Ingegneria Meccanica - estione Industriale delle Qualità con Elementi di Statistica

Tabella con le varie distribuzioni

Tables

Allegati 1 Gestione Industriale della qualità Politecnico di Milano - Dipartimento di Meccanica Sezione di Tecnologie Meccaniche e Produzione 654APPENDIX A STATISTICAL TABLES AND CHARTS Table IICumulative Standard Normal Distribution (continued) z0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.500000 0.503989 0.507978 0.511967 0.515953 0.519939 0.532922 0.527903 0.531881 0.535856 0.1 0.539828 0.543795 0.547758 0.551717 0.555760 0.559618 0.563559 0.567495 0.571424 0.575345 0.2 0.579260 0.583166 0.587064 0.590954 0.594835 0.598706 0.602568 0.606420 0.610261 0.614092 0.3 0.617911 0.621719 0.625516 0.629300 0.633072 0.636831 0.640576 0.644309 0.648027 0.651732 0.4 0.655422 0.659097 0.662757 0.666402 0.670031 0.673645 0.677242 0.680822 0.684386 0.687933 0.5 0.691462 0.694974 0.698468 0.701944 0.705401 0.708840 0.712260 0.715661 0.719043 0.722405 0.6 0.725747 0.729069 0.732371 0.735653 0.738914 0.742154 0.745373 0.748571 0.751748 0.754903 0.7 0.758036 0.761148 0.764238 0.767305 0.770350 0.773373 0.776373 0.779350 0.782305 0.785236 0.8 0.788145 0.791030 0.793892 0.796731 0.799546 0.802338 0.805106 0.807850 0.810570 0.813267 0.9 0.815940 0.818589 0.821214 0.823815 0.826391 0.828944 0.831472 0.833977 0.836457 0.838913 1.0 0.841345 0.843752 0.846136 0.848495 0.850830 0.853141 0.855428 0.857690 0.859929 0.862143 1.1 0.864334 0.866500 0.868643 0.870762 0.872857 0.874928 0.876976 0.878999 0.881000 0.882977 1.2 0.884930 0.886860 0.888767 0.890651 0.892512 0.894350 0.896165 0.897958 0.899727 0.901475 1.3 0.903199 0.904902 0.906582 0.908241 0.909877 0.911492 0.913085 0.914657 0.916207 0.917736 1.4 0.919243 0.920730 0.922196 0.923641 0.925066 0.926471 0.927855 0.929219 0.930563 0.931888 1.5 0.933193 0.934478 0.935744 0.936992 0.938220 0.939429 0.940620 0.941792 0.942947 0.944083 1.6 0.945201 0.946301 0.947384 0.948449 0.949497 0.950529 0.951543 0.952540 0.953521 0.954486 1.7 0.955435 0.956367 0.957284 0.958185 0.959071 0.959941 0.960796 0.961636 0.962462 0.963273 1.8 0.964070 0.964852 0.965621 0.966375 0.967116 0.967843 0.968557 0.969258 0.969946 0.970621 1.9 0.971283 0.971933 0.972571 0.973197 0.973810 0.974412 0.975002 0.975581 0.976148 0.976705 2.0 0.977250 0.977784 0.978308 0.978822 0.979325 0.979818 0.980301 0.980774 0.981237 0.981691 2.1 0.982136 0.982571 0.982997 0.983414 0.983823 0.984222 0.984614 0.984997 0.985371 0.985738 2.2 0.986097 0.986447 0.986791 0.987126 0.987455 0.987776 0.988089 0.988396 0.988696 0.988989 2.3 0.989276 0.989556 0.989830 0.990097 0.990358 0.990613 0.990863 0.991106 0.991344 0.991576 2.4 0.991802 0.992024 0.992240 0.992451 0.992656 0.992857 0.993053 0.993244 0.993431 0.993613 2.5 0.993790 0.993963 0.994132 0.994297 0.994457 0.994614 0.994766 0.994915 0.995060 0.995201 2.6 0.995339 0.995473 0.995604 0.995731 0.995855 0.995975 0.996093 0.996207 0.996319 0.996427 2.7 0.996533 0.996636 0.996736 0.996833 0.996928 0.997020 0.997110 0.997197 0.997282 0.997365 2.8 0.997445 0.997523 0.997599 0.997673 0.997744 0.997814 0.997882 0.997948 0.998012 0.998074 2.9 0.998134 0.998193 0.998250 0.998305 0.998359 0.998411 0.998462 0.998511 0.998559 0.998605 3.0 0.998650 0.998694 0.998736 0.998777 0.998817 0.998856 0.998893 0.998930 0.998965 0.998999 3.1 0.999032 0.999065 0.999096 0.999126 0.999155 0.999184 0.999211 0.999238 0.999264 0.999289 3.2 0.999313 0.999336 0.999359 0.999381 0.999402 0.999423 0.999443 0.999462 0.999481 0.999499 3.3 0.999517 0.999533 0.999550 0.999566 0.999581 0.999596 0.999610 0.999624 0.999638 0.999650 3.4 0.999663 0.999675 0.999687 0.999698 0.999709 0.999720 0.999730 0.999740 0.999749 0.999758 3.5 0.999767 0.999776 0.999784 0.999792 0.999800 0.999807 0.999815 0.999821 0.999828 0.999835 3.6 0.999841 0.999847 0.999853 0.999858 0.999864 0.999869 0.999874 0.999879 0.999883 0.999888 3.7 0.999892 0.999896 0.999900 0.999904 0.999908 0.999912 0.999915 0.999918 0.999922 0.999925 3.8 0.999928 0.999931 0.999933 0.999936 0.999938 0.999941 0.999943 0.999946 0.999948 0.999950 3.9 0.999952 0.999954 0.999956 0.999958 0.999959 0.999961 0.999963 0.999964 