not be representative of the entire population.

Which of the Following Yields a Simple Random Sample