Question

Random samples of size 4 are drawn with replacement from a finite population 3,6,9. How many possible samples of size 4 are possible? Find the mean of the sample means

Answer 1

N_samples = Nⁿ = 3⁴ = 81

The mean of all possible sample means equals the population mean, so $\mu=\frac{3+6+9}{3}=6$