Suppose that you are designing an instrument panel for a large industrial machine. The machine requires the person using it to reach 2 feet from a particular position. The reach from this position for adult women is known to have a mean of 2.5 feet with a standard deviation of 0.5. The reach for adult men is known to have a mean of 2.8 feet with a standard deviation of 0.6. Both women's and men's reach from this position is normally distributed. If this design is implemented, (@) what percentage of women will not be able to work on this instrument panel? (b) What percentage of men will not be able to work on this instrument panel? (c) Explain your answers to a person who has never had a course in statistics Click here to view page 1 of the table. Click here to view page 2 of the table. Click here to view page 3 of the table. Click here to view page 4 of the table. (a) What percentage of women will not be able to work on this instrument panel? (Round to two decimal places as needed.) (b) What percentage of men will not be able to work on this instrument panel? % (Round to two decimal places as needed.) (c) Explain your answers to a person who has never had a course in statistics. Fill in the blanks. The relative distance of the minimum required reach from the reach in terms of gives a that can be used to find the percentage of individuals whose reach is the minimum.Normal curve table (page 1) mean mean L mean L Z % Mean to Z % in Tail Z % Mean to Z % in Tail 00 0.00 50.00 30 11.79 38.21 .01 0.40 49.60 .31 12.17 37.83 .02 0.80 49.20 .32 12.55 37.45 .03 1.20 48.80 33 12.93 37.07 .04 1.60 48.40 34 13.31 36.69 .05 1.99 48.01 35 13.68 36.32 .06 2.39 47.61 36 14.06 35.94 .07 2.79 47.21 .37 14.43 35.57 .08 3.19 46.81 38 14.80 35.20 .09 3.59 46.41 39 15.17 34.83 .10 3.98 46.02 40 15.54 34.46 .11 4.38 45.62 .41 15.91 34.09 .12 4.78 45.22 .42 16.28 33.72 13 5.17 44.83 43 16.64 33.36Normal curve table (page 1) -X .15 5.96 44.04 45 17.36 32.64 .16 6.36 43.64 46 17.72 32.28 .17 6.75 43.25 47 18.08 31.92 18 7.14 42.86 48 18.44 31.56 .19 7.53 42.47 .49 18.79 31.21 20 7.93 42.07 .50 19.15 30.85 .21 8.32 41.68 .51 19.50 30.50 .22 8.71 41.29 52 19.85 30.15 .23 9.10 40.90 53 20.19 29.81 .24 9.48 40.52 54 20.54 29.46 .25 9.87 40.13 55 20.88 29.12 26 10.26 39.74 56 21.23 28.77 .27 10.64 39.36 .57 21.57 28.43 28 11.03 38.97 58 21.90 28.10 29 11.41 38.59 59 22.24 27.76 mean Z mean 2. mean Z mean 2 Z % Mean to Z % in Tail Z % Mean to Z % in TailNormal curve table (page 2) mean Z man & % Mean to Z % in Tail % Mean to Z in Tail .60 22.57 