Question

Random samples with size 5 are drawn from the population containing the values 26, 32, 41, 50, 58, and 63. Find the mean of the mean of the sample means. 

Answer 1

The population contains $6$ numbers. There are $6$ different samples of size $5$. Namely, we decide which number to exclude to receive a sample of $5$. All possible samples and their means are presented in the table:

The mean of these means is: $\frac{48.8+47.6+45.8+44+42.4+41.4}{6}=45$

Thus, the answer is: $45$.