Answer to Question #322661 in Statistics and Probability for Yumyams16

Question

A population consists of 3, 6, 9, 12, 15, and 18. If random samples of

size 3 will be drawn from this population, what will be the mean of the

sampling distribution of the sample means?

Answer 1

The mean of the sampling distribution of the sample means is the mean of the population from which the scores were sampled:

$\mu=\cfrac{3+6+9+12+15+18} {6} =10.5.$