Question

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?

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

O 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.

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

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

Answer 1

Using sampling concepts, it is found that a cluster sampling is given by:

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.

How are samples classified?

Samples may be classified as:

• Convenient: Drawn from a conveniently available pool.

• Random: All the options into a hat and drawn some of them.

• Systematic: Every kth element is taken.

• Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

• Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.

Cluster sampling would be dividing the students by row, and surveying each student in a row, hence the correct option is:

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.

More can be learned about sampling concepts at https://brainly.com/question/25122507