Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 1 - Section 1.4 - Assess Your Understanding - Applying the Concepts - Page 37: 29

Answer

The cluster sampling method.

Work Step by Step

Using the cluster sampling method: Let N be the size of the population: N = 1280. There are 32 sections similar in class size and makeup. So, there are about $\frac{1280}{32}=40$ students per class. Let n be the sample size: $n=0.10\times1280=128$. But, $\frac{128}{40}=3.2$. So, it is better to randomly select 4 classes (clusters). This way, we can save time: the students may answer the survey during the algebra class. Using simple random sampling: we would have to randomly select about 128 students (about 4 per class). It is a more difficult task, although it is not more expensive. Remenber that cost includes the time required to obtain the sample.
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