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   PPENDIXES Appendix A-1 Cumulative Binomial distribution Appendix A-2 Cumulative Poisson distribution Appendix A-3 Cumulative standard normal distribution Appendix A-4 Values of  t  for a specified right-tail area Appendix A-5 Chi-squared values for a specified right-tail area Appendix A-6 Values of  F  for a specified right-tail area Appendix A-7 Factors for computing center line and three-sigma control limits Appendix A-8 Uniform random numbers APPENDIX A l n 2 3 4 5 6 X 0 1 0 1 2 0 1 2 3 0 1 2 3 4 0 1 2 3 4 5 0.05 0.903 0.998 0.857 0.993 1.000 0.815 0.986 1.000 0.774 0.977 0.999 1.000 0.735 0.967 0.998 1.000 Cumulative Binomial Distribution 0.10 0.810 0.990 0.729 0.972 0.999 0.656 0.948 0.996 1.000 0.590 0.919 0.991 1.000 0.531 0.886 0.984 0.999 1.000 0.15 0.723 0.978 0.614 0.939 0.997 0.522 0.890 0.988 0.999 0.444 0.835 0.973 0.998 1.000 0.377 0.776 0.953 0.994 1.000 P = 0.20 0.640 0.960 0.512 0.896 0.992 0.410 0.819 0.973 0.998 0.328 0.737 0.942 0.993 1.000 0.262 0.655 0.901 0.983 0.998 1.000 Fundamentals  of  Quality  Control  and  Improvement Copyright  ©  2008 John Wiley   Sons Inc Probability  of  Occurrence 0.25 0.563 0.938 0.422 0.844 0.984 0.316 0.738 0.949 0.996 0.237 0.633 0.896 0.984 0.999 0.178 0.534 0.831 0.962 0.995 1.000 0.30 0.490 0.910 0.343 0.784 0.973 0.240 0.652 0.916 0.992 0.168 0.528 0.837 0.969 0.998 0.118 0.420 0.744 0.930 0.989 0.999 0.35 0.423 0.878 0.275 0.718 0.957 0.179 0.563 0.874 0.985 0.116 0.428 0.765 0.946 0.995 0.075 0.319 0.647 0.883 0.978 0.998 0.40 0.360 0.840 0.216 0.648 0.936 0.130 0.475 0.821 0.974 0.078 0.337 0.683 0.913 0.990 0.047 0.233 0.544 0.821 0.959 0.996 Third  Edition By  Amitava Mitra 0.45 0.303 0.798 0.166 0.575 0.909 0.092 0.391 0.759 0.959 0.050 0.256 0.593 0.869 0.982 0.028 0.164 0.442 0.745 0.931 0.992 0.50 0.250 0.750 0.125 0.500 0.875 0.063 0.313 0.688 0.938 0.031 0.188 0.500 0.813 0.969 0.016 0.109 0.344 0.656 0.891 0.984  APPENDIX  A-l n  X 7  0 1 2 3 4 5 6 8  0 1 2 3 4 5 6 7 9  0 1 2 3 4 5 6 7 8 10  0 1 2 3 4 5 6 7 8 9 11  0 1 2 3 4 5 6 7 8 9 10 12  0 1 2 3 0.05 0.698 0.956 0.996 1.000 0.663 0.943 0.994 1.000 0.630 0.929 0.992 0.999 1.000 0.599 0.914 0.988 0.999 1.000 0.569 0.898 0.985 0.998 1.000 0.540 0.882 0.980 0.998 continued) 0.10 0.478 0.850 0.974 0.997 1.000 0.430 0.813 0.962 0.995 1.000 0.387 0.775 0.947 0.992 0.999 1.000 0.349 0.736 