Question

What are some examples of real life events that follow F-distributions rather than normal distributions? I don't think really get the concept

Answer 1

I will try to give an answer with respect to a real life scenario but the final measurement may not seem so much real to you. The situation is the following:-

Suppose you are a techer and you are conducting a test for two different secrions of the same stream. You want to check whether the standard deviation is same for both the classes. In other words, you want to test:

So, basically the ratio of the sample variances under the null hypothesis are following an F distribution.