Sampling without replacement
Use the simulation to show that the ordinary formula for the standard deviation of the mean is an overestimate when sampling without replacement. The formula that should be used is:
Take several samples with a small sampling fraction (e.g. n = 2 and N = 16). Clicking Finite population correction to show the effect of the correction factor makes little difference to the theoretical distribution.
Increase the sampling fraction (e.g. n = 14 and N = 16) then take more samples. When Finite population correction is not checked, the 'theoretical distribution' overestimates the spread of the simulated means.