0.999966 0.999967 z 0 Φ (z) 1z2P1Z  z2 z 1 2 2 e 1 2u 2 du 656APPENDIX A STATISTICAL TABLES AND CHARTS Table IVPercentage Points t ,of the t-Distribution  .40 .25 .10 .05 .025 .01 .005 .0025 .001 .0005 1 .325 1.000 3.078 6.314 12.706 31.821 63.657 127.32 318.31 636.62 2 .289 .816 1.886 2.920 4.303 6.965 9.925 14.089 23.326 31.598 3 .277 .765 1.638 2.353 3.182 4.541 5.841 7.453 10.213 12.924 4 .271 .741 1.533 2.132 2.776 3.747 4.604 5.598 7.173 8.610 5 .267 .727 1.476 2.015 2.571 3.365 4.032 4.773 5.893 6.869 6 .265 .718 1.440 1.943 2.447 3.143 3.707 4.317 5.208 5.959 7 .263 .711 1.415 1.895 2.365 2.998 3.499 4.029 4.785 5.408 8 .262 .706 1.397 1.860 2.306 2.896 3.355 3.833 4.501 5.041 9 .261 .703 1.383 1.833 2.262 2.821 3.250 3.690 4.297 4.781 10 .260 .700 1.372 1.812 2.228 2.764 3.169 3.581 4.144 4.587 11 .260 .697 1.363 1.796 2.201 2.718 3.106 3.497 4.025 4.437 12 .259 .695 1.356 1.782 2.179 2.681 3.055 3.428 3.930 4.318 13 .259 .694 1.350 1.771 2.160 2.650 3.012 3.372 3.852 4.221 14 .258 .692 1.345 1.761 2.145 2.624 2.977 3.326 3.787 4.140 15 .258 .691 1.341 1.753 2.131 2.602 2.947 3.286 3.733 4.073 16 .258 .690 1.337 1.746 2.120 2.583 2.921 3.252 3.686 4.015 17 .257 .689 1.333 1.740 2.110 2.567 2.898 3.222 3.646 3.965 18 .257 .688 1.330 1.734 2.101 2.552 2.878 3.197 3.610 3.922 19 .257 .688 1.328 1.729 2.093 2.539 2.861 3.174 3.579 3.883 20 .257 .687 1.325 1.725 2.086 2.528 2.845 3.153 3.552 3.850 21 .257 .686 1.323 1.721 2.080 2.518 2.831 3.135 3.527 3.819 22 .256 .686 1.321 1.717 2.074 2.508 2.819 3.119 3.505 3.792 23 .256 .685 1.319 1.714 2.069 2.500 2.807 3.104 3.485 3.767 24 .256 .685 1.318 1.711 2.064 2.492 2.797 3.091 3.467 3.745 25 .256 .684 1.316 1.708 2.060 2.485 2.787 3.078 3.450 3.725 26 .256 .684 1.315 1.706 2.056 2.479 2.779 3.067 3.435 3.707 27 .256 .684 1.314 1.703 2.052 2.473 2.771 3.057 3.421 3.690 28 .256 .683 1.313 1.701 2.048 2.467 2.763 3.047 3.408 3.674 29 .256 .683 1.311 1.699 2.045 2.462 2.756 3.038 3.396 3.659 30 .256 .683 1.310 1.697 2.042 2.457 2.750 3.030 3.385 3.646 40 .255 .681 1.303 1.684 2.021 2.423 2.704 2.971 3.307 3.551 60 .254 .679 1.296 1.671 2.000 2.390 2.660 2.915 3.232 3.460 120 .254 .677 1.289 1.658 1.980 2.358 2.617 2.860 3.160 3.373 .253 .674 1.282 1.645 1.960 2.326 2.576 2.807 3.090 3.291  degrees of freedom. 0 α α, νt APPENDIX A655 Table IIIPercentage Points 2  ,of the Chi-Squared Distribution  .995 .990 .975 .950 .900 .500 .100 .050 .025 .010 .005 1 .00 .00 .00 .00 .02 .45 2.71 3.84 5.02 6.63 7.88 2 .01 .02 .05 .10 .21 1.39 4.61 5.99 7.38 9.21 10.60 3 .07 .11 .22 .35 .58 2.37 6.25 7.81 9.35 11.34 12.84 4 .21 .30 .48 .71 1.06 3.36 7.78 9.49 11.14 13.28 14.86 5 .41 .55 .83 1.15 1.61 4.35 9.24 11.07 12.83 15.09 16.75 6 .68 .87 1.24 1.64 2.20 5.35 10.65 12.59 14.45 16.81 18.55 7 .99 1.24 1.69 2.17 2.83 6.35 12.02 14.07 16.01 18.48 20.28 8 1.34 1.65 2.18 2.73 3.49 7.34 13.36 15.51 17.53 20.09 21.96 9 1.73 2.09 2.70 3.33 4.17 8.34 14.68 16.92 19.02 21.67 23.59 10 2.16 2.56 3.25 3.94 4.87 9.34 15.99 18.31 20.48 23.21 25.19 11 2.60 3.05 3.82 4.57 5.58 10.34 17.28 19.68 21.92 24.72 26.76 12 3.07 3.57 4.40 5.23 6.30 11.34 18.55 21.03 23.34 26.22 28.30 13 3.57 4.11 5.01 5.89 7.04 12.34 19.81 22.36 24.74 27.69 29.82 14 4.07 4.66 5.63 6.57 7.79 13.34 21.06 23.68 26.12 29.14 31.32 15 4.60 5.23 6.27 7.26 8.55 14.34 22.31 25.00 27.49 30.58 32.80 16 5.14 5.81 6.91 7.96 9.31 15.34 23.54 26.30 28.85 32.00 34.27 17 5.70 6.41 7.56 8.67 10.09 16.34 24.77 27.59 30.19 33.41 35.72 18 6.26 7.01 8.23 9.39 10.87 17.34 25.99 28.87 31.53 34.81 37.16 19 6.84 7.63 8.91 10.12 11.65 18.34 27.20 30.14 32.85 36.19 38.58 20 7.43 8.26 9.59 10.85 12.44 19.34 28.41 31.41 34.17 37.57 40.00 21 8.03 8.90 10.28 11.59 13.24 20.34 29.62 32.67 35.48 38.93 41.40 22 8.64 9.54 10.98 12.34 14.04 21.34 30.81 33.92 36.78 40.29 42.80 23 9.26 10.20 11.69 13.09 14.85 22.34 32.01 35.17 38.08 41.64 44.18 24 9.89 10.86 12.40 13.85 15.66 23.34 33.20 36.42 39.36 42.98 45.56 25 10.52 11.52 13.12 14.61 16.47 24.34 34.28 37.65 40.65 44.31 46.93 26 11.16 12.20 13.84 15.38 17.29 25.34 35.56 38.89 41.92 45.64 48.29 27 11.81 12.88 14.57 16.15 18.11 26.34 36.74 40.11 43.19 46.96 49.65 28 12.46 13.57 15.31 16.93 