Ameritrade decided to relax it's policy and only monitor trades within 90% of the normal distribution...

  
 
 
 
 

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Ameritrade decided to relax it's policy and only monitor trades within 90% of the normal distribution of scores. Use the zscore tables to provide the z-score that corresponds to the mid-90% of the distribution: Use this z-score to provide the new cutoffs you would use to monitor trades. Lower Limit: Upper Limit: NOTE: Please round your answers to 2 decimal places. TABLE A Percentage of Area under the Normal Curve Column a gives the distance in standard deviation units from the mean (z). Column b represents the percentage of area between the mean and a given z. Column c represents the percentage at or beyond a given z. A Mean 50.00% of total area, Mean Column b Z Column c N 50.00% of total area A Mean Column b -1 Column c -2 Mean (continued) TABLEA (continued) (a) (b) Area between Mean and z z .00 .01 02 .03 04 .05 .06 .07 08 .09 .10 11 .12 .13 .14 .15 16 .17 .18 .19 20 21 22 .23 .24 25 .26 .27 .28 .29 .30 .31 32 33 34 .35 36 .37 38 39 40 41 42 43 .00 .40 .80 1.20 1.60 1.99 2.39 2.79 3.19 3.59 3.98 4.38 4.78 5.17 5.57 5.96 6.36 6.75 7.14 7.53 7.93 8.32 8.71 9.10 9.48 9.87 10.26 10.64 11.03 11.41 11.79 12.17 12.55 12.93 13.31 13.68 14.06 14.43 14.80 15.17 15.54 15.91 16.28 16.64 Area beyond z 50.00 49.60 49.20 48.80 48.40 48.01 47.61 47.21 46.81 46.41 46.02 45.62 45.22 44.83 44.43 44.04 43.64 43.25 42.86 42.47 42.07 41.68 41.29 40.90 40.52 40.13 39.74 39.36 38.97 38.59 38.21 37.83 37.45 37.07 36.69 36.32 35.94 35.57 35.20 34.83 34.46 34.09 33.72 33.36 (a) Z 44 .45 46 47 48 .49 .50 51 .52 53 54 .55 .56 57 .58 .59 .60 .61 .62 .63 .64 .65 .66 .67 .68 .69 .70 .71 .72 .73 .74 .75 .76 .77 .78 .79 .80 .81 82 .83 .84 .85 .86 .87 (b) Area between Mean and g 17.00 17.36 17.72 18.08 18.44 18.79 19.15 19.50 19.85 20.19 20.54 20.88 21.23 21.57 21.90 22.24 22.57 22.91 23.24 23.57 23.89 24.22 24.54 24.86 25.17 25.49 25.80 26.11 26.42 26.73 27.04 27.34 27.64 27.94 28.23 28.52 28.81 29.10 29.39 29.67 29.95 30.23 30.51 30.78 (c) Area beyond z 33.00 32.64 32.28 31.92 31.56 31.21 30.85 30.50 30.15 29.81 29.46 29.12 28.77 28.43 28.10 27.76 27.43 27.09 26.76 26.43 26,11 25.78 25.46 25,14 24.83 24.51 24.20 23.89 23.58 23.27 22.96 22.66 22.36 22.06 21.77 21.48 21.19 20.90 20.61 20.33 20.05 19.77 19.49 19.22 TABLE A (continued) (a) (b) Area between Mean and z Z .88 .89 .90 .91 .92 .93 94 .95 .96 97 98 .99 1.00 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.10 1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19 1.20 1.21 1.22 1.23 