Journal of Mathematics / 2022 / Article / Tab 4 / Research Article
Max-EWMA Chart Using Beta and Unit Nadarajah and Haghighi Distributions Table 4 ARL results of the Max-EWMA control chart for a pure shift in the shape 1 parameter of beta distribution (
(1.0, 1.1, 1.2, 1.3, 1.4, 0.9, 0.8, 0.7, 0.6, 0.5),
) when
, , , , , , and
(0.05, 0.10, 0.15).
= 370 = 500 Case 1 = 290 0.05 2.688 0.1811987 0.0092639 1.00 1.00 370.573 357.498 53.00 118.00 261.00 501.00 831.00 2.893 500.062 482.891 66.00 154.00 349.00 688.00 1135.00 0.05 0.1811987 0.0092639 1.10 1.00 20.497 9.945 10.00 13.00 18.00 25.00 34.00 2.893 21.800 10.600 11.00 14.00 20.00 27.00 36.00 0.05 0.1811987 0.0092639 1.20 1.00 8.723 2.776 6.00 7.00 8.00 10.00 12.00 2.893 9.244 2.925 6.00 7.00 9.00 11.00 13.00 0.05 0.1811987 0.0092639 1.30 1.00 5.714 1.450 4.00 5.00 6.00 7.00 8.00 2.893 6.007 1.511 4.00 5.00 6.00 7.00 8.00 0.05 0.1811987 0.0092639 1.40 1.00 4.322 0.953 3.00 4.00 4.00 5.00 6.00 2.893 4.517 0.985 3.00 4.00 4.00 5.00 6.00 0.05 0.1811987 0.0092639 0.90 1.00 19.242 8.712 10.00 13.00 18.00 23.00 31.00 2.893 20.507 9.266 11.00 14.00 18.00 25.00 33.00 0.05 0.1811987 0.0092639 0.80 1.00 7.959 2.249 5.00 6.00 8.00 9.00 11.00 2.893 8.328 2.303 6.00 7.00 8.00 10.00 11.00 0.05 0.1811987 0.0092639 0.70 1.00 4.993 1.059 4.00 4.00 5.00 6.00 6.00 2.893 5.246 1.079 4.00 4.00 5.00 6.00 7.00 0.05 0.1811987 0.0092639 0.60 1.00 3.689 0.657 3.00 3.00 4.00 4.00 4.00 2.893 3.830 0.674 3.00 3.00 4.00 4.00 5.00 0.05 0.1811987 0.0092639 0.50 1.00 2.965 0.428 2.00 3.00 3.00 3.00 3.00 2.893 3.070 0.408 3.00 3.00 3.00 3.00 4.00 0.10 3.016 0.2591350 0.0188482 1.00 1.00 371.465 363.243 47.00 113.00 257.00 516.00 844.10 3.203 499.944 506.414 61.00 147.00 341.00 683.00 1137.10 0.10 0.2591350 0.0188482 1.10 1.00 20.489 12.492 8.00 12.00 17.00 26.00 36.00 3.203 22.249 14.039 9.00 13.00 19.00 28.00 40.00 0.10 0.2591350 0.0188482 1.20 1.00 7.612 2.972 4.00 6.00 7.00 9.00 11.00 3.203 7.945 3.014 5.00 6.00 7.00 10.00 12.00 0.10 0.2591350 0.0188482 1.30 1.00 4.760 1.437 3.00 4.00 5.00 6.00 7.00 3.203 4.955 1.511 3.00 4.00 5.00 6.00 7.00 0.10 0.2591350 0.0188482 1.40 1.00 3.557 0.915 3.00 3.00 3.00 4.00 5.00 3.203 3.697 0.951 3.00 3.00 4.00 4.00 5.00 0.10 0.2591350 0.0188482 0.90 1.00 19.063 11.144 8.00 11.00 16.00 24.00 33.00 3.203 20.856 12.290 9.00 12.00 18.00 26.00 37.00 0.10 0.2591350 0.0188482 0.80 1.00 6.787 2.308 4.00 5.00 6.00 8.00 10.00 3.203 7.109 2.389 4.00 5.00 7.00 8.00 10.00 0.10 0.2591350 0.0188482 0.70 1.00 4.133 1.038 3.00 3.00 4.00 5.00 5.00 3.203 4.313 1.059 3.00 4.00 4.00 5.00 6.00 