18.94 27.34 37.92 41.34 44.46 48.28 50.99 29 13.12 14.26 16.05 17.71 19.77 28.34 39.09 42.56 45.72 49.59 52.34 30 13.79 14.95 16.79 18.49 20.60 29.34 40.26 43.77 46.98 50.89 53.67 40 20.71 22.16 24.43 26.51 29.05 39.34 51.81 55.76 59.34 63.69 66.77 50 27.99 29.71 32.36 34.76 37.69 49.33 63.17 67.50 71.42 76.15 79.49 60 35.53 37.48 40.48 43.19 46.46 59.33 74.40 79.08 83.30 88.38 91.95 70 43.28 45.44 48.76 51.74 55.33 69.33 85.53 90.53 95.02 100.42 104.22 80 51.17 53.54 57.15 60.39 64.28 79.33 96.58 101.88 106.63 112.33 116.32 90 59.20 61.75 65.65 69.13 73.29 89.33 107.57 113.14 118.14 124.12 128.30 100 67.33 70.06 74.22 77.93 82.36 99.33 118.50 124.34 129.56 135.81 140.17  degrees of freedom. χα, ν2 α Table VPercentage Pointsf ,v 1,v 2of the F-Distribution f 0.25,v 1, v 2 Degrees of freedom for the numerator (v 1) 1 2 3 4 5 6 7 8 9 10 12 15 20 24 30 40 60 120 1 5.83 7.50 8.20 8.58 8.82 8.98 9.10 9.19 9.26 9.32 9.41 9.49 9.58 9.63 9.67 9.71 9.76 9.80 9.85 2 2.57 3.00 3.15 3.23 3.28 3.31 3.34 3.35 3.37 3.38 3.39 3.41 3.43 3.43 3.44 3.45 3.46 3.47 3.48 3 2.02 2.28 2.36 2.39 2.41 2.42 2.43 2.44 2.44 2.44 2.45 2.46 2.46 2.46 2.47 2.47 2.47 2.47 2.47 4 1.81 2.00 2.05 2.06 2.07 2.08 2.08 2.08 2.08 2.08 2.08 2.08 2.08 2.08 2.08 2.08 2.08 2.08 2.08 5 1.69 1.85 1.88 1.89 1.89 1.89 1.89 1.89 1.89 1.89 1.89 1.89 1.88 1.88 1.88 1.88 1.87 1.87 1.87 6 1.62 1.76 1.78 1.79 1.79 1.78 1.78 1.78 1.77 1.77 1.77 1.76 1.76 1.75 1.75 1.75 1.74 1.74 1.74 7 1.57 1.70 1.72 1.72 1.71 1.71 1.70 1.70 1.70 1.69 1.68 1.68 1.67 1.67 1.66 1.66 1.65 1.65 1.65 8 1.54 1.66 1.67 1.66 1.66 1.65 1.64 1.64 1.63 1.63 1.62 1.62 1.61 1.60 1.60 1.59 1.59 1.58 1.58 9 1.51 1.62 1.63 1.63 1.62 1.61 1.60 1.60 1.59 1.59 1.58 1.57 1.56 1.56 1.55 1.54 1.54 1.53 1.53 10 1.49 1.60 1.60 1.59 1.59 1.58 1.57 1.56 1.56 1.55 1.54 1.53 1.52 1.52 1.51 1.51 1.50 1.49 1.48 11 1.47 1.58 1.58 1.57 1.56 1.55 1.54 1.53 1.53 1.52 1.51 1.50 1.49 1.49 1.48 1.47 1.47 1.46 1.45 12 1.46 1.56 1.56 1.55 1.54 1.53 1.52 1.51 1.51 1.50 1.49 1.48 1.47 1.46 1.45 1.45 1.44 1.43 1.42 13 1.45 1.55 1.55 1.53 1.52 1.51 1.50 1.49 1.49 1.48 1.47 1.46 1.45 1.44 1.43 1.42 1.42 1.41 1.40 14 1.44 1.53 1.53 1.52 1.51 1.50 1.49 1.48 1.47 1.46 1.45 1.44 1.43 1.42 1.41 1.41 1.40 1.39 1.38 15 1.43 1.52 1.52 1.51 1.49 1.48 1.47 1.46 1.46 1.45 1.44 1.43 1.41 1.41 1.40 1.39 1.38 1.37 1.36 16 1.42 1.51 1.51 1.50 1.48 1.47 1.46 1.45 1.44 1.44 1.43 1.41 1.40 1.39 1.38 1.37 1.36 1.35 1.34 17 1.42 1.51 1.50 1.49 1.47 1.46 1.45 1.44 1.43 1.43 1.41 1.40 1.39 1.38 1.37 1.36 1.35 1.34 1.33 18 1.41 1.50 1.49 1.48 1.46 1.45 1.44 1.43 1.42 1.42 1.40 1.39 1.38 1.37 1.36 1.35 1.34 1.33 1.32 19 1.41 1.49 1.49 1.47 1.46 1.44 1.43 1.42 1.41 1.41 1.40 1.38 1.37 1.36 1.35 1.34 1.33 1.32 1.30 20 1.40 1.49 1.48 1.47 1.45 1.44 1.43 1.42 1.41 1.40 1.39 1.37 1.36 1.35 1.34 1.33 1.32 1.31 1.29 21 1.40 1.48 1.48 1.46 1.44 1.43 1.42 1.41 1.40 1.39 1.38 1.37 1.35 1.34 1.33 1.32 1.31 1.30 1.28 22 1.40 1.48 1.47 1.45 1.44 1.42 1.41 1.40 1.39 1.39 1.37 1.36 1.34 1.33 1.32 1.31 1.30 1.29 1.28 23 1.39 1.47 1.47 1.45 1.43 1.42 1.41 1.40 1.39 1.38 1.37 1.35 1.34 1.33 1.32 1.31 1.30 1.28 1.27 24 1.39 1.47 1.46 1.44 1.43 1.41 1.40 1.39 1.38 1.38 1.36 1.35 1.33 1.32 1.31 1.30 1.29 1.28 1.26 25 1.39 1.47 1.46 1.44 1.42 1.41 1.40 1.39 1.38 1.37 1.36 1.34 1.33 1.32 1.31 1.29 1.28 1.27 1.25 26 1.38 1.46 1.45 1.44 1.42 1.41 1.39 1.38 1.37 1.37 1.35 1.34 1.32 1.31 1.30 1.29 1.28 1.26 1.25 27 1.38 1.46 1.45 1.43 1.42 1.40 1.39 1.38 1.37 1.36 1.35 1.33 1.32 1.31 1.30 1.28 1.27 1.26 1.24 28 1.38 1.46 1.45 1.43 1.41 1.40 1.39 1.38 1.37 1.36 1.34 1.33 1.31 1.30 1.29 1.28 1.27 1.25 1.24 29 1.38 1.45 1.45 1.43 1.41 1.40 1.38 1.37 1.36 1.35 1.34 1.32 1.31 1.30 1.29 1.27 1.26 1.25 1.23 30 1.38 1.45 1.44 1.42 1.41 1.39 1.38 1.37 1.36 1.35 1.34 1.32 1.30 1.29 1.28 1.27 1.26 1.24 1.23 40 1.36 1.44 1.42 1.40 1.39 1.37 1.36 1.35 1.34 1.33 1.31 1.30 1.28 1.26 1.25 1.24 1.22 1.21 1.19 60 1.35 1.42 1.41 1.38 1.37 1.35 1.33 1.32 1.31 1.30 1.29 1.27 1.25 1.24 1.22 1.21 1.19 1.17 1.15 120 1.34 1.40 1.39 1.37 1.35 1.33 1.31 1.30 1.29 1.28 1.26 1.24 1.22 1.21 1.19 1.18 1.16 1.13 1.10 1.32 1.39 1.37 1.35 1.33 1.31 1.29 1.28 1.27 1.25 1.24 1.22 1.19 1.18 