0.930 0.987 0.998 1.000 0.314 0.697 0.910 0.981 0.997 1.000 0.282 0.659 0.889 0.974 0.15 0.321 0.717 0.926 0.988 0.999 1.000 0.272 0.657 0.895 0.979 0.997 1.000 0.232 0.599 0.859 0.966 0.994 0.999 1.000 0.197 0.544 0.820 0.950 0.990 0.999 1.000 0.167 0.492 0.779 0.931 0.984 0.997 1.000 0.142 0.443 0.736 0.908 P  = 0.20 0.210 0.577 0.852 0.967 0.995 1.000 0.168 0.503 0.797 0.944 0.990 0.999 1.000 0.134 0.436 0.738 0.914 0.980 0.997 1.000 0.107 0.376 0.678 0.879 0.967 0.994 0.999 1.000 0.086 0.322 0.617 0.839 0.950 0.988 0.998 1.000 0.069 0.275 0.558 0.795 Probability 0.25 0.133 0.445 0.756 0.929 0.987 0.999 1.000 0.100 0.367 0.679 0.886 0.973 0.996 1.000 0.075 0.300 0.601 0.834 0.951 0.990 0.999 1.000 0.056 0.244 0.526 0.776 0.922 0.980 0.996 1.000 0.042 0.197 0.455 0.713 0.885 0.966 0.992 0.999 1.000 0.032 0.158 0.391 0.649 of  Occurrence 0.30 0.082 0.329 0.647 0.874 0.971 0.996 1.000 0.058 0.255 0.552 0.806 0.942 0.989 0.999 1.000 0.040 0.196 0.463 0.730 0.901 0.975 0.996 1.000 0.028 0.149 0.383 0.650 0.850 0.953 0.989 0.998 1.000 0.020 0.113 0.313 0.570 0.790 0.922 0.978 0.996 0.999 1.000 0.014 0.085 0.253 0.493 0.35 0.049 0.234 0.532 0.800 0.944 0.991 0.999 0.032 0.169 0.428 0.706 0.894 0.975 0.996 1.000 0.021 0.121 0.337 0.609 0.828 0.946 0.989 0.999 1.000 0.013 0.086 0.262 0.514 0.751 0.905 0.974 0.995 0.999 1.000 0.009 0.061 0.200 0.426 0.668 0.851 0.950 0.988 0.998 1.000 0.006 0.042 0.151 0.347 0.40 0.028 0.159 0.420 0.710 0.904 0.981 0.998 0.017 0.106 0.315 0.594 0.826 0.950 0.991 0.999 0.010 0.071 0.232 0.483 0.733 0.901 0.975 0.996 1.000 0.006 0.046 0.167 0.382 0.633 0.834 0.945 0.988 0.998 1.000 0.004 0.030 0.119 0.296 0.533 0.753 0.901 0.971 0.994 0.999 1.000 0.002 0.020 0.083 0.225 0.45 0.015 0.102 0.316 0.608 0.847 0.964 0.996 0.008 0.063 0.220 0.477 0.740 0.912 0.982 0.998 0.005 0.039 0.150 0.361 0.621 0.834 0.950 0.991 0.999 0.003 0.023 0.100 0.266 0.504 0.738 0.898 0.973 0.995 1.000 0.001 0.014 0.065 0.191 0.397 0.633 0.826 0.939 0.985 0.998 1.000 0.001 0.008 0.042 0.134 0.50 0.008 0.063 0.227 0.500 0.773 0.938 0.992 0.004 0.035 0.145 0.363 0.637 0.855 0.965 0.996 0.002 0.020 0.090 0.254 0.500 0.746 0.910 0.980 0.998 0.001 0.011 0.055 0.172 0.377 0.623 0.828 0.945 0.989 0.999 0.000 0.006 0.033 0.113 0.274 0.500 0.726 0.887 0.967 0.994 1.000 0.000 0.003 0.019 0.073  APPENDIX  A-l n  X 4 5 6 7 8 9 10 11 13  0 1 2 3 4 5 6 7 8 9 10 11 12 14  0 1 