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# Marijuana Survey Identify the type of sampling (random,

## Problem 9RE Chapter 1.4

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition

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Problem 9RE

Marijuana Survey Identify the type of sampling (random, systematic, convenience, stratified, cluster) used when a sample of the 1500 survey responses is obtained as described. Then determine whether the sampling scheme is likely to result in a sample that is representative of the population of all adults.

a. A complete list of all 241,472,385 adults in the United States is compiled and every 150,000th name is selected until the sample size of 1500 is reached.

b. A complete list of all 241,472,385 adults in the United States is compiled and 1500 adults are randomly selected from that list.

c. The United States is partitioned into regions with 100 adults in each region. Then 15 of those regions are randomly selected, and all 100 people in each of those regions are surveyed.

d. The United States is partitioned into 150 regions with approximately the same number of adults in each region, then 10 people are randomly selected from each of the 150 regions.

e. A survey is mailed to 10,000 randomly selected adults, and the 1500 responses are used.

Step-by-Step Solution:

Step 1 of 5</p>

a. A complete list of all 241,472,385 adults in the United States is compiled and every 150,000th name is selected until the sample size of 1500 is reached.

This is a systematic sample because we start at a specific point and then select a subject at set intervals. This is representative of the population of adults because the entire population is included in the pool of which subjects are selected and we can assume that this sampling method is unbiased.

Step 2 of 5</p>

b. A complete list of all 241,472,385 adults in the United States is compiled and 1500 adults are randomly selected from that list.

The type of sampling used here is Random Sampling. In the survey all the members have the same probability of being included in the sample. So, the used sample is Random Sampling.

Step 3 of 5</p>

c. The United States is partitioned into regions with 100 adults in each region. Then 15 of those regions are randomly selected, and all 100 people in each of those regions are surveyed.

This is a cluster sample because all of the adults are placed into groups called clusters. Then random clusters are selected and all the people in that cluster are sampled. This is also representative of the entire adult population because we are assuming that by sampling random clusters, we will get a fairly representative sampling.

Step 4 of 5

Step 5 of 5

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