In an experiment... its just the first problem but I included all of the tables that you may need

Table A.4 Critical Values of the t-Distribution a U 0.40 0.30 0.20 0.15 0.10 0.05 0.025 0.325 0.727 1.376 1.963 3.078 6.314 12.706 0.289 0.617 1.061 1.386 1.886 2.920 4.303 0.277 0.584 0.978 1.250 1.638 2.353 3.182 0.271 0.569 0.941 1.190 1.533 2.132 2.776 0.267 0.559 0.920 1.156 1.476 2.015 2.571 0.265 0.553 0.906 1.134 1.440 1.943 2.447 0.263 0.549 0.896 1.119 1.415 1.895 2.365 0.262 0.546 0.889 1.108 1.397 1.860 2.306 0.261 0.543 0.883 1.100 1.383 1.833 2.262 10 0.260 0.542 0.879 1.093 1.372 1.812 2.228 11 0.260 0.540 0.876 1.088 1.363 1.796 2.201 12 0.259 0.539 0.873 1.083 1.356 1.782 2.179 13 0.259 0.538 0.870 1.079 1.350 1.771 2.160 14 0.258 0.537 0.868 1.076 1.345 1.761 2.145 15 0.258 0.536 0.866 1.074 1.341 1.753 2.131 16 0.258 0.535 0.865 1.071 1.337 1.746 2.120 17 0.257 0.534 0.863 1.069 1.333 1.740 2.110 18 0.257 0.534 0.862 1.067 1.330 1.734 2.101 19 0.257 0.533 0.861 1.066 1.328 1.729 2.093 20 0.257 0.533 0.860 1.064 1.325 1.725 2.086 21 0.257 0.532 0.859 1.063 1.323 1.721 2.080 22 0.256 0.532 0.858 1.061 1.321 1.717 2.074 23 0.256 0.532 0.858 1.060 1.319 1.714 2.069 24 0.256 0.531 0.857 1.059 1.318 1.711 2.064 25 0.256 0.531 0.856 1.058 1.316 1.708 2.060 26 0.256 0.531 0.856 1.058 1.315 1.706 2.056 27 0.256 0.531 0.855 1.057 1.314 1.703 2.052 28 0.256 0.530 0.855 1.056 1.313 1.701 2.048 29 0.256 0.530 0.854 1.055 1.311 1.699 2.045 30 0.256 0.530 0.854 1.055 1.310 1.697 2.042 40 0.255 0.529 0.851 1.050 1.303 1.684 2.021 60 0.254 0.527 0.848 1.045 1.296 1.671 2.000 120 0.254 0.526 0.845 1.041 1.289 1.658 1.980 DO 0.253 0.524 0.842 1.036 1.282 1.645 1.960Table A.4 (continued) Critical Values of the t-Distribution 0.02 0.015 0.01 0.0075 0.005 0.0025 0.0005 15.894 21.205 31.821 42.433 63.656 127.321 636.578 4.849 5.643 6.965 8.073 9.925 14.089 31.600 3.482 3.896 4.541 5.047 5.841 7.453 12.924 2.999 3.298 3.747 4.088 4.604 5.598 8.610 2.757 3.003 3.365 3.634 4.032 4.773 6.869 2.612 2.829 3.143 3.372 3.707 4.317 5.959 2.517 2.715 2.998 3.203 3.499 4.029 5.408 2.449 2.634 2.896 3.085 3.355 3.833 5.041 2.398 2.574 2.821 2.998 3.250 3.690 4.781 10 2.359 2.527 2.764 2.932 3.169 3.581 4.587 11 2.328 2.491 2.718 2.879 3.106 3.497 4.437 12 2.303 2.461 2.681 2.836 3.055 3.428 4.318 13 2.282 2.436 2.650 2.801 3.012 3.372 4.221 14 2.264 2.415 2.624 2.771 2.977 3.326 4.140 15 2.249 2.397 2.602 2.746 2.947 3.286 4.073 16 2.235 2.382 2.583 2.724 2.921 3.252 4.015 17 2.224 2.368 2.567 2.706 2.898 3.222 3.965 18 2.214 2.356 2.552 2.689 2.878 3.197 3.922 19 2.205 2.346 2.539 2.674 2.861 3.174 3.883 20 2.197 2.336 2.528 2.661 2.845 3.153 3.850 21 2.189 2.328 2.518 2.649 2.831 3.135 3.819 22 2.183 2.320 2.508 2.639 2.819 3.119 3.792 23 2.177 2.313 2.500 2.629 2.807 3.104 