A group of students take a Statistics Exam where the average was M = 90 and the standard deviation was SD = 7.8. Answer the following questions regarding this distribution using your normal curve table. Depending on the problem, be sure to identify the raw scores, Z scores, what in particular you shaded when creating a curve and the final answer. (5 pts each) 6. What percentage of the population lands between the raw scores of 82 and 107? If you score a 85, what percentage of the population scored above you? What raw score is needed to be in the bottom 16%? 7. 8. If you score a 96, what percentage of the population scored above you? What raw score is needed to be in the top 17%? 9. 10. TABLE B.1 continued TABLE B.1 THE z DISTRIBUTION % MEAN TO Z % MEAN TO z % IN TAIL %IN TAIL Normal curve columns represent percentage between the mean and the : score and percentage beyond the z score in the tail. 46 17.72 32.28 89 31.33 18.67 47 18.08 31.92 90 31.59 18.41 48 18.44 31.56 91 31.86 18.14 49 18.79 31.21 92 32.12 17.88 50 19.15 30.85 93 32.38 17.62 51 19.50 30.50 94 32.64 17.36 52 19.85 30.15 .95 32.89 17.11 53 20.19 29.81 96 33.15 16.85 % MEAN TO Z % MEAN 54 20.54 29.46 .97 33.40 16.60 TO Z %N TAIL %IN TAIL 55 20.88 29.12 98 33.65 16.35 56 21.23 28.77 99 33.89 16.11 .00 0.00 50.00 23 9.10 40.90 57 21.57 28.43 1.00 34.13 15.87 .01 0.40 49.60 24 9.48 40.52 21.90 22.24 58 28.10 1.01 34.38 15.62 .02 0.80 49.20 25 9.87 40.13 59 27.76 1.02 34.61 15.39 60 22.57 27.43 1.03 34.85 15.15 .03 1.20 48.80 26 10.26 39.74 61 22.91 27.09 1.04 35.08 14.92 .04 1.60 48.40 27 10.64 39.36 62 23.24 26.76 1.05 35.31 14.69 63 23.57 26.43 1.06 35.54 14,46 05 1.99 48.01 28 11.03 38.97 64 23.89 26.11 1.07 35.77 14.23 .06 2.39 47.61 29 11.41 38.59 65 24.22 25.78 1.08 1.09 35.99 14.01 66 24.54 25.46 36.21 13.79 07 2.79 47.21 30 11.79 38.21 67 24.86 25.14 1.10 36.43 13.57 08 3.19 46.81 31 12.17 37.83 68 25.17 24.83 1.11 36.65 13.35 .09 3.59 46.41 32 12.55 37.45 69 25.49 24.51 1.12 36.86 13.14 37.08 37.29 70 25.80 24.20 1.13 12.92 .10 3.98 46.02 33 12.93 37.07 71 26.11 23.89 1,14 12.71 .11 4.38 45.62 34 13.31 36.69 72 26.42 23.58 1.15 37.49 12.51 73 26.73 1.16 23.27 22.96 37.70 12.30 12 4.78 45.22 35 13.68 36.32 74 27.04 1.17 37.90 12.10 .13 5.17 44.83 36 14.06 35.94 75 27.34 22.66 22.36 1.18 38.10 11.90 .14 5.57 44.43 37 14.43 35.57 76 27.64 1.19 38.30 11.70 77 27.94 22.06 1.20 38.49 11.51 .15 5.96 44.04 38 14.80 35.20 78 28.23 21.77 1.21 38.69 11.31 .16 6.36 43.64 39 15.17 34.83 79 28.52 21.48 1,22 38.88 11.12 80 28.81 21.19 1.23 39.07 10.93 .17 6.75 43.25 40 15.54 34.46 81 29.10 20.90 1.24 39.25 10.75 .18 7.14 42.86 41 15.91 34.09 29.39 20.61 1.25 39.44 10.56 82 83 29.67 20.33 1.26 39.62 10.38 .19 7.53 42.47 42 16.28 33.72 84 29.95 20.05 1.27 39.80 10.20 20 7.93 42.07 43 16.64 33.36 85 30.23 19.77 1.28 39.97 10.03 21 8.32 41.68 44 17.00 