Problem: Rolling a fair twelve-sided die produces a uniformly distributed set of numbers between 1 and 12 with a mean of 6.5 and a standard deviation of 3.452.  Suppose that a sample of n twelve-sided dice are rolled many times and the mean of the outcomes is computed for each roll of n dice. 

Find the mean and standard deviation of the resulting distribution of sample means for

n = 36 and for n = 100.

The mean and standard deviation (SD) of the resulting distribution

For , approximately mean=   A. 3.5      B. 6.5     C. 9.5     D. 10.5

For , approximately mean= A. 3.5      B. 6.5     C. 9.5     D. 10.5

For , standard deviation=   A. 0.255      B. 0.355     C. 0.575     D. 0.675

For , standard deviation=   A. 0.255      B. 0.355     C. 0.575     D. 0.675