An auto analyst is conducting a satisfaction survey, sampling from a list of 10,000 new car buyers. The list includes 2,500 Ford buyers, 2,500 GM buyers, 2,500 Honda buyers, and 2,500 Toyota buyers. The analyst selects a sample of 400 car buyers, by randomly sampling 100 buyers of each brand. Is this an example of a simple random sample?

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Business

Belen Stewart

7 January, 19:50

An auto analyst is conducting a satisfaction survey, sampling from a list of 10,000 new car buyers. The list includes 2,500 Ford buyers, 2,500 GM buyers, 2,500 Honda buyers, and 2,500 Toyota buyers. The analyst selects a sample of 400 car buyers, by randomly sampling 100 buyers of each brand. Is this an example of a simple random sample?

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Kian Le · Answer 1

No

Explanation:

Simple random sampling gives each member in the entire population an equal opportunity to be included in the sample. The technique removes bias in the selection procedure. It applies where a small number would adequately represent the entire population.

The procedure described in this case is a deviation of simple random sampling. It is stratified random sampling.

In stratified random sampling, the population is first divided into subgroups based on shared characteristics. The researcher uses simple random sampling to select representatives of each group in the sample population. The techniques ensure each group is fairly represented in the research.

Subdividing vehicles by their make is creating strata or subgroups.