0.10 0.2591350 0.0188482 0.60 1.00 2.998 0.625 2.00 3.00 3.00 3.00 4.00 3.203 3.113 0.638 2.00 3.00 3.00 3.00 4.00 0.10 0.2591350 0.0188482 0.50 1.00 2.337 0.483 2.00 2.00 2.00 3.00 3.00 3.203 2.415 0.507 2.00 2.00 2.00 3.00 3.00 0.15 3.194 0.3222067 0.0286625 1.00 1.00 370.018 367.745 41.00 107.00 255.00 514.00 841.00 3.375 500.824 493.943 56.00 148.00 350.00 692.00 1147.00 0.15 0.3222067 0.0286625 1.10 1.00 22.213 15.778 7.00 11.00 18.00 29.00 43.00 3.375 24.476 17.863 8.00 12.00 19.00 32.00 48.00 0.15 0.3222067 0.0286625 1.20 1.00 7.266 3.261 4.00 5.00 7.00 9.00 11.00 3.375 7.589 3.384 4.00 5.00 7.00 9.00 12.00 0.15 0.3222067 0.0286625 1.30 1.00 4.376 1.482 3.00 3.00 4.00 5.00 6.00 3.375 4.519 1.535 3.00 3.00 4.00 5.00 7.00 0.15 0.3222067 0.0286625 1.40 1.00 3.198 0.935 2.00 3.00 3.00 4.00 4.00 3.375 3.317 0.951 2.00 3.00 3.00 4.00 5.00 0.15 0.3222067 0.0286625 0.90 1.00 21.465 14.628 8.00 11.00 17.00 27.00 41.00 3.375 23.526 16.402 8.00 12.00 19.00 30.00 45.00 0.15 0.3222067 0.0286625 0.80 1.00 6.400 2.508 4.00 5.00 6.00 8.00 10.00 3.375 6.762 2.657 4.00 5.00 6.00 8.00 10.00 0.15 0.3222067 0.0286625 0.70 1.00 3.727 1.067 3.00 3.00 4.00 4.00 5.00 3.375 3.868 1.096 3.00 3.00 4.00 4.00 5.00 0.15 0.3222067 0.0286625 0.60 1.00 2.661 0.632 2.00 2.00 3.00 3.00 3.00 3.375 2.757 0.651 2.00 2.00 3.00 3.00 4.00 0.15 0.3222067 0.0286625 0.50 1.00 2.119 0.337 2.00 2.00 2.00 2.00 3.00 3.375 2.172 0.385 2.00 2.00 2.00 2.00 3.00 Case 2 = 148 0.05 2.701 0.1807278 0.0092167 1.00 1.00 370.295 350.597 52.00 115.00 261.00 505.00 845.10 2.897 500.204 481.986 67.00 155.00 349.00 696.00 1126.10 0.05 0.1807278 0.0092167 1.10 1.00 33.151 20.160 13.00 19.00 28.00 42.00 59.00 2.897 36.000 21.653 15.00 21.00 31.00 46.00 63.00 0.05 0.1807278 0.0092167 1.20 1.00 13.155 5.241 7.00 9.00 12.00 16.00 20.00 2.897 13.754 5.333 8.00 10.00 13.00 17.00 21.00 0.05 0.1807278 0.0092167 1.30 1.00 8.283 2.609 5.00 6.00 8.00 10.00 12.00 2.897 8.633 2.656 6.00 7.00 8.00 10.00 12.00 0.05 0.1807278 0.0092167 1.40 1.00 6.116 1.661 4.00 5.00 6.00 7.00 8.00 2.897 6.382 1.689 4.00 5.00 6.00 7.00 9.00 0.05 0.1807278 0.0092167 0.90 1.00 31.485 17.952 14.00 19.00 27.00 39.00 54.00 2.897 34.113 19.648 15.00 20.00 29.00 43.00 59.00 0.05 0.1807278 0.0092167 0.80 1.00 11.810 4.083 7.00 9.00 11.00 14.00 17.00 2.897 12.390 4.236 8.00 9.00 12.00 15.00 18.00 0.05 0.1807278 0.0092167 0.70 1.00 7.176 1.863 5.00 6.00 7.00 8.00 10.00 2.897 7.518 1.909 5.00 6.00 7.00 9.00 10.00 0.05 0.1807278 0.0092167 0.60 1.00 5.110 1.053 4.00 4.00 5.00 6.00 6.00 2.897 5.351 1.098 4.00 5.00 5.00 6.00 