What's the central limit theorem allow you to do?
I’m interested in what the counterintuitive result of the central limit theorem says, which is: when you randomly sample from a distribution (even if the distribution is non-normal) the means will be normally distributed. Does that enable you to use other statistical tools? Basically I’m asking what that result means for applications if your distribution is non-normal.
This question is in the General Section. Responses must be helpful and on-topic.