A sampling distribution describes the data chosen for a sample from among a larger population.

Central Limit Theorem: A sampling distribution of the mean is approximately normally distributed if the sample size is sufficiently large. This is true no matter what the population distribution is.

Sample distribution parameters are marked with a subscript of the associated sample variable (for example, μX̅ and σX̅ are the mean and s.d. of the sample means of all samples).

It is shown that exact distribution-free confidence intervals for a population median can be obtained from a stratified sample under very special circumstances. The principal result concerns the order ...

The calculator includes instructions for use. Author: David M. Lane. Sample means from a normally distributed population: Sampling from a Normally Distributed Population This wonderfully animated ...