One of many descriptions of the CLT follow: "The Central Limit Theorem (*CLT* for short) basically says that for (*even*) non-normal data, the distribution of the *sample means* has an approximate normal distribution, no matter what the distribution of the original data looks like, as long as the sample size is large enough (usually at least 30) and all *samples* have the same size" How can I relate this definition to Confidence Intervals? P.S. I added the word 'even.'