The mean and standard deviation of the population {1, 5, 8, 11, 1} are µ = 8 and s = 4.8, respectively. Let S be the set of the 125 ordered triplets (repeats allowed) of elements of the original population. Which of the following is a correct statement about the mean µx and standard deviation sx of the means of the triplets in S?
(A) µx = 8, sx = 4.8
(B) µx = 8, sx < 4.8
(C) µx = 8, sx > 4.8
(D) µx < 8, sx = 4.8
(E) µx > 8, sx > 4.8
Answer: B