Research Article
A New Generalized Range Control Chart for the Weibull Distribution
Table 6
The simulation data when
and
.
| Sr# | | | | |
| 1 | 32.24 | 17.55 | 48.11 | 33.38 | 43.82 | −1.11 | −3.38 | −2.68 | −3.22 | −2.85 | −3 | −2.51 | −0.29 | −0.42 | −1.15 | 3.08 | 2 | 30.48 | 35.51 | 78.97 | 43.77 | 15.71 | −1.08 | −1.53 | 1.26 | 1.38 | −1.27 | −0.74 | −2.47 | 0.18 | 1.87 | 3.71 | 3.53 | 3 | 41.35 | 59.57 | 19.31 | 90.87 | 43.95 | 0.26 | 1.61 | −0.6 | 2.92 | 2.95 | −0.45 | −0.31 | 2.53 | 7.56 | 9.76 | 9.49 | 4 | 58.55 | 35.03 | 37.58 | 33.85 | 26 | 1.13 | 0.52 | 0.15 | −0.52 | −1.9 | 0.02 | 0.81 | −1.85 | −3.94 | −4.77 | 4.75 | 5 | 48.06 | 80.37 | 38.48 | 27.83 | 42.64 | 0.7 | 3.46 | 3.01 | 1.62 | 1.59 | −3.19 | −1.64 | 0.79 | 0.15 | 0.11 | 3.34 | 6 | 78.87 | 33.23 | 47.25 | 16.96 | 39.57 | 2.69 | 1.83 | 2.16 | −0.37 | −0.54 | 2.69 | 5.28 | 4.73 | 6.52 | 7.44 | 7.07 | 7 | 42.42 | 28.86 | 64.51 | 55.99 | 43.07 | 0.25 | −0.88 | 0.88 | 1.94 | 1.95 | −2.44 | −2.53 | −0.33 | −1.63 | −2.09 | 2.28 | 8 | 33 | 22.6 | 24.1 | 35.3 | 10 | −1.5 | −3.2 | −4.6 | −4.9 | −8 | −1 | −1.5 | −4.3 | −4.5 | −2.1 | 6.98 | 9 | 12.41 | 34.61 | 57.29 | 54.83 | 28.37 | −3.29 | −3.7 | −2.29 | −1.12 | −2.2 | 1.9 | 3.37 | 3.89 | 0.83 | 2 | 3.05 | 10 | 37.5 | 33.98 | 51.95 | 32.21 | 32.07 | −0.52 | −1.14 | −0.27 | −1.05 | −1.81 | −5.82 | −7.76 | −7.1 | −6.22 | −10.81 | 10.54 | 11 | 53.78 | 86.47 | 24.49 | 26.85 | 59.38 | 1.2 | 4.34 | 2.55 | 1.08 | 2.35 | −1.58 | −0.16 | 4.1 | 1.36 | 3.12 | 4.18 | 12 | 98.47 | 49.62 | 61.55 | 67.63 | 87.55 | 5.08 | 5.44 | 6.63 | 8.17 | 10.96 | 0.67 | 3.29 | 2.35 | 0.37 | 0.37 | 10.58 | 13 | 9.196 | 70.773 | 48.55 | 49.672 | 23.734 | −3.761 | −1.407 | −0.767 | −0.078 | −1.69 | 3.083 | 8.214 | 8.201 | 4.188 | 5.243 | 8.13 | 14 | 48.605 | 11.519 | 26.189 | 43.754 | 57.548 | 0.297 | −2.894 | −4.118 | −3.714 | −2.27 | −0.079 | 3.024 | 3.58 | 3.733 | 3.061 | 4.03 | 15 | 35.87 | 31.84 | 46.78 | 32.71 | 37.42 | −0.68 | −1.48 | −0.99 | −1.69 | −1.94 | −4.38 | −6.21 | −5.96 | −5.84 | −7.36 | 6.68 | 16 | 63.75 | 8.42 | 39.62 | 88.5 | 57.94 | 1.89 | −1.94 | −2.01 | 1.44 | 2.62 | 0.93 | 5.81 | 8.41 | 10.77 | 11.25 | 10.31 | 17 | 22.75 | 60.78 | 28.48 | 20.93 | 33.67 | −2.13 | −0.56 | −1.67 | −3.51 | −3.98 | −0.43 | 2.07 | 3.73 | 2.56 | 2.31 | 3.55 | 18 | 52.27 | 78.73 | 16.52 | 46.44 | 48.71 | 1.02 | 3.66 | 1 | 1.31 | 1.78 | −1.55 | −0.66 | 4.06 | 5.91 | 2.73 | 5.25 | 19 | 58.07 | 38.71 | 71.19 | 37.11 | 79.1 | 1.8 | 1.46 | 3.55 | 2.97 | 5.51 | −2.73 | −2.3 | −0.62 | 1.14 | 3.46 | 4.88 | 20 | 52.24 | 69.83 | 26.96 | 34.98 | 34.17 | 0.87 | 2.91 | 1.45 | 0.8 | 0.11 | −1.35 | −1.36 | 1.43 | 0.32 | −3.4 | 3.29 | 21 | 88.6 | 24.8 | 136.5 | 115.1 | 90.4 | 5 | 3.2 | 9.3 | 13.8 | 16.5 | −4.2 | 0.4 | 7.9 | 7.5 | 7.5 | 16.06 | 22 | 27.76 | 30.53 | 86.21 | 46.54 | 31.06 | −1.18 | −2.07 | 1.23 | 1.57 | 0.57 | 0.31 | −2.13 | 1.56 | 3.49 | 3.28 | 3.17 | 23 | 34.647 | 76.426 | 146.008 | 41.612 | 17.992 | 0.052 | 2.583 | 9.353 | 8.839 | 6.039 | 2.325 | 4.598 | 8.163 | 14.244 | 14.787 | 14.73 | 24 | 13 | 11.1 | 22.8 | 32.7 | 33.7 | −3.9 | −6.9 | −8.2 | −8.5 | −8.7 | −1 | −3.2 | −2.7 | −3.1 | −6.5 | 7.64 | 25 | 59.43 | 78.15 | 4.81 | 27.22 | 5.87 | 0.75 | 3.37 | −1.41 | −2.63 | −6.79 | 3.07 | 2.87 | 9.6 | 11.7 | 13.3 | 12.54 | 26 | 51.14 | 48.06 | 43.06 | 65.66 | 25.54 | 0.91 | 1.37 | 1.41 | 3.12 | 1.5 | −2.24 | −4.67 | −6.35 | −5.43 | −2.56 | 5.433 | 27 | 32.7 | 16.11 | 17.84 | 22.11 | 3.98 | −1.95 | −4.36 | −6.41 | −7.85 | −12.25 | 0.49 | 1.11 | −1.57 | −3.14 | −0.64 | 11.76 | 28 | 11.86 | 23.35 | 43.18 | 50.06 | 73.61 | −3.28 | −4.78 | −4.38 | −3.45 | −0.89 | 2.19 | 2.29 | 2.87 | 1.17 | 1.64 | 3.886 | 29 | 4.9 | 71.5 | 24.3 | 56.9 | 9.8 | −5.2 | −2.7 | −4.1 | −2.7 | −6 | 4.4 | 10.6 | 13.1 | 14.3 | 17.6 | 14.92 | 30 | 89.34 | 34.78 | 51.53 | 13.8 | 36.46 | 3.42 | 2.66 | 3.28 | 0.25 | −0.22 | 3.66 | 6.84 | 6.51 | 9.08 | 10.06 | 9.83 | 31 | 37.77 | 16.82 | 59.81 | 40.03 | 12.46 | −0.76 | −3.14 | −1.59 | −1.62 | −4.54 | −0.89 | 0.29 | 3.47 | 3.59 | 5.51 | 5.22 | 32 | 10.8 | 49.9 | 8 | 57.8 | 75 | −3.6 | −2.7 | −6.4 | −4.8 | −2 | 3.3 | 6.4 | 10 | 14 | 13 | 11.95 | 33 | 88.95 | 53.4 | 56.02 | 68.26 | 41.26 | 4.08 | 4.77 | 5.6 | 7.25 | 6.79 | 0.85 | 2.38 | −0.5 | −1.27 | −0.2 | 7.05 | 34 | 