Question

SRS of engineers? A corporation employs $2000$ male and $500$ female engineers. A stratified random sample of $200$ male and $50$ female engineers gives every individual in the population the same chance to be chosen for the sample. Is it an SRS? Explain your answer.

Short answer

It is not an SRS as some samples have no chance of being selected.

Step-by-step solution

Given information

We need o find whether the given data 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 example, the sample will include $200$male engineers and $50$female engineers chosen randomly.

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 $250$guys), while others will have a possibility of being chosen.