7.00 0.05 0.1807278 0.0092167 0.50 1.00 4.006 0.711 3.00 4.00 4.00 4.00 5.00 2.897 4.159 0.725 3.00 4.00 4.00 5.00 5.00 0.10 3.026 0.2588440 0.0187933 1.00 1.00 370.310 356.600 45.00 110.00 259.00 508.25 837.00 3.216 500.482 483.140 61.00 152.00 355.00 690.25 1127.10 0.10 0.2588440 0.0187933 1.10 1.00 36.418 27.318 11.00 17.00 29.00 47.00 72.00 3.216 40.942 31.192 12.00 19.00 32.00 53.00 81.00 0.10 0.2588440 0.0187933 1.20 1.00 12.001 5.867 6.00 8.00 11.00 15.00 20.00 3.216 12.946 6.396 6.00 8.00 12.00 16.00 21.00 0.10 0.2588440 0.0187933 1.30 1.00 7.101 2.670 4.00 5.00 7.00 9.00 11.00 3.216 7.527 2.788 4.00 6.00 7.00 9.00 11.00 0.10 0.2588440 0.0187933 1.40 1.00 5.137 1.627 3.00 4.00 5.00 6.00 7.00 3.216 5.382 1.718 3.00 4.00 5.00 6.00 8.00 0.10 0.2588440 0.0187933 0.90 1.00 34.914 24.991 12.00 17.00 28.00 46.00 67.00 3.216 39.984 29.198 13.00 19.00 32.00 52.00 78.00 0.10 0.2588440 0.0187933 0.80 1.00 10.632 4.577 6.00 7.00 10.00 13.00 17.00 3.216 11.310 4.998 6.00 8.00 10.00 14.00 18.00 0.10 0.2588440 0.0187933 0.70 1.00 6.045 1.881 4.00 5.00 6.00 7.00 9.00 3.216 6.333 1.952 4.00 5.00 6.00 7.00 9.00 0.10 0.2588440 0.0187933 0.60 1.00 4.237 1.047 3.00 4.00 4.00 5.00 6.00 3.216 4.420 1.088 3.00 4.00 4.00 5.00 6.00 0.10 0.2588440 0.0187933 0.50 1.00 3.287 0.663 3.00 3.00 3.00 4.00 4.00 3.216 3.408 0.682 3.00 3.00 3.00 4.00 4.00 0.15 3.219 0.3210252 0.0284260 1.00 1.00 370.938 365.482 45.00 112.00 262.00 514.00 833.10 3.402 500.240 496.316 57.00 150.00 350.00 683.00 1147.10 0.15 0.3210252 0.0284260 1.10 1.00 41.766 34.066 10.00 17.00 32.00 56.00 86.00 3.402 47.708 40.188 11.00 19.00 36.00 63.00 98.00 0.15 0.3210252 0.0284260 1.20 1.00 12.227 7.092 5.00 7.00 10.00 15.00 22.00 3.402 13.018 7.696 6.00 8.00 11.00 16.00 23.00 0.15 0.3210252 0.0284260 1.30 1.00 6.734 2.941 4.00 5.00 6.00 8.00 11.00 3.402 7.139 3.121 4.00 5.00 7.00 9.00 11.00 0.15 0.3210252 0.0284260 1.40 1.00 4.759 1.733 3.00 4.00 4.00 6.00 7.00 3.402 4.913 1.783 3.00 4.00 5.00 6.00 7.00 0.15 0.3210252 0.0284260 0.90 1.00 43.260 35.784 11.00 18.00 33.00 57.00 88.00 3.402 50.537 41.255 13.00 21.00 38.00 68.00 106.00 0.15 0.3210252 0.0284260 0.80 1.00 10.757 5.431 5.00 7.00 9.00 13.00 18.00 3.402 11.483 5.953 6.00 7.00 10.00 14.00 19.00 0.15 0.3210252 0.0284260 0.70 1.00 5.637 1.994 3.00 4.00 5.00 7.00 8.00 3.402 5.920 2.109 4.00 4.00 5.00 7.00 9.00 0.15 0.3210252 0.0284260 0.60 1.00 3.831 1.032 3.00 3.00 4.00 4.00 5.00 3.402 3.998 1.089 3.00 3.00 4.00 5.00 5.00 0.15 0.3210252 0.0284260 0.50 1.00 2.918 0.689 2.00 2.00 3.00 3.00 4.00 3.402 3.041 0.703 2.00 3.00 3.00 