3.768 24 2.172 2.307 2.492 2.620 2.797 3.091 3.745 25 2.167 2.301 2.485 2.612 2.787 3.078 3.725 26 2.162 2.296 2.479 2.605 2.779 3.067 3.707 27 2.158 2.291 2.473 2.598 2.771 3.057 28 3.689 2.154 2.286 2.467 2.592 2.763 3.047 3.674 29 2.150 2.282 2.462 2.586 2.756 3.038 3.660 30 2.147 2.278 2.457 2.581 2.750 3.030 3.646 40 2.123 2.250 2.423 2.542 2.704 2.971 3.551 60 2.099 2.223 2.390 2.504 2.660 2.915 3.460 120 2.076 2.196 2.358 2.468 2.617 2.860 3.373 2.054 2.170 2.326 2.432 2.576 2.807 3.290Area Table A.3 Areas under the Normal Curve .00 .01 .02 03 04 05 .06 .07 .08 09 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 -0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641Table A.3 (continued) Areas under the Normal Curve Z .00 01 02 03 04 .05 06 .07 .08 09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998Table A.1 Binomial Probability Sums _ b(x; n, p) P n 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1 0 0.9000 0.8000 0.7500 0.7000 0.6000 0.5000 0.4000 0.3000 0.2000 0.1000 H 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 2 0 0.8100 0.6400 0.5625 0.4900 0.3600 0.2500 0.1600 0.0900 0.0400 0.0100 0.9900 0.9600 0.9375 0.9100 0.8400 0.7500 0.6400 0.5100 0.3600 0.1900 NH 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 3 0 0.7290 0.5120 0.4219 0.3430 0.2160 0.1250 0.0640 0.0270 0.0080 0.0010 0.9720 0.8960 0.8438 0.7840 0.6480 0.5000 0.3520 0.2160 0.1040 0.0280 0.9990 0.9920 0.9844 0.9730 0.9360 0.8750 0.7840 0.6570 0.4880 0.2710 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 4 0 0.6561 0.4096 0.3164 0.2401 0.1296 0.0625 0.0256 0.0081 0.0016 0.0001 0.9477 0.8192 0.7383 0.6517 0.4752 0.3125 0.1792 0.0837 0.0272 0.0037 09 NO H 0.9963 0.9728 0.9492 0.9163 0.8208 0.6875 0.5248 0.3483 0.1808 0.0523 0.9999 0.9984 0.9961 0.9919 0.9744 0.9375 0.8704 0.7599 0.5904 0.3439 4 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 5 0 0.5905 0.3277 0.2373 0.1681 0.0778 0.0313 0.0102 0.0024 0.0003 0.0000 0.9185 0.7373 0.6328 0.5282 0.3370 0.1875 0.0870 0.0308 0.0067 0.0005 0.9914 0.9421 0.8965 0.8369 0.6826 0.5000 0.3174 0.1631 0.0579 0.0086 0.9995 0.9933 0.9844 0.9692 0.9130 0.8125 0.6630 0.4718 0.2627 0.0815 1.0000 0.9997 0.9990 0.9976 0.9898 0.9688 0.9222 0.8319 0.6723 0.4095 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 6 0 0.5314 0.2621 0.1780 0.1176 0.0467 0.0156 0.0041 0.0007 0.0001 0.0000 0.8857 0.6554 0.5339 0.4202 0.2333 0.1094 0.0410 0.0109 0.0016 0.0001 0.9842 0.9011 0.8306 0.7443 0.5443 0.3438 0.1792 0.0705 0.0170 0.0013 0.9987 0.9830 0.9624 0.9295 0.8208 0.6563 0.4557 0.2557 0.0989 0.0159 0.9999 0.9984 0.9954 0.9891 0.9590 0.8906 0.7667 0.5798 0.3446 0.1143 1.0000 0.9999 0.9998 0.9993 0.9959 0.9844 0.9533 0.8824 0.7379 0.4686 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 7 0 0.4783 0.2097 0.1335 0.0824 0.0280 0.0078 