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Chapter 4: Q. 36 (page 240)

To gather information about the validity of a new standardized test for 10th-grade students

in a particular state, a random sample of 15 high schools was selected from the state. The

new test was administered to every 10th-grade student in the selected high schools. What

kind of sample is this?

a. A simple random sample

b. A stratified random sample

c. A cluster sample

d. A systematic random sample

e. A voluntary response sample

Short Answer

Expert verified

The given sample is a cluster sample because cluster sampling separates the population into non-overlapping subgroups (clusters), some of which are then included in the sample.

Step by step solution

01

Given information

We need to identify that the given sample is of which type.

02

Explanation

A total of 15high schools were chosen at random, and the exam was given to every 10th grade student at those schools.

If we regard high schools to be a non-overlapping grouping, we randomly picked subgroups and then included the full subgroup in the sample, implying cluster sampling.

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