1.16 1.14 1.12 1.08 1.00   Degrees of freedom for the denominator (v 2) v 1 v2 α f , 1, 2 657 Table VPercentage Points of the F-Distribution (continued) f 0.10,v 1, v 2 Degrees of freedom for the numerator (v 1) 1 2 3 4 5 6 7 8 9 1 012152024304060120 1 39.86 49.50 53.59 55.83 57.24 58.20 58.91 59.44 59.86 60.19 60.71 61.22 61.74 62.00 62.26 62.53 62.79 63.06 63.33 2 8.53 9.00 9.16 9.24 9.29 9.33 9.35 9.37 9.38 9.39 9.41 9.42 9.44 9.45 9.46 9.47 9.47 9.48 9.49 3 5.54 5.46 5.39 5.34 5.31 5.28 5.27 5.25 5.24 5.23 5.22 5.20 5.18 5.18 5.17 5.16 5.15 5.14 5.13 4 4.54 4.32 4.19 4.11 4.05 4.01 3.98 3.95 3.94 3.92 3.90 3.87 3.84 3.83 3.82 3.80 3.79 3.78 3.76 5 4.06 3.78 3.62 3.52 3.45 3.40 3.37 3.34 3.32 3.30 3.27 3.24 3.21 3.19 3.17 3.16 3.14 3.12 3.10 6 3.78 3.46 3.29 3.18 3.11 3.05 3.01 2.98 2.96 2.94 2.90 2.87 2.84 2.82 2.80 2.78 2.76 2.74 2.72 7 3.59 3.26 3.07 2.96 2.88 2.83 2.78 2.75 2.72 2.70 2.67 2.63 2.59 2.58 2.56 2.54 2.51 2.49 2.47 8 3.46 3.11 2.92 2.81 2.73 2.67 2.62 2.59 2.56 2.54 2.50 2.46 2.42 2.40 2.38 2.36 2.34 2.32 2.29 9 3.36 3.01 2.81 2.69 2.61 2.55 2.51 2.47 2.44 2.42 2.38 2.34 2.30 2.28 2.25 2.23 2.21 2.18 2.16 10 3.29 2.92 2.73 2.61 2.52 2.46 2.41 2.38 2.35 2.32 2.28 2.24 2.20 2.18 2.16 2.13 2.11 2.08 2.06 11 3.23 2.86 2.66 2.54 2.45 2.39 2.34 2.30 2.27 2.25 2.21 2.17 2.12 2.10 2.08 2.05 2.03 2.00 1.97 12 3.18 2.81 2.61 2.48 2.39 2.33 2.28 2.24 2.21 2.19 2.15 2.10 2.06 2.04 2.01 1.99 1.96 1.93 1.90 13 3.14 2.76 2.56 2.43 2.35 2.28 2.23 2.20 2.16 2.14 2.10 2.05 2.01 1.98 1.96 1.93 1.90 1.88 1.85 14 3.10 2.73 2.52 2.39 2.31 2.24 2.19 2.15 2.12 2.10 2.05 2.01 1.96 1.94 1.91 1.89 1.86 1.83 1.80 15 3.07 2.70 2.49 2.36 2.27 2.21 2.16 2.12 2.09 2.06 2.02 1.97 1.92 1.90 1.87 1.85 1.82 1.79 1.76 16 3.05 2.67 2.46 2.33 2.24 2.18 2.13 2.09 2.06 2.03 1.99 1.94 1.89 1.87 1.84 1.81 1.78 1.75 1.72 17 3.03 2.64 2.44 2.31 2.22 2.15 2.10 2.06 2.03 2.00 1.96 1.91 1.86 1.84 1.81 1.78 1.75 1.72 1.69 18 3.01 2.62 2.42 2.29 2.20 2.13 2.08 2.04 2.00 1.98 1.93 1.89 1.84 1.81 1.78 1.75 1.72 1.69 1.66 19 2.99 2.61 2.40 2.27 2.18 2.11 2.06 2.02 1.98 1.96 1.91 1.86 1.81 1.79 1.76 1.73 1.70 1.67 1.63 20 2.97 2.59 2.38 2.25 2.16 2.09 2.04 2.00 1.96 1.94 1.89 1.84 1.79 1.77 1.74 1.71 1.68 1.64 1.61 21 2.96 2.57 2.36 2.23 2.14 2.08 2.02 1.98 1.95 1.92 1.87 1.83 1.78 1.75 1.72 1.69 1.66 1.62 1.59 22 2.95 2.56 2.35 2.22 2.13 2.06 2.01 1.97 1.93 1.90 1.86 1.81 1.76 1.73 1.70 1.67 1.64 1.60 1.57 23 2.94 2.55 2.34 2.21 2.11 2.05 1.99 1.95 1.92 1.89 1.84 1.80 1.74 1.72 1.69 1.66 1.62 1.59 1.55 24 2.93 2.54 2.33 2.19 2.10 2.04 1.98 1.94 1.91 1.88 1.83 1.78 1.73 1.70 1.67 1.64 1.61 1.57 1.53 25 2.92 2.53 2.32 2.18 2.09 2.02 1.97 1.93 1.89 1.87 1.82 1.77 1.72 1.69 1.66 1.63 1.59 1.56 1.52 26 2.91 2.52 2.31 2.17 2.08 2.01 1.96 1.92 1.88 1.86 1.81 1.76 1.71 1.68 1.65 1.61 1.58 1.54 1.50 27 2.90 2.51 2.30 2.17 2.07 2.00 1.95 1.91 1.87 1.85 1.80 1.75 1.70 1.67 1.64 1.60 1.57 1.53 1.49 28 2.89 2.50 2.29 2.16 2.06 2.00 1.94 1.90 1.87 1.84 1.79 1.74 1.69 1.66 1.63 1.59 1.56 1.52 1.48 29 2.89 2.50 2.28 2.15 2.06 1.99 1.93 1.89 1.86 1.83 1.78 1.73 1.68 1.65 1.62 1.58 1.55 1.51 1.47 30 2.88 2.49 2.28 2.14 2.03 1.98 1.93 1.88 1.85 1.82 1.77 1.72 1.67 1.64 1.61 1.57 1.54 1.50 1.46 40 2.84 2.44 2.23 2.09 2.00 1.93 1.87 1.83 1.79 1.76 1.71 1.66 1.61 1.57 1.54 1.51 1.47 1.42 1.38 60 2.79 2.39 2.18 2.04 1.95 1.87 1.82 1.77 1.74 1.71 1.66 1.60 1.54 1.51 1.48 1.44 1.40 1.35 1.29 120 2.75 2.35 2.13 1.99 1.90 1.82 1.77 1.72 1.68 1.65 1.60 1.55 1.48 1.45 1.41 1.37 1.32 1.26 1.19 2.71 2.30 2.08 1.94 1.85 1.77 1.72 1.67 1.63 1.60 1.55 1.49 1.42 1.38 1.34 1.30 1.24 1.17 1.00   Degrees of freedom for the denominator (v 2) v 1 v2 658 659 Table VPercentage Points of theF-Distribution (continued) f 0.05,v 1, v 2 Degrees of freedom for the numerator (v 1) 1 2 3 4 5 6 7 8 9 1 012 1520 243040 60120 1 161.4 199.5 215.7 224.6 230.2 234.0 236.8 238.9 240.5 241.9 243.9 245.9 248.0 249.1 250.1 251.1 252.2 253.3 254.3 2 18.51 19.00 19.16 19.25 19.30 19.33 19.35 19.37 19.38 19.40 19.41 19.43 19.45 19.45 19.46 19.47 19.48 19.49 19.50 3 10.13 9.55 9.28 9.12 9.01 8.94 8.89 8.85 8.81 8.79 8.74 8.70 8.66 8.64 8.62 8.59 8.57 8.55 8.53 4 7.71 6.94 6.59 6.39 