Compute the mean and standard deviation for the following sample of n = 4 scores: 82, 88, 82, and 86.  Hint: To simplify the arithmetic, you can subtract 80 points from each score to obtain a new sample consisting of 2, 8, 2, and 6.  Then, compute the mean and standard deviation for the new sample.  Use the values you obtain to find the mean and standard deviation for the original sample. Show your work.