27.43 1.03 34.85 15.15 61 22.91 27.09 1.04 35.08 14.92 62 23.24 26.76 1.05 35.31 14.69 63 23.57 26.43 1.06 35.54 14.46 .64 23.89 26.11 1.07 35.77 14.23 65 24.22 25.78 1.08 35.99 14.01 .66 24.54 25.46 1.09 36.21 13.79 .67 24.86 25.14 1.10 36.43 13.57 68 25.17 24.83 1.11 36.65 13.35 69 25.49 24.51 1.12 36.86 13.14 .70 25.80 24.20 1.13 37.08 12.92 .71 26.11 23.89 1.14 37.29 12.71 .72 26.42 23.58 1.15 37.49 12.51 .73 26.73 23.27 1.16 37.70 12.30Normal curve table (page 2) X 20. 17 23.69 1. 14 37.29 12.71 .72 26.42 23.58 1.15 37.49 12.51 .73 26.73 23.27 1.16 37.70 12.30 .74 27.04 22.96 1.17 37.90 12.10 .75 27.34 22.66 1.18 38.10 11.90 .76 27.64 22.36 1.19 38.30 11.70 .77 27.94 22.06 1.20 38.49 11.51 .78 28.23 21.77 1.21 38.69 11.31 .79 28.52 21.48 1.22 38.88 11.12 .80 28.81 21.19 1.23 39.07 10.93 .81 29.10 20.90 1.24 39.25 10.75 .82 29.39 20.61 1.25 39.44 10.56 .83 29.67 20.33 1.26 39.62 10.38 .84 29.95 20.05 1.27 39.80 10.20 .85 30.23 19.77 1.28 39.97 10.03 .86 30.51 19.49 1.29 40.15 9.85 .87 30.78 19.22 1.30 40.32 9.68 .88 31.06 18.94 1.31 40.49 9.51 .89 31.33 18.67 1.32 40.66 9.34 .90 31.59 18.41 1.33 40.82 9.18 .91 31.86 18.14 1.34 40.99 9.01 17 00 O DENormal curve table (page 2) X 88 31.06 18.94 1.31 40.49 9.51 89 31.33 18.67 1.32 40.66 9.34 .90 31.59 18.41 1.33 40.82 9.18 91 31.86 18.14 1.34 40.99 9.01 .92 32.12 17.88 1.35 41.15 8.85 93 32.38 17.62 1.36 41.31 8.69 .94 32.64 17.36 1.37 41.47 8.53 95 32.89 17.11 1.38 41.62 8.38 .96 33.15 16.85 1.39 41.77 8.23 .97 33.40 16.60 1.40 41.92 8.08 .98 33.65 16.35 1.41 42.07 7.93 .99 33.89 16.11 1.42 42.22 7.78 1.00 34.13 15.87 1.43 42.36 7.64 1.01 34.38 15.62 1.44 42.51 7.49 1.02 34.61 15.39 1.45 42.65 7.35Normal curve table (page 3) X mean E mean E % Mean to Z % in Tail Z % Mean to Z % in Tail 1.46 42.79 7.21 1.88 46.99 3.01 1.47 42.92 7.08 1.89 47.06 2.94 1.48 43.06 6.94 1.90 47.13 2.87 1.49 43.19 6.81 1.91 47.19 2.81 1.50 43.32 6.68 1.92 47.26 2.74 1.51 43.45 6.55 1.93 47.32 2.68 1.52 43.57 6.43 1.94 47.38 2.62 1.53 43.70 6.30 1.95 47.44 2.56 1.54 43.82 6.18 1.96 47.50 2.50 1.55 43.94 6.06 1.97 47.56 2.44 1.56 44.06 5.94 1.98 47.61 2.39 1.57 44.18 5.82 1.99 47.67 2.33 1.58 44.29 5.71 2.00 47.72 2.28 1.59 44.41 5.59 2.01 47.78 2.221.57 44. 