2 3 4 5 6 7 8 9 10 11 12 13 15  0 1 2 3 4 5 6 7 8 9 10 11 12 13 0.05 1.000 0.513 0.865 0.975 0.997 1.000 0.488 0.847 0.970 0.996 1.000 0.463 0.829 0.964 0.995 0.999 1.000 continued) 0.10 0.996 0.999 1.000 0.254 0.621 0.866 0.966 0.994 0.999 1.000 0.229 0.585 0.842 0.956 0.991 0.999 1.000 0.206 0.549 0.816 0.944 0.987 0.998 1.000 0.15 0.976 0.995 0.999 1.000 0.121 0.398 0.692 0.882 0.966 0.992 0.999 1.000 0.103 0.357 0.648 0.853 0.953 0.988 0.998 1.000 0.087 0.319 0.604 0.823 0.938 0.983 0.996 0.999 1.000 P = 0.20 0.927 0.981 0.996 0.999 1.000 0.055 0.234 0.502 0.747 0.901 0.970 0.993 0.999 1.000 0.044 0.198 0.448 0.698 0.870 0.956 0.988 0.998 1.000 0.035 0.167 0.398 0.648 0.836 0.939 0.982 0.996 0.999 1.000 Probability 0.25 0.842 0.946 0.986 0.997 1.000 0.024 0.127 0.333 0.584 0.794 0.920 0.976 0.994 0.999 1.000 0.018 0.101 0.281 0.521 0.742 0.888 0.962 0.990 0.998 1.000 0.013 0.080 0.236 0.461 0.686 0.852 0.943 0.983 0.996 0.999 1.000 of  Occurrence 0.30 0.724 0.882 0.961 0.991 0.998 1.000 0.010 0.064 0.202 0.421 0.654 0.835 0.938 0.982 0.996 0.999 1.000 0.007 0.047 0.161 0.355 0.584 0.781 0.907 0.969 0.992 0.998 1.000 0.005 0.035 0.127 0.297 0.515 0.722 0.869 0.950 0.985 0.996 0.999 1.000 0.35 0.583 0.787 0.915 0.974 0.994 0.999 1.000 0.004 0.030 0.113 0.278 0.501 0.716 0.871 0.954 0.987 0.997 1.000 0.002 0.021 0.084 0.220 0.423 0.641 0.816 0.925 0.976 0.994 0.999 1.000 0.002 0.014 0.062 0.173 0.352 0.564 0.755 0.887 0.958 0.988 0.997 1.000 0.40 0.438 0.665 0.842 0.943 0.985 0.997 1.000 0.001 0.013 0.058 0.169 0.353 0.574 0.771 0.902 0.968 0.992 0.999 1.000 0.001 0.008 0.040 0.124 0.279 0.486 0.692 0.850 0.942 0.982 0.996 0.999 1.000 0.000 0.005 0.027 0.091 0.217 0.403 0.610 0.787 0.905 0.966 0.991 0.998 1.000 0.45 0.304 0.527 0.739 0.888 0.964 0.992 0.999 1.000 0.000 0.005 0.027 0.093 0.228 0.427 0.644 0.821 0.930 0.980 0.996 0.999 1.000 0.000 0.003 0.017 0.063 0.167 0.337 0.546 0.741 0.881 0.957 0.989 0.998 1.000 0.000 0.002 0.011 0.042 0.120 0.261 0.452 0.654 0.818 0.923 0.975 0.994 0.999 1.000 0.50 0.194 0.387 0.613 0.806 0.927 0.981 0.997 1.000 0.000 0.002 0.011 0.046 0.133 0.291 0.500 0.709 0.867 0.954 0.989 0.998 1.000 0.000 0.001 0.006 0.029 0.090 0.212 0.395 0.605 0.788 0.910 0.971 0.994 0.999 1.000 0.000 0.000 0.004 0.018 0.059 0.151 0.304 0.500 0.696 0.849 0.941 0.982 0.996 1.000 continued)   PPENDIX  A l n   16  0 1 2 3 4 5 6 7 g 9 10 11 12 13 14 