Rolling a fair eight-sided die produces a uniformly distributed set of numbers between 1 and 8 with a mean of 4.5 and a standard deviation of 2.291. Assume that n eight-sided dice are rolled many times and the mean of the n outcomes is computed each time. a. Find the mean and the standard deviation of the resulting distribution of sample means for n=36. The mean of the resulting distribution of the sample means is?