For the following sample of n = 4 scores: 82, 88, 82, and 86:
a. Simplify the arithmetic by first subtracting 80 points from each score to obtain a new sample of 2, 8, 2, and 6. Then, compute the mean and standard deviation for the new sample.
b. Using the values you obtained in part a, what are the values for the mean and standard deviation for the original sample?