How to determine the range of values of the population (with some confidence, e.g. 95%) based on a sample?
I thought about one approach to follow the 68-95-99 rule, based on population mean estimate and population standard deviation estimate calculated from a sample. But those are only estimates, we don't know the real population mean, we have only 95% confidence interval for it. Thus, I am not sure how to correctly apply this rule. Let's assume normal distribution for simplicity (but it would also be interesting to know if there is a simple answer without assuming normality.)
EDIT: based on one of the answers below, I need to clarify that I am not interested in knowing the range that contains 100% of population values (which is infinity, and is not useful), but the one that contains 95% (or 99% etc.) of population values.