3.00 4.00 Case 3 = 80 0.05 2.686 0.1809939 0.0093239 1.00 1.00 370.896 357.014 53.00 116.00 262.00 503.00 846.00 2.880 500.104 488.094 67.00 157.00 349.00 672.00 1140.00 0.05 0.1809939 0.0093239 1.10 1.00 52.660 36.883 18.00 26.00 43.00 68.00 102.00 2.880 58.505 42.080 19.00 29.00 47.00 75.00 112.00 0.05 0.1809939 0.0093239 1.20 1.00 19.528 9.415 10.00 13.00 18.00 24.00 32.00 2.880 20.817 10.053 10.00 14.00 19.00 26.00 34.00 0.05 0.1809939 0.0093239 1.30 1.00 11.904 4.557 7.00 9.00 11.00 14.00 18.00 2.880 12.490 4.635 7.00 9.00 12.00 15.00 19.00 0.05 0.1809939 0.0093239 1.40 1.00 8.635 2.798 5.00 7.00 8.00 10.00 12.00 2.880 9.037 2.829 6.00 7.00 9.00 11.00 13.00 0.05 0.1809939 0.0093239 0.90 1.00 50.404 34.281 18.00 26.00 41.00 65.00 95.00 2.880 56.610 38.762 20.00 29.00 46.00 72.00 106.00 0.05 0.1809939 0.0093239 0.80 1.00 17.520 7.523 10.00 12.00 16.00 21.00 27.00 2.880 18.577 7.850 10.00 13.00 17.00 22.00 29.00 0.05 0.1809939 0.0093239 0.70 1.00 10.190 3.149 7.00 8.00 10.00 12.00 14.00 2.880 10.690 3.288 7.00 8.00 10.00 12.00 15.00 0.05 0.1809939 0.0093239 0.60 1.00 7.114 1.742 5.00 6.00 7.00 8.00 9.00 2.880 7.429 1.797 5.00 6.00 7.00 8.00 10.00 0.05 0.1809939 0.0093239 0.50 1.00 5.452 1.102 4.00 5.00 5.00 6.00 7.00 2.880 5.697 1.139 4.00 5.00 6.00 6.00 7.00 0.10 3.015 0.2595725 0.0188190 1.00 1.00 370.785 365.286 46.00 111.00 259.00 509.00 845.00 3.204 499.594 484.227 62.00 152.00 343.00 694.00 1148.00 0.10 0.2595725 0.0188190 1.10 1.00 61.414 51.628 15.00 25.00 46.00 82.00 130.00 3.204 71.016 61.371 16.00 28.00 52.00 95.00 153.00 0.10 0.2595725 0.0188190 1.20 1.00 19.368 12.012 8.00 11.00 16.00 25.00 35.00 3.204 21.013 12.980 8.00 12.00 18.00 26.00 38.00 0.10 0.2595725 0.0188190 1.30 1.00 10.667 4.931 5.00 7.00 10.00 13.00 17.00 3.204 11.377 5.377 6.00 7.00 10.00 14.00 18.00 0.10 0.2595725 0.0188190 1.40 1.00 7.496 2.916 4.00 5.00 7.00 9.00 11.00 3.204 7.836 3.026 5.00 6.00 7.00 9.00 12.00 0.10 0.2595725 0.0188190 0.90 1.00 63.918 53.036 16.00 26.00 48.00 85.00 134.00 3.204 74.895 62.857 18.00 30.00 57.00 100.00 154.00 0.10 0.2595725 0.0188190 0.80 1.00 17.055 9.107 8.00 11.00 15.00 21.00 29.00 3.204 18.529 10.135 8.00 11.00 16.00 23.00 32.00 0.10 0.2595725 0.0188190 0.70 1.00 8.955 3.417 5.00 7.00 8.00 11.00 13.00 3.204 9.472 3.674 6.00 7.00 9.00 11.00 14.00 0.10 0.2595725 0.0188190 0.60 1.00 6.015 1.818 4.00 5.00 6.00 7.00 8.00 3.204 6.251 1.823 4.00 5.00 6.00 7.00 9.00 0.10 0.2595725 0.0188190 0.50 1.00 4.499 1.083 3.00 4.00 4.00 5.00 6.00 3.204 4.685 1.111 3.00 4.00 5.00 5.00 6.00 0.15 3.209 0.3224310 0.0286744 1.00 