1.24 1.25 1.26 1,27 1.28 1.29 1.30 1.31 31.06 31.33 31.59 31.86 32.12 32.38 32.64 32,89 33.15 33.40 33.65 33.89 34.13 34.38 34.61 34.85 35.08 35.31 35.54 35.77 35.99 36.21 36.43 36.65 36.86 37.08 37.29 37.49 37.70 37.90 38.10 38.30 38,49 38.69 38.88 39.07 39.25 39.44 39.62 39.80 39.97 40.15 40.32 40.49 (c) Area beyond z 18.94 18.67 18.41 18.14 17.88 17.62 17.36 17.11 16.85 16.60 16.35 16.11 15.87 15.62 15.39 15.15 14.92 14.69 14.46 14.23 14.01 13.79 13.57 13.35 13.14 12.92 12.71 12.51 12.30 12.10 11.90 11.70 11.51 11.31 11.12 10.93 10.75 10.56 10.38 10.20 10.03 9.85 9.68 9.51 (a) 2 1.32 1.33 1.34 1.35 1.36 1.37 1.38 1.39 1.40 1.41 1.42 1.43 1.44 1.45 1.46 1.47 1.48 1.49 1.50 1.51 1.52 1.53 1.54 1.55 1.56 1.57 1.58 1.59 1.60 1.61 1.62 1.63 1.64 1.65 1.66 1.67 1.68 1.69 1.70 1.71 1.72 1.73 1.74 1.75 (b) Area between Mean and z 40.66 40.82 40.99 41.15 41.31 41.47 41.62 41.77 41.92 42.07 42.22 42.36 42.51 42.65 42.79 42.92 43.06 43.19 43.32 43.45 43.57 43.70 43.82 43.94 44.06 44.18 44.29 44.41 44.52 44.63 44.74 44.84 44.95 45.05 45.15 45.25 45.35 45.45 45.54 45.64 45.73 45.82 45.91 45.99 (c) Area beyond z 9.34 9.18 9.01 8.85 8.69 8.53 8.38 8.23 8.08 7.93 7.78 7.64 7.49 7.35 7.21 7.08 6.94 6.81 6.68 6.55 6.43 6.30 6.18 6.06 5.94 5.82 5.71 5.59 5.48 5.37 5.26 5.16 5.05 4.95 4.85 4.75 4.65 4.55 4.46 4.36 4.27 4.18 4.09 4.01 (continued) TABLEA (continued) (a) (b) Area between Mean and z z 1.76 1.77 1.78 1.79 1.80 1.81 1.82 1.83 1.84 1.85 1.86 1,87 1.88 1.89 1,90 1.91 1.92 1.93 1.94 1.95 1.96 1.97 1.98 1.99 2.00 2.01 2.02 2.03 2.04 2.05 2.06 2.07 2.08 2.09 2.10 2.11 2,12 2.13 2.14 2,15 2.16 2.17 2,18 2.19 46.08 46.16 46.25 46.33 46.41 46.49 46.56 46.64 46.71 46.78 46.86 46.93 46.99 47.06 47.13 47.19 47.26 47.32 47.38 47.44 47.50 47.56 47.61 47.67 47.72 47.78 47.83 47.88 47.93 47.98 48.03 48.08 48.12 48.17 48.21 48.26 48.30 48.34 48.38 48.42 48.46 48.50 48.54 48.57 (c) Area beyond z 3.92 3.84 3.75 3.67 3.59 3.51 3.44 3.36 3.29 3.22 3.14 3.07 3.01 2.94 2.87 2.81 2.74 2.68 2.62 2.56 2.50 2,44 2.39 2.33 2.28 2.22 2.17 2,12 2.07 2.02 1.97 1.92 1.88 1.83 1.79 1.74 1.70 1.66 1,62 1.58 1.54 1.50 1.46 1.43 z 2.20 2.21 2.22 2.23 2.24 2.25 2,26 2.27 2.28 2.29 2.30 2.31 2.32 2.33 2.34 2.35 2.36 2.37 2.38 2.39 2.40 2.41 2,42 2.43 2.44 2,45 2.46 2,47 2.48 2.49 2,50 2.51 2.52 2.53 2.54 2.55 2.56 2.57 2.58 2,59 2.60 2.61 2.62 2.63 (b) Area between Mean and z 48.61 48.64 48.68 48.71 48.75 48.78 48.81 48.84 48.87 48.90 48.93 48.96 48.98 49.01 49,04 49.06 49.09 49.11 49.13 49.16 49.18 49.20 49.22 49.25 49.27 49,29 49.31 49.32 49.34 49.36 49.38 49.40 49.41 49.43 49.45 49.46 49.48 49.49 49.51 49.52 49.53 49.55 