On Sep 28, 11:48 am, Cagdas Ozgenc <cagdas.ozg...@gmail.com> wrote: > [...] > Now we are looking at a sample of a sample. This means that no matter > what you do, you will never find the mean of the normal distribution > (Mu) by repeated sampling. It doesn't matter whether you do it with > replacement or without replacement. > > You will end up calculating the mean of the population, which will > be slightly or significantly different from Mu depending on how many > students entered UC Davis in year 2005. This means that our samples > of 100 students will be an unbiased estimate of the population mean > but a biased estimate of Mu.
The population mean is an unbiased estimate of the generator mean. The sample mean is an unbiased estimate of the population mean, and therefore of the generator mean.