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Rolling a fair ten-sided die produces a uniformly distributed set of numbers between 1 and 10 with a mean of 5.5 and a standard deviation of 2.872. Assume that n ten-sided dice are rolled many times and the mean of the n outcomes is computed each time. a. Find the mean and standard deviation of the resulting distribution of sample means for n = 144. The mean of the resulting distribution of sample means is 5.5 (Round to the nearest tenth as needed.) The standard deviation of the distribution of sample means is 0.239 (Round to the nearest thousandth as needed.) b. Find the mean and standard deviation of the resulting distribution of sample means for n = 81. The mean of the resulting distribution of sample means is (Round to the nearest tenth as needed.)