Question

SRS of students? At a party, there are $30$ students over age $21$ and $20$students underage$21$. You choose at random $3$ of those over $21$ and separately choose at random $2$ of those under $21$ to interview about their attitudes toward alcohol. You have given every student at the party the same chance to be interviewed. Is your sample an SRS? Explain your answer.

Short answer

The sample is not a SRS

Step-by-step solution

Given information 

We need to find whether the sample is SRS or not

Explanation

A sample of size $n$is used in simple random sampling, and each sample of size $n$has an equal probability of being chosen.

In this scenario, the sample will include three students over the age of $21$and two students under the age of $21$, with the students being chosen at random from the age groups (over age $21$and under age $21$).

This sample, however, will not be a simple random sample, as some samples will have no probability of being chosen (for example, a sample of exclusive students over the age of $21$), while others will have a possibility of being chosen.