1.00 370.858 370.921 42.00 107.00 253.00 520.00 860.00 3.387 499.567 501.873 55.00 145.00 340.00 687.00 1140.00 0.15 0.3224310 0.0286744 1.10 1.00 71.854 65.318 14.00 26.00 52.00 97.00 155.00 3.387 83.077 75.148 16.00 30.00 60.00 114.00 182.10 0.15 0.3224310 0.0286744 1.20 1.00 20.879 14.910 7.00 11.00 17.00 27.00 40.00 3.387 23.097 16.400 8.00 12.00 19.00 30.00 45.00 0.15 0.3224310 0.0286744 1.30 1.00 10.662 5.898 5.00 6.00 9.00 13.00 18.00 3.387 11.342 6.212 5.00 7.00 10.00 14.00 19.00 0.15 0.3224310 0.0286744 1.40 1.00 7.125 3.232 4.00 5.00 6.00 9.00 11.00 3.387 7.484 3.345 4.00 5.00 7.00 9.00 12.00 0.15 0.3224310 0.0286744 0.90 1.00 86.441 79.014 16.00 31.00 62.00 116.00 190.00 3.387 108.979 99.566 20.00 38.00 79.00 148.00 239.00 0.15 0.3224310 0.0286744 0.80 1.00 19.044 12.355 8.00 10.75 16.00 24.00 35.00 3.387 20.780 13.674 8.00 11.00 17.00 27.00 38.10 0.15 0.3224310 0.0286744 0.70 1.00 8.857 4.008 5.00 6.00 8.00 11.00 14.00 3.387 9.304 4.186 5.00 6.00 8.00 11.00 15.00 0.15 0.3224310 0.0286744 0.60 1.00 5.597 1.894 4.00 4.00 5.00 7.00 8.00 3.387 5.908 2.042 4.00 4.00 6.00 7.00 9.00 0.15 0.3224310 0.0286744 0.50 1.00 4.110 1.118 3.00 3.00 4.00 5.00 6.00 3.387 4.262 1.155 3.00 3.00 4.00 5.00 6.00 Case 4 = 31 0.05 2.709 0.1808844 0.0091702 1.00 1.00 370.573 355.747 52.00 118.00 258.00 506.00 833.10 2.910 500.242 483.733 66.00 155.00 351.00 690.00 1129.00 0.05 0.1808844 0.0091702 1.10 1.00 101.977 84.089 25.00 42.00 78.00 137.00 210.00 2.910 119.702 101.603 28.00 48.00 90.00 160.00 250.00 0.05 0.1808844 0.0091702 1.20 1.00 38.170 24.298 14.00 21.00 32.00 49.00 71.00 2.910 41.219 26.352 16.00 23.00 35.00 52.00 75.00 0.05 0.1808844 0.0091702 1.30 1.00 21.614 10.917 10.00 14.00 19.00 27.00 36.00 2.910 23.317 12.021 11.00 15.00 21.00 29.00 39.00 0.05 0.1808844 0.0091702 1.40 1.00 15.212 6.573 8.00 11.00 14.00 19.00 24.00 2.910 16.245 7.008 9.00 11.00 15.00 20.00 25.00 0.05 0.1808844 0.0091702 0.90 1.00 108.083 89.337 27.00 45.00 82.00 143.00 223.00 2.910 130.556 111.300 32.00 53.00 97.00 172.00 273.00 0.05 0.1808844 0.0091702 0.80 1.00 34.318 19.081 15.00 21.00 29.00 43.00 60.00 2.910 37.397 21.542 16.00 22.00 32.00 47.00 66.00 0.05 0.1808844 0.0091702 0.70 1.00 18.313 7.697 10.00 13.00 17.00 22.00 28.00 2.910 19.452 7.949 11.00 14.00 18.00 23.00 30.00 0.05 0.1808844 0.0091702 0.60 1.00 12.256 4.006 8.00 9.00 12.00 14.00 18.00 2.910 12.858 4.142 8.00 10.00 12.00 15.00 18.00 0.05 0.1808844 0.0091702 0.50 1.00 9.071 2.421 6.00 7.00 9.00 10.00 12.00 2.910 9.597 2.530 7.00 8.00 9.00 11.00 13.00 0.10 3.027 0.2591139 0.0188166 1.00 