0.0016 0.0002 0.0000 0.8503 0.5767 0.4449 0.3294 0.1586 0.0625 0.0188 0.0038 0.0004 0.0000 0.9743 0.8520 0.7564 0.6471 0.4199 0.2266 0.0963 0.0288 0.0047 0.0002 0.9973 0.9667 0.9294 0.8740 0.7102 0.5000 0.2898 0.1260 0.0333 0.0027 JONDOO NO H 0.9998 0.9953 0.9871 0.9712 0.9037 0.7734 0.5801 0.3529 0.1480 0.0257 1.0000 0.9996 0.9987 0.9962 0.9812 0.9375 0.8414 0.6706 0.4233 0.1497 1.0000 0.9999 0.9998 0.9984 0.9922 0.9720 0.9176 0.7903 0.5217 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000Table A.1 (continued) Binomial Probability Sums _ b(x; n, p) P n r 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 0 0.4305 0.1678 0.1001 0.0576 0.0168 0.0039 0.0007 0.0001 0.0000 0.8131 0.5033 0.3671 0.2553 0.1064 0.0352 0.0085 0.0013 0.0001 0.9619 0.7969 0.6785 0.5518 0.3154 0.1445 0.0498 0.0113 0.0012 0.0000 0.9950 0.9437 0.8862 0.8059 0.5941 0.3633 0.1737 0.0580 0.0104 0.0004 0.9996 0.9896 0.9727 0.9420 0.8263 0.6367 0.4059 0.1941 0.0563 0.0050 1.0000 0.9988 0.9958 0.9887 0.9502 0.8555 0.6846 0.4482 0.2031 0.0381 0.9999 0.9996 0.9987 0.9915 0.9648 0.8936 0.7447 0.4967 0.1869 1.0000 1.0000 0.9999 0.9993 0.9961 0.9832 0.9424 0.8322 0.5695 00 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 9 0 0.3874 0.1342 0.0751 0.0404 0.0101 0.0020 0.0003 0.0000 0.7748 0.4362 0.3003 0.1960 0.0705 0.0195 0.0038 0.0004 0.0000 0.9470 0.7382 0.6007 0.4628 0.2318 0.0898 0.0250 0.0043 0.0003 0.0000 TROONOH 0.9917 0.9144 0.8343 0.7297 0.4826 0.2539 0.0994 0.0253 0.0031 0.0001 0.9991 0.9804 0.9511 0.9012 0.7334 0.5000 0.2666 0.0988 0.0196 0.0009 0.9999 0.9969 0.9900 0.9747 0.9006 0.7461 0.5174 0.2703 0.0856 0.0083 6 1.0000 0.9997 0.9987 0.9957 0.9750 0.9102 0.7682 0.5372 0.2618 0.0530 1.0000 0.9999 0.9996 0.9962 0.9805 0.9295 0.8040 0.5638 0.2252 9 00 -1 1.0000 1.0000 0.9997 0.9980 0.9899 0.9596 0.8658 0.6126 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 10 0 0.3487 0.1074 0.0563 0.0282 0.0060 0.0010 0.0001 0.0000 0.7361 0.3758 0.2440 0.1493 0.0464 0.0107 0.0017 0.0001 0.0000 0.9298 0.6778 0.5256 0.3828 0.1673 0.0547 0.0123 0.0016 0.0001 0.9872 0.8791 0.7759 0.6496 0.3823 0.1719 0.0548 0.0106 0.0009 0.0000 0.9984 0.9672 0.9219 0.8497 0.6331 0.3770 0.1662 0.0473 0.0064 0.0001 0.9999 0.9936 0.9803 0.9527 0.8338 0.6230 0.3669 0.1503 0.0328 0.0016 6 1.0000 0.9991 0.9965 0.9894 0.9452 0.8281 0.6177 0.3504 0.1209 0.0128 7 0.9999 0.9996 0.9984 0.9877 0.9453 0.8327 0.6172 0.3222 0.0702 00 1.0000 1.0000 0.9999 0.9983 0.9893 0.9536 0.8507 0.6242 0.2639 1.0000 0.9999 0.9990 0.9940 0.9718 0.8926 0.6513 10 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 11 0 0.3138 0.0859 0.0422 0.0198 0.0036 0.0005 0.0000 0.6974 0.3221 0.1971 0.1130 0.0302 0.0059 0.0007 0.0000 0.9104 0.6174 0.4552 0.3127 0.1189 0.0327 0.0059 0.0006 0.0000 0.9815 0.8389 0.7133 0.5696 0.2963 0.1133 0.0293 