49.56 49.57 (c) Area beyond z 1.39 1.36 1.32 1.29 1.25 1.22 1.19 1.16 1.13 1.10 1.07 1.04 1.02 .99 .96 .94 91 .89 .87 .84 .82 .80 .78 75 .73 .71 .69 .68 .66 .64 .62 .60 59 57 .55 54 .52 .51 .49 .48 .47 45 44 43 TABLEA (continued) (a) (b) Area between Mean and z Z 2.64 2.65 2.66 2.67 2.68 2.69 2.70 2.71 2.72 2.73 2.74 2.75 2.76 2.77 2.78 2.79 2,80 2,81 2.82 2.83 2.84 2.85 2,86 2.87 2.88 2.89 2.90 2.91 2.92 2.93 2.94 2.95 2.96 2,97 2.98 7.99 49.59 49.60 49.61 49.62 49.63 49.64 49.65 49.66 49.67 49.68 49.69 49.70 49.71 49.72 49.73 49.74 49.74 49.75 49.76 49.77 49.77 49.78 49.79 49.79 49.80 49.81 49.81 49.82 49.82 49.83 49.84 49.84 49.85 49.85 49.86 49 86 (c) Area beyond z 41 40 .39 38. .37 36 35 34 .33 .32 .31 .30 .29 28 .27 26 .26 .25 .24 .23 23 .22 .21 21 .20 .19 .19 .18 .18 17 .16 .16 .15 15 .14 14 (a) Z 3.00 3.01 3.02 3.03 3.04 3.05 3.06 3.07 3.08 3.09 3.10 3.11 3.12 3.13 3.14 3.15 3.16 3.17 3.18 3.19 3.20 3.21 3.22 3.23 3.24 3.25 3.30 3.35 3.40 3.45 3.50 3.60 3.70 3,80 3.90 4.00 (b) Area between Mean and z 49.87 49.87 49.87 49.88 49.88 49.89 49.89 49.89 49.90 49.90 49.90 49.91 49.91 49.91 49.92 49.92 49.92 49.92 49.93 49.93 49.93 49.93 49.94 49.94 49,94 49.94 49.95 49.96 49.97 49.97 49.98 49.98 49.99 49.99 49.995 49.997 Area beyond z .13 .13 .13 .12 .12 .11 11 .11 .10 .10 .10 .09 .09 .09 .08 .08 .08 08 .07 .07 .07 .07 .06 .06 .06 .06 .05 .04 .03 ,03 .02 .02 .01 .01 ,005 .003 Ameritrade decided to relax it's policy and only monitor trades within 90% of the normal distribution of scores. Use the zscore tables to provide the z-score that corresponds to the mid-90% of the distribution: Use this z-score to provide the new cutoffs you would use to monitor trades. Lower Limit: Upper Limit: NOTE: Please round your answers to 2 decimal places. TABLE A Percentage of Area under the Normal Curve Column a gives the distance in standard deviation units from the mean (z). Column b represents the percentage of area between the mean and a given z. Column c represents the percentage at or beyond a given z. A Mean 50.00% of total area, Mean Column b Z Column c N 50.00% of total area A Mean Column b -1 Column c -2 Mean (continued) TABLEA (continued) (a) (b) Area between Mean and z z .00 .01 02 .03 04 .05 .06 .07 08 .09 .10 11 .12 .13 .14 .15 16 .17 .18 .19 20 21 22 .23 .24 25 .26 .27 .28 .29 .30 .31 32 33 34 .35 36 .37 38 39 40 41 42 43 .00 .40 .80 1.20 1.60 1.99 2.39 2.79 3.19 3.59 3.98 4.38 4.78 5.17 5.57 5.96 6.36 6.75 7.14 7.53 7.93 8.32 8.71 9.10 9.48 9.87 10.26 10.64 11.03 11.41 11.79 12.17 12.55 12.93 13.31 13.68 14.06 14.43 14.80 15.17 15.54 15.91 16.28 16.64 Area beyond z 50.00 49.60 49.20 