18 5.62 1.99 4/.67 1.58 2.33 44.29 5.71 2.00 47.72 2.28 1.59 44.41 5.59 2.01 47.78 1.60 2.22 44.52 5.48 2.02 47.83 2.17 1.61 44.63 5.37 2.03 47.88 1.62 2.12 44.74 5.26 2.04 47.93 2.07 1.63 44.84 5.16 2.05 47.98 1.64 2.02 44.95 5.05 2.06 48.03 1.97 1.65 45.05 4.95 2.07 48.08 1.66 1.92 45.15 4.85 2.08 48.12 1.88 1.67 45.25 4.75 2.09 48.17 1.68 1.83 45.35 4.65 2.10 48.21 1.79 1.69 45.45 4.55 2.11 48.26 1.70 1.74 45.54 4.46 2.12 48.30 1.70 1.71 45.64 4.36 2.13 48.34 1.66 1.72 45.73 4.27 2.14 48.38 1.62 1.73 45.82 4.18 2.15 48.42 1.74 1.58 45.91 4.09 2.16 48.46 1.54 1.75 45.99 4.01 2.17 48.50 1.76 1.50 46.08 3.92 2.18 48.54 1.46 1.77 46.16 3.84 2.19 48.57 1 70 1.43 O TE 40 21 1 onNormal curve table (page 3) 1.73 45.82 4.18 2.15 48.42 1.58 1.74 45.91 4.09 2.16 48.46 1.54 1.75 45.99 4.01 2.17 48.50 1.50 1.76 46.08 3.92 2.18 48.54 1.46 1.77 46.16 3.84 2.19 48.57 1.43 1.78 46.25 3.75 2.20 48.61 1.39 1.79 46.33 3.67 2.21 48.64 1.36 1.80 46.41 3.59 2.22 48.68 1.32 1.81 46.49 3.51 2.23 48.71 1.29 1.82 46.56 3.44 2.24 48.75 1.25 1.83 46.64 3.36 2.25 48.78 1.22 1.84 46.71 3.29 2.26 48.81 1.19 1.85 46.78 3.22 2.27 48.84 1.16 1.86 46.86 3.14 2.28 48.87 1.13 1.87 46.93 3.07 2.29 48.90 1.10 mean 2 mean Z mean 2 % Mean to Z % in Tail % Mean to Z in TailNormal curve table (page 4) mean & mean Z Z % Mean to Z % in Tail Z % Mean to Z % in Tail 2.30 48.93 1.07 2.67 49.62 38 2.31 48.96 1.04 2.68 49.63 37 2.32 48.98 1.02 2.69 49.64 36 2.33 49.01 99 2.70 49.65 35 2.34 49.04 .96 2.71 49.66 34 2.35 49.06 94 2.72 49.67 33 2.36 49.09 .91 2.73 49.68 32 2.37 49.11 89 2.74 49.69 .31 2.38 49.13 .87 2.75 49.70 .30 2.39 49.16 .84 2.76 49.71 29 2.40 49.18 82 2.77 49.72 28 2.41 49.20 80 2.78 49.73 27 2.42 49.22 .78 2.79 49.74 26 2.43 49.25 .75 2.80 49.74 262.41 49.20 2.78 49.73 2.42 49.22 78 2.79 49.74 .26 2.43 49.25 75 2.80 49.74 .26 2.44 49.27 73 2.81 49.75 .25 2.45 49.29 .71 2.82 49.76 .24 2.46 49.31 69 2.83 49.77 .23 2.47 49.32 68 2.84 49.77 .23 2.48 49.34 .66 2.85 49.78 .22 2.49 49.36 .64 2.86 49.79 .21 2.50 49.38 62 2.87 49.79 .21 2.51 49.40 60 2.88 49.80 .20 2.52 49.41 59 2.89 49.81 .19 2.53 49.43 57 2.90 49.81 19 2.54 49.45 55 2.91 49.82 18 2.55 49.46 .54 2.92 49.82 .18 2.56 49.48 52 2.93 49.83 17 2.57 49.49 .51 2.94 49.84 16 2.58 49.51 49 2.95 49.84 16 2.59 49.52 48 2.96 49.85 15 2.60 49.53 47 2.97 49.85 15 2.61 49.55 .45 2.98 49.86 14Normal curve table (page 4) 2.52 49.41 .59 2.89 49.81 19 2.53 49.43 57 2.90 49.81 19 2.54 49.45 .55 2.91 49.82 18 2.55 49.46 .54 2.92 49.82 18 2.56 49.48 .52 2.93 49.83 .17 2.57 49.49 .51 2.94 49.84 16 2.58 49.51 .49 2.95 49.84 16 2.59 49.52 .48 2.96 49.85 15 2.60 49.53 .47 2.97 49.85 15 2.61 49.55 .45 2.98 49.86 14 2.62 49.56 .44 2.99 49.86 .14 2.63 49.57 .43 3.00 49.87 13 2.64 49.59 .41 3.50 49.98 .02 2.65 49.60 .40 4.00 50.00 2.66 49.61 39 4.50 50.00 .00 masn 2 mean 2 mean & mean & % Mean to Z % in Tail Z % Mean to Z % in Tail