Confidence intervals can be applied to point estimates, estimates of means, and estimates of other things, including higher order moments. The difference is hu

Confidence intervals can be applied to point estimates, estimates of means, and estimates of other things, including higher order moments. The difference is hugely important, the central limit theorem and the implication of a normal distribution commonly applies to sample means. You can calculate confidence intervals for most (not all) other statistics, like point estimates, but the distributions might not be normal.