The principal of a small elementary school wants to select a simple random sample of 24 students.
The school has 12 classrooms with 18 students in each class. She decides to randomly select two
Students from each classroom. Is this a simple random sample?
A) No, because not all combinations of 24 students could have been chosen.
B) Yes, because each student had an equal chance to be selected.
C) No, because each student did not have an equal chance of being selected.
D) Yes, because a stratified sample is a type of simple random sample.
E) Yes, because the students were selected at random.

Question

Quizplus · Accepted Answer

A simple random sample requires that every possible combination of 24 students has an equal chance of being selected, which is not the case here since the selection is constrained to two students per classroom.

The Principal of a Small Elementary School Wants to Select