6.26 6.16 6.09 6.04 6.00 5.96 5.91 5.86 5.80 5.77 5.75 5.72 5.69 5.66 5.63 5 6.61 5.79 5.41 5.19 5.05 4.95 4.88 4.82 4.77 4.74 4.68 4.62 4.56 4.53 4.50 4.46 4.43 4.40 4.36 6 5.99 5.14 4.76 4.53 4.39 4.28 4.21 4.15 4.10 4.06 4.00 3.94 3.87 3.84 3.81 3.77 3.74 3.70 3.67 7 5.59 4.74 4.35 4.12 3.97 3.87 3.79 3.73 3.68 3.64 3.57 3.51 3.44 3.41 3.38 3.34 3.30 3.27 3.23 8 5.32 4.46 4.07 3.84 3.69 3.58 3.50 3.44 3.39 3.35 3.28 3.22 3.15 3.12 3.08 3.04 3.01 2.97 2.93 9 5.12 4.26 3.86 3.63 3.48 3.37 3.29 3.23 3.18 3.14 3.07 3.01 2.94 2.90 2.86 2.83 2.79 2.75 2.71 10 4.96 4.10 3.71 3.48 3.33 3.22 3.14 3.07 3.02 2.98 2.91 2.85 2.77 2.74 2.70 2.66 2.62 2.58 2.54 11 4.84 3.98 3.59 3.36 3.20 3.09 3.01 2.95 2.90 2.85 2.79 2.72 2.65 2.61 2.57 2.53 2.49 2.45 2.40 12 4.75 3.89 3.49 3.26 3.11 3.00 2.91 2.85 2.80 2.75 2.69 2.62 2.54 2.51 2.47 2.43 2.38 2.34 2.30 13 4.67 3.81 3.41 3.18 3.03 2.92 2.83 2.77 2.71 2.67 2.60 2.53 2.46 2.42 2.38 2.34 2.30 2.25 2.21 14 4.60 3.74 3.34 3.11 2.96 2.85 2.76 2.70 2.65 2.60 2.53 2.46 2.39 2.35 2.31 2.27 2.22 2.18 2.13 15 4.54 3.68 3.29 3.06 2.90 2.79 2.71 2.64 2.59 2.54 2.48 2.40 2.33 2.29 2.25 2.20 2.16 2.11 2.07 16 4.49 3.63 3.24 3.01 2.85 2.74 2.66 2.59 2.54 2.49 2.42 2.35 2.28 2.24 2.19 2.15 2.11 2.06 2.01 17 4.45 3.59 3.20 2.96 2.81 2.70 2.61 2.55 2.49 2.45 2.38 2.31 2.23 2.19 2.15 2.10 2.06 2.01 1.96 18 4.41 3.55 3.16 2.93 2.77 2.66 2.58 2.51 2.46 2.41 2.34 2.27 2.19 2.15 2.11 2.06 2.02 1.97 1.92 19 4.38 3.52 3.13 2.90 2.74 2.63 2.54 2.48 2.42 2.38 2.31 2.23 2.16 2.11 2.07 2.03 1.98 1.93 1.88 20 4.35 3.49 3.10 2.87 2.71 2.60 2.51 2.45 2.39 2.35 2.28 2.20 2.12 2.08 2.04 1.99 1.95 1.90 1.84 21 4.32 3.47 3.07 2.84 2.68 2.57 2.49 2.42 2.37 2.32 2.25 2.18 2.10 2.05 2.01 1.96 1.92 1.87 1.81 22 4.30 3.44 3.05 2.82 2.66 2.55 2.46 2.40 2.34 2.30 2.23 2.15 2.07 2.03 1.98 1.94 1.89 1.84 1.78 23 4.28 3.42 3.03 2.80 2.64 2.53 2.44 2.37 2.32 2.27 2.20 2.13 2.05 2.01 1.96 1.91 1.86 1.81 1.76 24 4.26 3.40 3.01 2.78 2.62 2.51 2.42 2.36 2.30 2.25 2.18 2.11 2.03 1.98 1.94 1.89 1.84 1.79 1.73 25 4.24 3.39 2.99 2.76 2.60 2.49 2.40 2.34 2.28 2.24 2.16 2.09 2.01 1.96 1.92 1.87 1.82 1.77 1.71 26 4.23 3.37 2.98 2.74 2.59 2.47 2.39 2.32 2.27 2.22 2.15 2.07 1.99 1.95 1.90 1.85 1.80 1.75 1.69 27 4.21 3.35 2.96 2.73 2.57 2.46 2.37 2.31 2.25 2.20 2.13 2.06 1.97 1.93 1.88 1.84 1.79 1.73 1.67 28 4.20 3.34 2.95 2.71 2.56 2.45 2.36 2.29 2.24 2.19 2.12 2.04 1.96 1.91 1.87 1.82 1.77 1.71 1.65 29 4.18 3.33 2.93 2.70 2.55 2.43 2.35 2.28 2.22 2.18 2.10 2.03 1.94 1.90 1.85 1.81 1.75 1.70 1.64 30 4.17 3.32 2.92 2.69 2.53 2.42 2.33 2.27 2.21 2.16 2.09 2.01 1.93 1.89 1.84 1.79 1.74 1.68 1.62 40 4.08 3.23 2.84 2.61 2.45 2.34 2.25 2.18 2.12 2.08 2.00 1.92 1.84 1.79 1.74 1.69 1.64 1.58 1.51 60 4.00 3.15 2.76 2.53 2.37 2.25 2.17 2.10 2.04 1.99 1.92 1.84 1.75 1.70 1.65 1.59 1.53 1.47 1.39 120 3.92 3.07 2.68 2.45 2.29 2.17 2.09 2.02 1.96 1.91 1.83 1.75 1.66 1.61 1.55 1.55 1.43 1.35 1.25 3.84 3.00 2.60 2.37 2.21 2.10 2.01 1.94 1.88 1.83 1.75 1.67 1.57 1.52 1.46 1.39 1.32 1.22 1.00   Degrees of freedom for the denominator (v 2) v 1 v2 Table VPercentage Points of the F-Distribution (continued) f 0.025,v 1, v 2 Degrees of freedom for the numerator (v 1) 1 2 34567891 012152024304060120 1 647.8 799.5 864.2 899.6 921.8 937.1 948.2 956.7 963.3 968.6 976.7 984.9 993.1 997.2 1001 1006 1010 1014 1018 2 38.51 39.00 39.17 39.25 39.30 39.33 39.36 39.37 39.39 39.40 39.41 39.43 39.45 39.46 39.46 39.47 39.48 39.49 39.50 3 17.44 16.04 15.44 15.10 14.88 14.73 14.62 14.54 14.47 14.42 14.34 14.25 14.17 14.12 14.08 14.04 13.99 13.95 13.90 4 12.22 10.65 9.98 9.60 9.36 9.20 9.07 8.98 8.90 8.84 8.75 8.66 8.56 8.51 8.46 8.41 8.36 8.31 8.26 5 10.01 8.43 7.76 7.39 7.15 6.98 6.85 6.76 6.68 6.62 6.52 6.43 6.33 6.28 6.23 6.18 6.12 6.07 6.02 6 8.81 7.26 6.60 6.23 5.99 5.82 5.70 5.60 5.52 5.46 5.37 5.27 5.17 5.12 5.07 5.01 4.96 4.90 4.85 7 8.07 6.54 5.89 5.52 5.29 5.12 4.99 4.90 4.82 4.76 4.67 4.57 4.47 4.42 4.36 4.31 4.25 4.20 4.14 8 7.57 6.06 5.42 5.05 4.82 4.65 4.53 4.43 4.36 4.30 4.20 4.10 4.00 3.95 3.89 3.84 3.78 3.73 3.67 9 7.21 5.71 5.08 4.72 4.48 4.32 4.20 4.10 4.03 3.96 3.87 3.77 3.67 3.61 3.56 3.51 3.45 3.39 3.33 10 6.94 5.46 4.83 4.47 4.24 