20
QuizMultiple Choice

Cumulative Exam — Cumulative exam

Question 20 • Probability and Statistics with Applications Honors Sem-1-FL-1210300 (2024-2025)

A statistics teacher has 4 periods of introductory statistics. She wants to get students’ opinions on a new homework policy. To get a sample, the teacher groups the students by their class performance (A students, B students, etc.). Then she randomly selects 3 students from each class performance group to survey. Which sampling method was used?

Answer
A
cluster sampling
B
simple random sampling
C
stratified random sampling
D
systematic random sampling

Explanation

The teacher first divides students into groups based on class performance, then randomly selects students from each group. This is stratified random sampling: the performance groups are strata, and some students are sampled from every stratum. Cluster sampling would select whole groups rather than a few students from each group.

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