Consider the following data set:

0.64 0.29 −0.38 0.49 0.81 −0.83 10.04 0.79 0.16 0.20 −0.78 0.19 0.54 1.53 0.55 2.26 1.77 0.34 0.35 0.35 0.57 −0.94 0.55 0.31 0.67 0.43 0.54 3.39 0.84 −2.32 0.48 −1.03

−1.17 −2.15 −0.27 0.34 0.81 −2.62 0.36 −0.55

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 reciprocal of each value in the data set. Show that the reciprocals appear to come from an approximately normal distribution.