45.28 | 6.59 | 65.19 | 30.65 | 58.42 | 0.12 | −4.01 | −2.03 | −2.85 | −1.4 | −0.17 | 3.7 | 8.97 | 10.38 | 11.08 | 10.95 | 35 | 57.48 | 33 | 6.17 | 27.99 | 25.49 | 0.59 | −0.17 | −4.39 | −5.36 | −6.5 | 2.14 | 2.95 | 5.61 | 7.58 | 4.65 | 7.40 | 36 | 13.44 | 23.78 | 20.2 | 26.33 | 96.45 | −3.28 | −4.72 | −6.47 | −7.46 | −3.17 | 1.34 | 1.18 | −0.84 | −2.04 | 2.81 | 6.61 | 37 | 10.8 | 4.5 | 21.7 | 65.3 | 31.7 | −4.2 | −8.6 | −10 | −7.6 | −8 | 1 | 1.1 | 3.1 | 5.9 | 7.4 | 8.97 | 38 | 33.52 | 119.48 | 110.18 | 25.36 | 2.49 | −0.46 | 4.86 | 9.32 | 7.34 | 1.41 | 1.03 | 6.54 | 4.76 | 10.25 | 13.09 | 12.62 | 39 | 111.87 | 20.28 | 12.98 | 60.19 | 30.5 | 4.85 | 2.59 | −0.52 | 0.89 | −0.13 | 5.75 | 11.9 | 10.59 | 13.76 | 14.43 | 14.29 | 40 | 18.74 | 50.75 | 25.15 | 39.65 | 25.39 | −2.63 | −1.78 | −3.15 | −3.13 | −4.4 | 0.25 | 2.37 | 3.5 | 3.31 | 3.08 | 4.14 | 41 | 28.76 | 41.14 | 23.85 | 104.3 | 20.06 | −1.17 | −1.15 | −2.7 | 1.8 | −0.31 | 0.6 | 0.19 | 0.57 | 6.09 | 11.74 | 11.55 | 42 | 44.23 | 30.62 | 8.55 | 58.3 | 4.8 | −0.55 | −1.47 | −5.09 | −3.53 | −7.91 | 1.87 | 1.51 | 3.37 | 7.67 | 12.68 | 12.13 | 43 | 14.4 | 14.36 | 54.04 | 27.03 | 41.23 | −3.32 | −5.89 | −4.59 | −5.61 | −5.3 | 0.31 | −5.32 | −1.96 | −0.5 | −0.54 | 5.57 | 44 | 34.48 | 183.41 | 69.23 | 10.86 | 52.78 | 0.19 | 9.3 | 10.85 | 6.94 | 7.37 | 3.83 | 13.08 | 19.09 | 22.86 | 25.09 | 24.90 | 45 | 19.69 | 24.96 | 10.02 | 97.08 | 32.18 | −2.46 | −3.83 | −7.04 | −2.75 | −3.37 | 0.99 | −0.5 | 0.42 | 7.36 | 11.15 | 10.73 | 46 | 71.24 | 53.7 | 59.17 | 25.16 | 10.36 | 2.15 | 2.97 | 4.14 | 2.42 | −1.11 | 1.55 | 1.36 | −0.63 | 1.43 | 2.19 | 3.50 | 47 | 50.3 | 7.8 | 69.5 | 63.8 | 80 | 1 | −2.9 | −0.7 | 1 | 3.8 | −4.6 | −0.3 | 5.3 | 3.1 | 2.5 | 4.95 | 48 | 56.22 | 29.3 | 117.62 | 50.95 | 27.29 | 1.58 | 0.42 | 5.57 | 5.99 | 4.37 | −1.9 | −0.55 | 5.35 | 8.98 | 9.47 | 9.05 | 49 | 24.66 | 74.53 | 64.5 | 14.03 | 77.6 | −1.3 | 1.18 | 2.84 | −0.11 | 2.49 | 2.2 | 5.42 | 3.96 | 7.7 | 12.21 | 12.09 | 50 | 74.3 | 99.2 | 21.5 | 39.2 | 127.2 | 3.4 | 7.2 | 4.9 | 4.4 | 9.9 | −1 | −0.5 | 5 | 5.3 | 10.5 | 10.02 |
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