Chapter 12.2, Problem 37SR

To determine

To identify: The sample and suggest a population for which it is selected. State whether the sample is biased or unbiased, if unbiased, classify the sample as simple, stratified, or systematic.

Answer to Problem 37SR

The sample is unbiased and simple random sample.

Explanation of Solution

Given information:

Twenty names were drawn from a container containing identical pieces of paper with the names of every member of the senior class. These seniors were then asked who they would choose for senior class president.

Calculation:

Here, sample will be 5 freshmen’s name and population will be all freshmen’s names.

Since, the freshmen are equally likely to be chosen. Therefore, the sample is unbiased.

Also, since the 5 freshmen are equally likely to be chosen randomly so, it is simple random sample.

Hence,

The sample is unbiased and simple random sample.