Rolling a fair twelve-sided die produces a uniformly distributed set of numbers between 1 and 12with a mean of 6.5 and a standard Deviation of 3.452. Assume n twelve-sided dice are rolled many times and the mean of the n outcomes is computed each time.

a. Find the mean and standard distribution of sample means for n=36.

The mean of the resulting distribution of sample means is _______. Round to the nearest tenth as needed