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Question 8 • Probability and Statistics with Applications Honors Sem-1-FL-1210300 (2024-2025)

A teacher has 36 students who are sitting in 6 rows of 6 desks. He wants to survey the students about the homework policy. Which of the following uses cluster sampling?

Answer

Randomly assign the students to desks, and number the students 01–36. Use a random number table to generate a sample of students.

Randomly assign the students to desks. Number the rows 1 to 6. Use a random number table to select a number from 1 to 6, then survey every student in that row.

List all of the students alphabetically. Survey the 2nd person (with the number 2 being randomly chosen), then survey every 5th student after that.

List all of the students alphabetically. Survey 1 randomly chosen student whose last name begins with A, then continue the process through the alphabet.

Explanation

In cluster sampling, the population is divided into groups, or clusters, and a random selection of whole groups is surveyed. In choice B, the rows are the clusters: one row is selected at random, and every student in that row is surveyed. Choice A selects individual students randomly, while choice C uses a systematic sample.

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