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.

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