4.07 3.95 3.85 3.78 3.72 3.62 3.52 3.42 3.37 3.31 3.26 3.20 3.14 3.08 11 6.72 5.26 4.63 4.28 4.04 3.88 3.76 3.66 3.59 3.53 3.43 3.33 3.23 3.17 3.12 3.06 3.00 2.94 2.88 12 6.55 5.10 4.47 4.12 3.89 3.73 3.61 3.51 3.44 3.37 3.28 3.18 3.07 3.02 2.96 2.91 2.85 2.79 2.72 13 6.41 4.97 4.35 4.00 3.77 3.60 3.48 3.39 3.31 3.25 3.15 3.05 2.95 2.89 2.84 2.78 2.72 2.66 2.60 14 6.30 4.86 4.24 3.89 3.66 3.50 3.38 3.29 3.21 3.15 3.05 2.95 2.84 2.79 2.73 2.67 2.61 2.55 2.49 15 6.20 4.77 4.15 3.80 3.58 3.41 3.29 3.20 3.12 3.06 2.96 2.86 2.76 2.70 2.64 2.59 2.52 2.46 2.40 16 6.12 4.69 4.08 3.73 3.50 3.34 3.22 3.12 3.05 2.99 2.89 2.79 2.68 2.63 2.57 2.51 2.45 2.38 2.32 17 6.04 4.62 4.01 3.66 3.44 3.28 3.16 3.06 2.98 2.92 2.82 2.72 2.62 2.56 2.50 2.44 2.38 2.32 2.25 18 5.98 4.56 3.95 3.61 3.38 3.22 3.10 3.01 2.93 2.87 2.77 2.67 2.56 2.50 2.44 2.38 2.32 2.26 2.19 19 5.92 4.51 3.90 3.56 3.33 3.17 3.05 2.96 2.88 2.82 2.72 2.62 2.51 2.45 2.39 2.33 2.27 2.20 2.13 20 5.87 4.46 3.86 3.51 3.29 3.13 3.01 2.91 2.84 2.77 2.68 2.57 2.46 2.41 2.35 2.29 2.22 2.16 2.09 21 5.83 4.42 3.82 3.48 3.25 3.09 2.97 2.87 2.80 2.73 2.64 2.53 2.42 2.37 2.31 2.25 2.18 2.11 2.04 22 5.79 4.38 3.78 3.44 3.22 3.05 2.93 2.84 2.76 2.70 2.60 2.50 2.39 2.33 2.27 2.21 2.14 2.08 2.00 23 5.75 4.35 3.75 3.41 3.18 3.02 2.90 2.81 2.73 2.67 2.57 2.47 2.36 2.30 2.24 2.18 2.11 2.04 1.97 24 5.72 4.32 3.72 3.38 3.15 2.99 2.87 2.78 2.70 2.64 2.54 2.44 2.33 2.27 2.21 2.15 2.08 2.01 1.94 25 5.69 4.29 3.69 3.35 3.13 2.97 2.85 2.75 2.68 2.61 2.51 2.41 2.30 2.24 2.18 2.12 2.05 1.98 1.91 26 5.66 4.27 3.67 3.33 3.10 2.94 2.82 2.73 2.65 2.59 2.49 2.39 2.28 2.22 2.16 2.09 2.03 1.95 1.88 27 5.63 4.24 3.65 3.31 3.08 2.92 2.80 2.71 2.63 2.57 2.47 2.36 2.25 2.19 2.13 2.07 2.00 1.93 1.85 28 5.61 4.22 3.63 3.29 3.06 2.90 2.78 2.69 2.61 2.55 2.45 2.34 2.23 2.17 2.11 2.05 1.98 1.91 1.83 29 5.59 4.20 3.61 3.27 3.04 2.88 2.76 2.67 2.59 2.53 2.43 2.32 2.21 2.15 2.09 2.03 1.96 1.89 1.81 30 5.57 4.18 3.59 3.25 3.03 2.87 2.75 2.65 2.57 2.51 2.41 2.31 2.20 2.14 2.07 2.01 1.94 1.87 1.79 40 5.42 4.05 3.46 3.13 2.90 2.74 2.62 2.53 2.45 2.39 2.29 2.18 2.07 2.01 1.94 1.88 1.80 1.72 1.64 60 5.29 3.93 3.34 3.01 2.79 2.63 2.51 2.41 2.33 2.27 2.17 2.06 1.94 1.88 1.82 1.74 1.67 1.58 1.48 120 5.15 3.80 3.23 2.89 2.67 2.52 2.39 2.30 2.22 2.16 2.05 1.94 1.82 1.76 1.69 1.61 1.53 1.43 1.31 5.02 3.69 3.12 2.79 2.57 2.41 2.29 2.19 2.11 2.05 1.94 1.83 1.71 1.64 1.57 1.48 1.39 1.27 1.00   Degrees of freedom for the denominator (v 2) v 1 v2 660 Table VPercentage Points of the F-Distribution (continued) f 0.01,v 1, v 2 Degrees of freedom for the numerator (v 1) 1 2 3 4 5 6 7 8 9 10 12 15 20 24 30 40 60 120 1 4052 4999.5 5403 5625 5764 5859 5928 5982 6022 6056 6106 6157 6209 6235 6261 6287 6313 6339 6366 2 98.50 99.00 99.17 99.25 99.30 99.33 99.36 99.37 99.39 99.40 99.42 99.43 99.45 99.46 99.47 99.47 99.48 99.49 99.50 3 34.12 30.82 29.46 28.71 28.24 27.91 27.67 27.49 27.35 27.23 27.05 26.87 26.69 26.00 26.50 26.41 26.32 26.22 26.13 4 21.20 18.00 16.69 15.98 15.52 15.21 14.98 14.80 14.66 14.55 14.37 14.20 14.02 13.93 13.84 13.75 13.65 13.56 13.46 5 16.26 13.27 12.06 11.39 10.97 10.67 10.46 10.29 10.16 10.05 9.89 9.72 9.55 9.47 9.38 9.29 9.20 9.11 9.02 6 13.75 10.92 9.78 9.15 8.75 8.47 8.26 8.10 7.98 7.87 7.72 7.56 7.40 7.31 7.23 7.14 7.06 6.97 6.88 7 12.25 9.55 8.45 7.85 7.46 7.19 6.99 6.84 6.72 6.62 6.47 6.31 6.16 6.07 5.99 5.91 5.82 5.74 5.65 8 11.26 8.65 7.59 7.01 6.63 6.37 6.18 6.03 5.91 5.81 5.67 5.52 5.36 5.28 5.20 5.12 5.03 4.95 4.46 9 10.56 8.02 6.99 6.42 6.06 5.80 5.61 5.47 5.35 5.26 5.11 4.96 4.81 4.73 4.65 4.57 4.48 4.40 4.31 10 10.04 7.56 6.55 5.99 5.64 5.39 5.20 5.06 4.94 4.85 4.71 4.56 4.41 4.33 4.25 4.17 4.08 4.00 3.91 11 9.65 7.21 6.22 5.67 5.32 5.07 4.89 4.74 4.63 4.54 4.40 4.25 4.10 4.02 3.94 3.86 3.78 3.69 3.60 12 9.33 6.93 5.95 5.41 5.06 4.82 4.64 4.50 4.39 4.30 4.16 4.01 3.86 3.78 3.70 3.62 3.54 3.45 3.36 13 9.07 6.70 5.74 5.21 4.86 4.62 4.44 4.30 4.19 4.10 3.96 3.82 3.66 3.59 3.51 3.43 3.34 3.25 3.17 14 8.86 6.51 5.56 5.04 4.69 4.46 4.28 4.14 4.03 3.94 3.80 3.66 3.51 3.43 3.35 3.27 3.18 3.09 3.00 15 8.68 6.36 5.42 4.89 4.36 4.32 4.14 4.00 3.89 3.80 3.67 3.52 3.37 3.29 3.21 3.13 3.05 