1.00 370.751 370.783 45.00 113.00 258.00 509.00 835.00 3.220 501.537 499.124 60.00 151.00 346.00 685.00 1157.00 0.10 0.2591139 0.0188166 1.10 1.00 116.174 106.929 21.00 40.00 84.00 157.00 256.00 3.220 143.176 130.071 25.00 49.00 103.00 195.00 314.00 0.10 0.2591139 0.0188166 1.20 1.00 42.306 33.234 12.00 19.00 33.00 55.00 85.00 3.220 47.451 37.847 13.00 21.00 36.00 62.00 96.00 0.10 0.2591139 0.0188166 1.30 1.00 21.906 14.391 8.00 12.00 18.00 28.00 40.00 3.220 23.877 15.716 9.00 13.00 20.00 31.00 44.00 0.10 0.2591139 0.0188166 1.40 1.00 14.369 7.924 6.00 9.00 13.00 18.00 24.00 3.220 15.363 8.379 7.00 9.00 13.00 19.00 26.00 0.10 0.2591139 0.0188166 0.90 1.00 159.172 148.183 28.00 56.00 114.00 212.00 354.00 3.220 206.475 194.564 34.00 69.00 145.00 282.25 461.00 0.10 0.2591139 0.0188166 0.80 1.00 40.732 30.171 13.00 20.00 32.00 52.00 79.00 3.220 47.318 35.772 15.00 22.00 37.00 61.00 93.00 0.10 0.2591139 0.0188166 0.70 1.00 18.353 9.870 9.00 11.00 16.00 23.00 31.00 3.220 20.196 11.091 9.00 12.00 18.00 25.00 34.00 0.10 0.2591139 0.0188166 0.60 1.00 11.184 4.674 6.00 8.00 10.00 13.00 17.00 3.220 11.870 4.867 7.00 8.00 11.00 14.00 18.00 0.10 0.2591139 0.0188166 0.50 1.00 7.934 2.609 5.00 6.00 7.00 9.00 11.00 3.220 8.337 2.738 5.00 6.00 8.00 10.00 12.00 0.15 3.238 0.3214631 0.0286840 1.00 1.00 370.579 357.945 45.00 114.00 262.00 518.25 838.00 3.424 501.896 497.806 59.90 149.00 347.50 693.00 1160.10 0.15 0.3214631 0.0286840 1.10 1.00 132.114 125.934 20.00 44.00 94.00 179.00 295.00 3.424 160.741 152.894 24.00 52.00 113.00 223.00 358.00 0.15 0.3214631 0.0286840 1.20 1.00 48.284 41.816 11.00 19.00 36.00 64.00 102.00 3.424 55.782 48.756 12.00 22.00 41.00 75.00 118.00 0.15 0.3214631 0.0286840 1.30 1.00 24.110 18.049 8.00 12.00 19.00 31.00 47.00 3.424 26.600 20.014 8.00 12.00 21.00 35.00 53.00 0.15 0.3214631 0.0286840 1.40 1.00 14.832 9.530 6.00 8.00 12.00 19.00 27.00 3.424 16.173 10.273 6.00 9.00 13.50 21.00 30.00 0.15 0.3214631 0.0286840 0.90 1.00 241.193 233.256 34.00 75.00 168.00 331.00 549.00 3.424 337.410 327.261 45.00 103.00 236.00 465.00 760.00 0.15 0.3214631 0.0286840 0.80 1.00 56.869 48.108 14.00 23.00 42.00 75.00 119.00 3.424 70.413 61.358 16.00 27.00 51.50 94.00 150.10 0.15 0.3214631 0.0286840 0.70 1.00 21.286 13.848 8.00 12.00 18.00 27.00 39.00 3.424 23.810 15.638 9.00 13.00 19.00 30.00 45.00 0.15 0.3214631 0.0286840 0.60 1.00 11.592 5.758 6.00 8.00 10.00 14.00 19.00 3.424 12.510 6.230 6.00 8.00 11.00 15.00 21.00 0.15 0.3214631 0.0286840 0.50 1.00 7.690 2.959 5.00 6.00 7.00 9.00 12.00 3.424 8.208 3.203 5.00 6.00 7.00 10.00 12.00