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. Assume that in twelve-sided dice are rolled many times and the mean of the n outcomes is computed each time

Find the mean and standard Deviation of the resulting distribution of sample means for n = 36

Mean is 6.5.

The standard Deviation of the distribution of sample means is ______. Round to the nearest thousandth as needed