2.96 2.87 16 8.53 6.23 5.29 4.77 4.44 4.20 4.03 3.89 3.78 3.69 3.55 3.41 3.26 3.18 3.10 3.02 2.93 2.84 2.75 17 8.40 6.11 5.18 4.67 4.34 4.10 3.93 3.79 3.68 3.59 3.46 3.31 3.16 3.08 3.00 2.92 2.83 2.75 2.65 18 8.29 6.01 5.09 4.58 4.25 4.01 3.84 3.71 3.60 3.51 3.37 3.23 3.08 3.00 2.92 2.84 2.75 2.66 2.57 19 8.18 5.93 5.01 4.50 4.17 3.94 3.77 3.63 3.52 3.43 3.30 3.15 3.00 2.92 2.84 2.76 2.67 2.58 2.59 20 8.10 5.85 4.94 4.43 4.10 3.87 3.70 3.56 3.46 3.37 3.23 3.09 2.94 2.86 2.78 2.69 2.61 2.52 2.42 21 8.02 5.78 4.87 4.37 4.04 3.81 3.64 3.51 3.40 3.31 3.17 3.03 2.88 2.80 2.72 2.64 2.55 2.46 2.36 22 7.95 5.72 4.82 4.31 3.99 3.76 3.59 3.45 3.35 3.26 3.12 2.98 2.83 2.75 2.67 2.58 2.50 2.40 2.31 23 7.88 5.66 4.76 4.26 3.94 3.71 3.54 3.41 3.30 3.21 3.07 2.93 2.78 2.70 2.62 2.54 2.45 2.35 2.26 24 7.82 5.61 4.72 4.22 3.90 3.67 3.50 3.36 3.26 3.17 3.03 2.89 2.74 2.66 2.58 2.49 2.40 2.31 2.21 25 7.77 5.57 4.68 4.18 3.85 3.63 3.46 3.32 3.22 3.13 2.99 2.85 2.70 2.62 2.54 2.45 2.36 2.27 2.17 26 7.72 5.53 4.64 4.14 3.82 3.59 3.42 3.29 3.18 3.09 2.96 2.81 2.66 2.58 2.50 2.42 2.33 2.23 2.13 27 7.68 5.49 4.60 4.11 3.78 3.56 3.39 3.26 3.15 3.06 2.93 2.78 2.63 2.55 2.47 2.38 2.29 2.20 2.10 28 7.64 5.45 4.57 4.07 3.75 3.53 3.36 3.23 3.12 3.03 2.90 2.75 2.60 2.52 2.44 2.35 2.26 2.17 2.06 29 7.60 5.42 4.54 4.04 3.73 3.50 3.33 3.20 3.09 3.00 2.87 2.73 2.57 2.49 2.41 2.33 2.23 2.14 2.03 30 7.56 5.39 4.51 4.02 3.70 3.47 3.30 3.17 3.07 2.98 2.84 2.70 2.55 2.47 2.39 2.30 2.21 2.11 2.01 40 7.31 5.18 4.31 3.83 3.51 3.29 3.12 2.99 2.89 2.80 2.66 2.52 2.37 2.29 2.20 2.11 2.02 1.92 1.80 60 7.08 4.98 4.13 3.65 3.34 3.12 2.95 2.82 2.72 2.63 2.50 2.35 2.20 2.12 2.03 1.94 1.84 1.73 1.60 120 6.85 4.79 3.95 3.48 3.17 2.96 2.79 2.66 2.56 2.47 2.34 2.19 2.03 1.95 1.86 1.76 1.66 1.53 1.38 6.63 4.61 3.78 3.32 3.02 2.80 2.64 2.51 2.41 2.32 2.18 2.04 1.88 1.79 1.70 1.59 1.47 1.32 1.00   Degrees of freedom for the denominator (v 2) v 1 v2 661 2)1 ( )1 ( S 2 12 2 2 2 1 1 2 p− +− + − = n nS n S n con Costanti carte di controllo per variabili Nomogramma binomiale 1 Simboli ISO 16269-6 2014 Popolazione Normale (Gaussiana) Tipo Intervallo μ σ Coefficiente Calcolo One -sided K K up Gauss -Std Two -sided K K u(1+p)/2 Gauss -Std One -sided K UnK k1 Formula Two -sided K UnK k2 Formula One -sided UnK K k3 Formula Two -sided UnK K k4 Formula One -sided UnK UnK kC Formula /Tab Two -Sided; Single/ M ultiple UnK UnK kD Tabella Significato di Livello di confidenza Supponiamo di aver definito una procedura che mi permette di definire l’intervallo di confidenza di una quantità statistica (intervallo unilaterale o bilaterale). L’intervallo di confidenza contiene il valore vero della quantità statistica una proporzione (1-alfa)% di casi in una lunga serie di applicazioni della procedura, ripetuta in condizioni identiche. Popolazione Gaussiana; Media nota; Varianza Nota ( ) ( ) 1 /21 /2 One-sided interval or Two-sided interval LpU p LU pp xu x u xu x u µσ µσ µ σµ σ ++ =−=+ =−=+ Popolazione Gaussiana; Media nota; Varianza Incognita 11 22 One-sided interval or Two-sided interval LU LUx ks x ks x ks x ks µµµµ=−=+ =−=+ Con: ( ) ( ) ( ) ( ) 121 22 2 11 : ;1 = : ;1 11 pp nn k np uk np u nn αα αα χχ + −− −=−= −− Popolazione Gaussiana; Media Incognita; Varianza Nota 33 44 One-sided interval or Two-sided interval LU LU x xk x xk x xk x xk σσ σσ =−=+ =−=+ Con ( ) ( ) 2 2 3141 /2 11 : ;1 = : ;11, pp k np u u k npu nn αα ααχ −−   −= + −=      Si noti che il secondo termine della Chi-quadro è il parametro di non centralità Popolazione Gaussiana; Media Incognita; Varianza Incognita One-sided interval or LCU Cx x ks x x ks =−=+ Con: ( ) ( ) 1 1 ; ;11, con parametro di non centralit� Cppknp t n unun n α α − −= − Se la varianza è stimata da f campioni di numerosità n () () 1 1 ; ; ;1, con parametro di non centralit� Cppknfp t funun n α α − −= ( ) ( ) ( ) ( ) Two-sided interval ;1; ;1 ;1; ;1 ; ; ;1 ; ; ;1 LDLD UDUD x xkn p sx xkn p s x x k nm p s x x k nm p s αα αα =− −=+ − =+−=+− stimato da m campioni ISO 16269-6:2014(E) Annex C (normative) One- sided statistical tolerance limit factors, k C(n ; p ), for unknown See Tables C.1 to C.4. n p 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 