33.00 86 30.51 19.49 1.29 40.15 9.85 87 30.78 19.22 1.30 40.32 9.68 22 8.71 41.29 45 17.36 32.64 31.06 18.94 1.31 40.49 9.51 TABLE B.1 continued TABLE B.1 continued % MEAN TO % MEAN TOZ % MEAN TO % MEAN %IN TAIL SIN TAIL TO Z % IN TAIL 5 IN TAIL 1.75 1.76 1.32 40.66 9.34 45.99 4.01 2.18 48.54 1.46 2.61 49.55 45 1.33 40.82 9.18 46.08 3.92 2.19 48.57 1.43 2.62 49.56 44 1.34 40.99 9.01 1.77 46.16 3.84 2.20 48.61 1.39 2.63 49.57 43 1.35 41.15 8.85 8.69 1.78 46.25 3.75 2.21 48.64 1.36 2.64 49.59 41 1.36 41.31 1.79 46.33 3.67 2.22 48.68 1.32 2.65 49.60 40 1.37 41.47 8.53 1.80 46.41 3.59 2.23 48.71 1.29 2.66 49.61 39 1.38 41.62 8.38 1.81 46.49 3.51 2.24 48.75 1.25 2.67 49.62 38 1.39 41.77 8.23 1.82 46.56 3.44 2.25 48.78 1.22 2.68 49.63 37 1.40 41.92 8.08 1.83 46.64 3.36 2.26 48.81 1.19 2.69 49.64 36 35 1.41 42.07 7.93 1.84 46,71 3.29 2.27 48.84 1.16 2.70 49.65 1.42 42.22 7.78 1.85 46.78 3.22 2.28 48.87 1.13 2.71 49.66 34 42.36 2.72 2.73 2.74 1.43 7.64 1.86 46.86 3.14 2.29 48.90 1.10 49.67 33 1.44 42.51 7.49 1.87 46.93 3.07 2.30 48.93 1.07 49.68 32 1.45 7.35 1.88 1.89 42.65 46.99 3.01 2.31 48.96 1.04 49.69 31 1.46 42.79 7.21 47.06 2.94 2.32 48.98 1.02 2.75 49.70 30 1.47 42.92 7.08 1.90 47.13 2.87 2.33 49.01 99 2.76 49.71 29 1.48 43.06 1.91 47.19 2.81 2.74 6.94 2.34 49.04 96 2.77 49.72 28 1.49 43.19 6.81 1.92 47.26 2.35 49.06 94 2.78 49.73 27 1.50 43.32 6.68 1.93 47.32 2.68 2.36 49.09 91 2.79 49.74 26 1.51 43.45 6.55 1.94 47.38 2.62 2.37 49.11 89 2.80 49.74 26 1.52 43.57 6.43 1.95 47.44 2.56 2.38 49.13 87 2.81 49.75 25 1.53 43.70 6.30 1.96 47.50 2.50 2.39 49.16 84 2.82 49.76 24 6.18 6.06 1.54 43.82 1.97 47.56 2.44 2.40 49.18 82 2.83 49.77 23 47.61 2.39 2.33 2.28 1.55 43.94 49.20 80 1.98 1.99 2.00 2.41 2.84 49.77 23 2.85 2.86 1.56 44.06 44.18 44.29 5.94 47.67 2.42 49.22 78 49.78 22 2.43 49.25 75 73 1.57 5.82 47.72 49.79 21 49.27 2.87 49.79 21 20 1.58 5.71 5.59 5.48 5.37 2.01 47.78 2.22 2.44 1.59 2.45 71 49.80 2.02 2.03 2.04 44.41 47.83 2.17 49.29 2.88 1.60 44.52 47.88 2.12 2.46 49.31 49 2.89 49.81 19 1.61 44.63 47.93 2.07 2.47 49.32 68 2.90 49.81 .19 1.62 44.74 5.26 2.05 47.98 2.02 2.48 49.34 66 2.91 49.82 18 1.63 44.84 5.16 2.06 48.03 1.97 2.49 49.36 64 2.92 49.82 .18 2.50 49.38 62 2.93 2.94 1.64 44.95 5.05 2.07 48.08 1.92 49.83 .17 1.65 45.05 4.95 2.08 48.12 1.88 2.51 49.40 60 49.84 16 1.66 45.15 4.85 2.09 48.17 1.83 2.52 49.41 59 2.95 49.84 16 1.67 45.25 4.75 2.10 48.21 1.79 2.53 49.43 57 2.96 49.85 .15 1.68 45.35 4.65 2.11 48.26 1.74 2.54 49.45 55 2.97 49.85 15 1.69 45.45 4.55 2.12 48.30 1.70 2.55 49.46 54 2.98 49.86 14 1.70 45.54 4.46 2.13 48.34 1.66 2.56 49.48 52 2.99 49.86 14 1.71 45.64 4.36 2.14 48.38 1.62 2.57 49.49 51 3.00 49.87 13 1.72 45.73 4.27 2.15 48.42 1.58 2.58 49.51 49 3.50 49.98 02 1.73 45.82 4.18 2.16 2.59 49.52 48 4.00 50.00 .00 48.46 48.50 1.54 1.74 45.91 4.09 2.17 1.50 2.60 49.53 47 4.50 50.00 00