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SRS of students? At a party, there are 30 students over age 21 and 20students underage21. 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

Expert verified

The sample is not a SRS

Step by step solution

01

Given information 

We need to find whether the sample is SRS or not

02

Explanation

A sample of size nis used in simple random sampling, and each sample of size nhas an equal probability of being chosen.

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

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