Clarence measures the diameter of each tennis ball in a bag with a standard ruler. Unfortunately, he uses the ruler incorrectly so that each of his measurements is 0.2 inch too large. Clarence’s data had a mean of 3.2 inches and a standard deviation of 0.1 inch. (Recall that 1 in. = 2.54 cm.)

a. Find the mean of the corrected measurements in centimeters.

b. Calculate the standard deviation of the corrected measurements in centimeters.