Use the accompanying data table to (a) draw a normal probability plot, (b) determine the linear correlation between the observed values and the expected z-scores, (c) determine the critical value in the table of critical values of the correlation coefficient to assess the normality of the data.

Index, i Observed Value f_i Expected z-score 1 38 0.08 -1.41 2 43 0.20 -0.84 3 48 0.32 -0.47 4 50 0.44 -0.15 5 56 0.56 0.15 6 57 0.68 0.47 7 62 0.80 0.84 8 64 0.92 1.41

Sample Size, n Critical Value 5 0.880 6 0.888 7 0.898 8 0.906 9 0.912 10 0.918 11 0.923 12 0.928 13 0.923 14 0.935 15 0.939 16 0.941 17 0.944 18 0.946 19 0.949 20 0.951 21 0.952 22 0.954 23 0.956 24 0.957 25 0.959 30 0.960