48.80 48.40 48.01 47.61 47.21 46.81 46.41 46.02 45.62 45.22 44.83 44.43 44.04 43.64 43.25 42.86 42.47 42.07 41.68 41.29 40.90 40.52 40.13 39.74 39.36 38.97 38.59 38.21 37.83 37.45 37.07 36.69 36.32 35.94 35.57 35.20 34.83 34.46 34.09 33.72 33.36 (a) Z 44 .45 46 47 48 .49 .50 51 .52 53 54 .55 .56 57 .58 .59 .60 .61 .62 .63 .64 .65 .66 .67 .68 .69 .70 .71 .72 .73 .74 .75 .76 .77 .78 .79 .80 .81 82 .83 .84 .85 .86 .87 (b) Area between Mean and g 17.00 17.36 17.72 18.08 18.44 18.79 19.15 19.50 19.85 20.19 20.54 20.88 21.23 21.57 21.90 22.24 22.57 22.91 23.24 23.57 23.89 24.22 24.54 24.86 25.17 25.49 25.80 26.11 26.42 26.73 27.04 27.34 27.64 27.94 28.23 28.52 28.81 29.10 29.39 29.67 29.95 30.23 30.51 30.78 (c) Area beyond z 33.00 32.64 32.28 31.92 31.56 31.21 30.85 30.50 30.15 29.81 29.46 29.12 28.77 28.43 28.10 27.76 27.43 27.09 26.76 26.43 26,11 25.78 25.46 25,14 24.83 24.51 24.20 23.89 23.58 23.27 22.96 22.66 22.36 22.06 21.77 21.48 21.19 20.90 20.61 20.33 20.05 19.77 19.49 19.22 TABLE A (continued) (a) (b) Area between Mean and z Z .88 .89 .90 .91 .92 .93 94 .95 .96 97 98 .99 1.00 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.10 1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19 1.20 1.21 1.22 1.23 1.24 1.25 1.26 1,27 1.28 1.29 1.30 1.31 31.06 31.33 31.59 31.86 32.12 32.38 32.64 32,89 33.15 33.40 33.65 33.89 34.13 34.38 34.61 34.85 35.08 35.31 35.54 35.77 35.99 36.21 36.43 36.65 36.86 37.08 37.29 37.49 37.70 37.90 38.10 38.30 38,49 38.69 38.88 39.07 39.25 39.44 39.62 39.80 39.97 40.15 40.32 40.49 (c) Area beyond z 18.94 18.67 18.41 18.14 17.88 17.62 17.36 17.11 16.85 16.60 16.35 16.11 15.87 15.62 15.39 15.15 14.92 14.69 14.46 14.23 14.01 13.79 13.57 13.35 13.14 12.92 12.71 12.51 12.30 12.10 11.90 11.70 11.51 11.31 11.12 10.93 10.75 10.56 10.38 10.20 10.03 9.85 9.68 9.51 (a) 2 1.32 1.33 1.34 1.35 1.36 1.37 1.38 1.39 1.40 1.41 1.42 1.43 1.44 1.45 1.46 1.47 1.48 1.49 1.50 1.51 1.52 1.53 1.54 1.55 1.56 1.57 1.58 1.59 1.60 1.61 1.62 1.63 1.64 1.65 1.66 1.67 1.68 1.69 1.70 1.71 1.72 1.73 1.74 1.75 (b) Area between Mean and z 40.66 40.82 40.99 41.15 41.31 41.47 41.62 41.77 41.92 42.07 42.22 42.36 42.51 42.65 42.79 42.92 43.06 43.19 43.32 43.45 43.57 43.70 43.82 43.94 44.06 44.18 44.29 44.41 44.52 44.63 44.74 44.84 44.95 45.05 45.15 45.25 45.35 45.45 45.54 45.64 45.73 45.82 45.91 45.99 (c) Area beyond z 9.34 9.18 9.01 8.85 8.69 8.53 8.38 8.23 8.08 7.93 7.78 7.64 7.49 7.35 7.21 7.08 6.94 6.81 6.68 6.55 6.43 6.30 6.18 6.06 5.94 5.82 5.71 5.59 5.48 5.37 5.26 5.16 5.05 4.95 4.85 4.75 4.65 4.55 4.46 4.36 4.27 4.18 4.09 4.01 (continued) TABLEA (continued) (a) (b) Area between Mean and