30 35 40 45 50 60 70 80 90 100 © ISO 2014 – All rights reserved 21 ISO 16269-6:2014(E) n p 150 200 250 300 400 500 1 000 2 000 5 000 10 000 20 000 2.3264 n p 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 30 35 40 (continued) 22 © ISO 2014 – All rights reserved ISO 16269-6:2014(E) n p 45 50 60 70 80 90 100 150 200 250 300 400 500 1 000 2 000 5 000 10 000 20 000 n P 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 (continued) © ISO 2014 – All rights reserved 23 ISO 16269-6:2014(E) n P 22 24 26 28 30 35 40 45 50 60 70 80 90 100 150 200 250 300 400 500 1 000 2 000 5 000 10 000 20 000 n p 2 3 4 5 6 7 8 9 10 11 12 13 (continued) 24 © ISO 2014 – All rights reserved ISO 16269-6:2014(E) n p 14 15 16 17 18 19 20 22 24 26 28 30 35 40 45 50 60 70 80 90 100 150 200 250 300 400 500 1 000 2 000 5 000 10 000 20 000 (continued) © ISO 2014 – All rights reserved 25 ISO 16269-6:2014(E) Annex D (normative) Two- sided statistical tolerance limit factors, k D (n ; m ), for unknown common ( m samples) See Tables D.1 to D.12. p n m 1 2 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 30 35 40 45 50 60 70 80 90 100 150 26 © ISO 2014 – All rights reserved ISO 16269-6:2014(E) n m 1 2 3 4 5 6 7 8 9 10 200 250 300 400 500 1 000 2 000 5 000 10 000 20 000 p n m 1 2 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 30 35 40 45 50 60 (continued) © ISO 2014 – All rights reserved 27 ISO 16269-6:2014(E) n m 1 2 3 4 5 6 7 8 9 10 70 80 90 100 150 200 250 300 400 500 1 000 2 000 5 000 10 000 20 000 p n m 1 2 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 30 (continued) 28 © ISO 2014 – All rights reserved ISO 16269-6:2014(E) n m 1 2 3 4 5 6 7 8 9 10 35 40 45 50 60 70 80 90 100 150 200 250 300 400 500 1 000 2 000 5 000 10 000 20 000 p n m 1 2 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 (continued) © ISO 2014 – All rights reserved 29 ISO 16269-6:2014(E) n m 1 2 3 4 5 6 7 8 9 10 22 24 26 28 30 35 40 45 50 60 70 80 90 100 150 200 250 300 400 500 1 000 2 000 5 000 10 000 20 000 p n m 1 2 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 (continued) 30 © ISO 2014 – All rights reserved ISO 16269-6:2014(E) n m 1 2 3 4 5 6 7 8 9 10 16 17 18 19 20 22 24 26 28 30 35 40 45 50 60 70 80 90 100 150 200 250 300 400 500 1 000 2 000 5 000 10 000 20 000 n m 1 2 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8 9 10 (continued) © ISO 2014 – All rights reserved 31 ISO 16269-6:2014(E) n m 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 30 35 40 45 50 60 70 80 90 100 150 200 250 300 400 500 1 000 2 000 5 000 10 000 20 000 p n m 1 2 3 4 5 6 7 8 9 10 2 3 4 5 (continued) 32 © ISO 2014 – All rights reserved ISO 16269-6:2014(E) n m 1 2 3 4 5 6 7 8 9 10 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 30 35 40 45 50 60 70 80 90 100 150 200 250 300 400 500 1 000 2 000 5 000 10 000 20 000 (continued) © ISO 2014 – All rights reserved 33 ISO 16269-6:2014(E) p n m 1 2 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 30 35 40 45 50 60 70 80 90 100 150 200 250 300 400 500 1 000 2 000 5 000 10 000 34 © ISO 2014 – All rights reserved ISO 16269-6:2014(E) n m 1 2 3 4 5 6 7 8 9 10 20 000 p n m 1 2 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 30 35 40 45 50 60 70 80 90 100 150 200 250 300 400 (continued) © ISO 2014 – All rights reserved 35 ISO 16269-6:2014(E) n m 1 2 3 4 5 6 7 8 9 10 500 1 000 2 000 5 000 10 000 20 000 p n m 1 2 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 30 35 40 45 50 60 70 80 90 100 (continued) 36 © ISO 2014 – All rights reserved ISO 16269-6:2014(E) n m 1 2 3 4 5 6 7 8 9 10 150 200 250 300 400 500 1 000 2 000 5 000 10 000 20 000 p n m 1 2 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 30 35 40 45 50 (continued) © ISO 2014 – All rights reserved 37 ISO 16269-6:2014(E) n m 1 2 3 4 5 6 7 8 9 10 60 70 80 90 100 150 200 250 300 400 500 1 000 2 000 5 000 10 000 20 000 p n m 1 2 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 (continued) 38 © ISO 2014 – All rights reserved ISO 16269-6:2014(E) n m 1 2 3 4 5 6 7 8 9 10 30 35 40 45 50 60 70 80 90 100 150 200 250 300 400 500 1 000 2 000 5 000 10 000 20 000 (continued) © ISO 2014 – All rights reserved 39