17  0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 18  0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0.05 0.440 0.811 0.957 0.993 0.999 1.000 0.418 0.792 0.950 0.991 0.999 1.000 0.397 0.774 0.942 0.989 0.998 1.000 continued) 0.10 0.185 0.515 0.789 0.932 0.983 0.997 0.999 1.000 0.167 0.482 0.762 0.917 0.978 0.995 0.999 1.000 0.150 0.450 0.734 0.902 0.972 0.994 0.999 1.000 0.15 0.074 0.284 0.561 0.790 0.921 0.976 0.994 0.999 1.000 0.063 0.252 0.520 0.756 0.901 0.968 0.992 0.998 1.000 0.054 0.224 0.480 0.720 0.879 0.958 0.988 0.997 0.999 1.000 P = 0.20 0.028 0.141 0.352 0.598 0.798 0.918 0.973 0.993 0.999 1.000 0.023 0.118 0.310 0.549 0.758 0.894 0.962 0.989 0.997 1.000 0.018 0.099 0.271 0.501 0.716 0.867 0.949 0.984 0.996 0.999 1.000 Probability  of Occurrence 0.25 0.010 0.063 0.197 0.405 0.630 0.810 0.920 0.973 0.993 0.998 1.000 0.008 0.050 0.164 0.353 0.574 0.765 0.893 0.960 0.988 0.997 0.999 1.000 0.006 0.039 0.135 0.306 0.519 0.717 0.861 0.943 0.981 0.995 0.999 1.000 0.30 0.003 0.026 0.099 0.246 0.450 0.660 0.825 0.926 0.974 0.993 0.998 1.000 0.002 0.019 0.077 0.202 0.389 0.597 0.775 0.895 0.960 0.987 0.997 0.999 1.000 0.002 0.014 0.060 0.165 0.333 0.534 0.722 0.859 0.940 0.979 0.994 0.999 1.000 0.35 0.001 0.010 0.045 0.134 0.289 0.490 0.688 0.841 0.933 0.977 0.994 0.999 1.000 0.001 0.007 0.033 0.103 0.235 0.420 0.619 0.787 0.901 0.962 0.988 0.997 0.999 1.000 0.000 0.005 0.024 0.078 0.189 0.355 0.549 0.728 0.861 0.940 0.979 0.994 0.999 1.000 0.40 0.000 0.003 0.018 0.065 0.167 0.329 0.527 0.716 0.858 0.942 0.981 0.995 0.999 1.000 0.000 0.002 0.012 0.046 0.126 0.264 0.448 0.641 0.801 0.908 0.965 0.989 0.997 1.000 0.000 0.001 0.008 0.033 0.094 0.209 0.374 0.563 0.737 0.865 0.942 0.980 0.994 0.999 1.000 0.45 0.000 0.001 0.007 0.028 0.085 0.198 0.366 0.563 0.744 0.876 0.951 0.985 0.997 0.999 1.000 0.000 0.001 0.004 0.018 0.060 0.147 0.290 0.474 0.663 0.817 0.917 0.970 0.991 0.998 1.000 0.000 0.000 0.003 0.012 0.041 0.108 0.226 0.391 0.578 0.747 0.872 0.946 0.982 0.995 0.999 1.000 0.50 0.000 0.000 0.002 0.011 0.038 0.105 0.227 0.402 0.598 0.773 0.895 0.962 0.989 0.998 1.000 0.000 0.000 0.001 0.006 0.025 0.072 0.166 0.315 0.500 0.685 0.834 0.928 0.975 0.994 0.999 1.000 0.000 0.000 0.001 0.004 0.015 0.048 0.119 0.240 0.407 0.593 0.760 0.881 0.952 0.985 0.996 0.999 1.000

Unit 4-Part-IV

Sep 10, 2019
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