The CLT states that "if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population, then the distribution of the sample means will be approximately normally distributed."
I have two questions:
- Assuming I want n=30 observations if I make a laboratory experiment, does it make a difference whether I do the same experiment with n=5 6 times each, or whether I conduct one experiment with n=30? I guess this question concerns the relation between number of repitions and n.
- Does the CLT mean that variables observed or measured in the experiment should, when averaged, more or less be equal to the unknown population mean?