Question

Identify the sample, and suggest a population from which it was selected. Then classify the sample as simple, stratified, or systematic. Explain your reasoning.

A nostalgia television network wants to conduct a cartoon marathon. To choose the episodes, they mail a questionnaire to people selected at random throughout the country.

Short answer

The sample is people who receive the questionnaire.

The population is all citizens of the country.

The sample is simple random samples.

Step-by-step solution

Step 1. Identify each sample, and suggest a population from which it was selected.

A sample is some portion of a larger group called the population.

Therefore, the sample is people who receive the questionnaire and the population is all citizens of the country.

Step 2. Classify the type of sample.

A simple random sample is a sample that is equally likely to be chosen as any other sample from the population.

A group of people is equally likely to be chosen for mailing a questionnaire. Therefore, the sample is simple random samples.