Consider the following data set:

150 82 15 12 27 33 98 33 75 1 30 17 3 66 55 45 7 99 58 32 44 34 2 33 17 13 10 25 0 90 66 43 42 18 93 38 20 113 35 23

a. Construct a normal probability plot for these data.

Do the data appear to come from an approximately normal distribution?

b. Transform the data by taking the square root of each value in the data set. Show that the square roots appear to come from an approximately normal distribution.