z z 1.76 1.77 1.78 1.79 1.80 1.81 1.82 1.83 1.84 1.85 1.86 1,87 1.88 1.89 1,90 1.91 1.92 1.93 1.94 1.95 1.96 1.97 1.98 1.99 2.00 2.01 2.02 2.03 2.04 2.05 2.06 2.07 2.08 2.09 2.10 2.11 2,12 2.13 2.14 2,15 2.16 2.17 2,18 2.19 46.08 46.16 46.25 46.33 46.41 46.49 46.56 46.64 46.71 46.78 46.86 46.93 46.99 47.06 47.13 47.19 47.26 47.32 47.38 47.44 47.50 47.56 47.61 47.67 47.72 47.78 47.83 47.88 47.93 47.98 48.03 48.08 48.12 48.17 48.21 48.26 48.30 48.34 48.38 48.42 48.46 48.50 48.54 48.57 (c) Area beyond z 3.92 3.84 3.75 3.67 3.59 3.51 3.44 3.36 3.29 3.22 3.14 3.07 3.01 2.94 2.87 2.81 2.74 2.68 2.62 2.56 2.50 2,44 2.39 2.33 2.28 2.22 2.17 2,12 2.07 2.02 1.97 1.92 1.88 1.83 1.79 1.74 1.70 1.66 1,62 1.58 1.54 1.50 1.46 1.43 z 2.20 2.21 2.22 2.23 2.24 2.25 2,26 2.27 2.28 2.29 2.30 2.31 2.32 2.33 2.34 2.35 2.36 2.37 2.38 2.39 2.40 2.41 2,42 2.43 2.44 2,45 2.46 2,47 2.48 2.49 2,50 2.51 2.52 2.53 2.54 2.55 2.56 2.57 2.58 2,59 2.60 2.61 2.62 2.63 (b) Area between Mean and z 48.61 48.64 48.68 48.71 48.75 48.78 48.81 48.84 48.87 48.90 48.93 48.96 48.98 49.01 49,04 49.06 49.09 49.11 49.13 49.16 49.18 49.20 49.22 49.25 49.27 49,29 49.31 49.32 49.34 49.36 49.38 49.40 49.41 49.43 49.45 49.46 49.48 49.49 49.51 49.52 49.53 49.55 49.56 49.57 (c) Area beyond z 1.39 1.36 1.32 1.29 1.25 1.22 1.19 1.16 1.13 1.10 1.07 1.04 1.02 .99 .96 .94 91 .89 .87 .84 .82 .80 .78 75 .73 .71 .69 .68 .66 .64 .62 .60 59 57 .55 54 .52 .51 .49 .48 .47 45 44 43 TABLEA (continued) (a) (b) Area between Mean and z Z 2.64 2.65 2.66 2.67 2.68 2.69 2.70 2.71 2.72 2.73 2.74 2.75 2.76 2.77 2.78 2.79 2,80 2,81 2.82 2.83 2.84 2.85 2,86 2.87 2.88 2.89 2.90 2.91 2.92 2.93 2.94 2.95 2.96 2,97 2.98 7.99 49.59 49.60 49.61 49.62 49.63 49.64 49.65 49.66 49.67 49.68 49.69 49.70 49.71 49.72 49.73 49.74 49.74 49.75 49.76 49.77 49.77 49.78 49.79 49.79 49.80 49.81 49.81 49.82 49.82 49.83 49.84 49.84 49.85 49.85 49.86 49 86 (c) Area beyond z 41 40 .39 38. .37 36 35 34 .33 .32 .31 .30 .29 28 .27 26 .26 .25 .24 .23 23 .22 .21 21 .20 .19 .19 .18 .18 17 .16 .16 .15 15 .14 14 (a) Z 3.00 3.01 3.02 3.03 3.04 3.05 3.06 3.07 3.08 3.09 3.10 3.11 3.12 3.13 3.14 3.15 3.16 3.17 3.18 3.19 3.20 3.21 3.22 3.23 3.24 3.25 3.30 3.35 3.40 3.45 3.50 3.60 3.70 3,80 3.90 4.00 (b) Area between Mean and z 49.87 49.87 49.87 49.88 49.88 49.89 49.89 49.89 49.90 49.90 49.90 49.91 49.91 49.91 49.92 49.92 49.92 49.92 49.93 49.93 49.93 49.93 49.94 49.94 49,94 49.94 49.95 49.96 49.97 49.97 49.98 49.98 49.99 49.99 49.995 49.997 Area beyond z .13 .13 .13 .12 .12 .11 11 .11 .10 .10 .10 .09 .09 .09 .08 .08 .08 08 .07 .07 .07 .07 .06 .06 .06 .06 .05 .04 .03 ,03 .02 .02 .01 .01 ,005 .003