TABLE 6.3 Standard Scores and Percentiles for a Normal Distribution z-score Percentile z-score Percentile z-score Percentile z-score Percentile -3.5 0.02 -1.0 15.87 0.0 50.00 1.1 86.43 -3.0 0.13 -0.95 17.11 0.05 51.99 1.2 88.49 -2.9 0.19 -0.90 18.41 0.10 53.98 1.3 90.32 -2.8 0.26 -0.85 19.77 0.15 55.96 1.4 91.92 -2.7 0.35 -0.80 21.19 0.20 57.93 1.5 93.32 -2.6 0.47 -0.75 22.66 0.25 59.87 1.6 94.52 -25 0.62 0.70 24.20 0.30 61.79 1.7 95.54 -2.4 0.82 -0.65 25.78 0.35 63.68 1.8 96.4 -2.3 1.07 -0.60 27.43 0.40 65.54 1.9 97.13 -2.2 1.39 0.55 29.12 0.45 67.36 2.0 97.72 -2.1 1.79 0.50 30.85 0.50 69.15 2.1 98.21 -2.0 2.28 -0.45 32.64 0.55 70.88 2.2 98.61 -1.9 2.87 -0.40 34.46 0.60 72.57 2.3 98.93 -1.8 3.59 0.35 36.32 0.65 74.22 2.4 99.18 -1.7 4.46 0.30 38.21 0.70 75.80 2.5 99.38 -1.6 5.48 -0.25 40.13 0.75 77.34 2.6 99.53 -1.5 6.68 0.20 42.0 0.80 78.81 2.7 99.65 -1.4 8.08 0.15 44.04 0.85 80.23 2.8 99.74 -13 9.68 -0.10 46.02 0.90 81.59 2.9 99.81 -1.2 11.51 -0.05 48.01 0.95 82.89 3.0 19.87 -1.1 13.57 0.0 50.00 84.13 3.5 99.98 (3) Heights of American Men. The heights of American adult men are normally distributed with a mean of 69.7 inches and a SD = 2.7 inches. (a) What are the z-score and percentile of a height of 72 inches? (b) What are the z-score and percentile of a height of 65 inches? (c) What percentage of the American adult male population is taller than 6'4"? (d) What percentage of the American adult male population is shorter than 5'4"? e) Assume that there are about 115 million adult men in U.S. Approximately how many men are at least as tall as the basketball player Kobe Bryant, who is 6'7" tall