0.0043 0.0002 0.9972 0.9496 0.8854 0.7897 0.5328 0.2744 0.0994 0.0216 0.0020 0.0000 5 0.9997 0.9883 0.9657 0.9218 0.7535 0.5000 0.2465 0.0782 0.0117 0.0003 6 1.0000 0.9980 0.9924 0.9784 0.9006 0.7256 0.4672 0.2103 0.0504 0.0028 7 0.9998 0.9988 0.9957 0.9707 0.8867 0.7037 0.4304 0.1611 0.0185 8 1.0000 0.9999 0.9994 0.9941 0.9673 0.8811 0.6873 0.3826 0.0896 9 1.0000 1.0000 0.9993 0.9941 0.9698 0.8870 0.6779 0.3026 10 1.0000 0.9995 0.9964 0.9802 0.9141 0.6862 11 1.0000 1.0000 1.0000 1.0000 1.0000Table A.1 (continued) Binomial Probability Sums _ b(r; n, p) 1=0 P r 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 12 0 0.2824 0.0687 0.0317 0.0138 0.0022 0.0002 0.0000 H 0.6590 0.2749 0.1584 0.0850 0.0196 0.0032 0.0003 0.0000 2 0.8891 0.5583 0.3907 0.2528 0.0834 0.0193 0.0028 0.0002 0.0000 3 0.9744 0.7946 0.6488 0.4925 0.2253 0.0730 0.0153 0.0017 0.0001 4 0.9957 0.9274 0.8424 0.7237 0.4382 0.1938 0.0573 0.0095 0.0006 0.0000 5 0.9995 0.9806 0.9456 0.8822 0.6652 0.3872 0.1582 0.0386 0.0039 0.0001 6 0.9999 0.9961 0.9857 0.9614 0.8418 0.6128 0.3348 0.1178 0.0194 0.0005 7 1.0000 0.9994 0.9972 0.9905 0.9427 0.8062 0.5618 0.2763 0.0726 0.0043 8 0.9999 0.9996 0.9983 0.9847 0.9270 0.7747 0.5075 0.2054 0.0256 9 1.0000 1.0000 0.9998 0.9972 0.9807 0.9166 0.7472 0.4417 0.1109 10 1.0000 0.9997 0.9968 0.9804 0.9150 0.7251 0.3410 11 1.0000 0.9998 0.9978 0.9862 0.9313 0.7176 12 1.0000 1.0000 1.0000 1.0000 1.0000 13 0 0.2542 0.0550 0.0238 0.0097 0.0013 0.0001 0.0000 0.6213 0.2336 0.1267 0.0637 0.0126 0.0017 0.0001 0.0000 0.8661 0.5017 0.3326 0.2025 0.0579 0.0112 0.0013 0.0001 0.9658 0.7473 0.5843 0.4206 0.1686 0.0461 0.0078 0.0007 0.0000 4 0.9935 0.9009 0.7940 0.6543 0.3530 0.1334 0.0321 0.0040 0.0002 5 0.9991 0.9700 0.9198 0.8346 0.5744 0.2905 0.0977 0.0182 0.0012 0.0000 6 0.9999 0.9930 0.9757 0.9376 0.7712 0.5000 0.2288 0.0624 0.0070 0.0001 7 1.0000 0.9988 0.9944 0.9818 0.9023 0.7095 0.4256 0.1654 0.0300 0.0009 8 0.9998 0.9990 0.9960 0.9679 0.8666 0.6470 0.3457 0.0991 0.0065 9 1.0000 0.9999 0.9993 0.9922 0.9539 0.8314 0.5794 0.2527 0.0342 10 1.0000 0.9999 0.9987 0.9888 0.9421 0.7975 0.4983 0.1339 11 1.0000 0.9999 0.9983 0.9874 0.9363 0.7664 0.3787 12 1.0000 0.9999 0.9987 0.9903 0.9450 0.7458 13 1.0000 1.0000 1.0000 1.0000 1.0000 14 0 0.2288 0.0440 0.0178 0.0068 0.0008 0.0001 0.0000 0.5846 0.1979 0.1010 0.0475 0.0081 0.0009 0.0001 0.8416 0.4481 0.2811 0.1608 0.0398 0.0065 0.0006 0.0000 0.9559 0.6982 0.5213 0.3552 0.1243 0.0287 0.0039 0.0002 4 0.9908 0.8702 0.7415 0.5842 0.2793 0.0898 0.0175 0.0017 0.0000 5 0.9985 0.9561 0.8883 0.7805 0.4859 0.2120 0.0583 0.0083 0.0004 6 0.9998 0.9884 0.9617 0.9067 0.6925 0.3953 0.1501 0.0315 0.0024 0.0000 7 1.0000 0.9976 0.9897 0.9685 0.8499 0.6047 0.3075 0.0933 0.0116 0.0002 8 0.9996 0.9978 0.9917 0.9417 0.7880 0.5141 0.2195 0.0439 0.0015 9 1.0000 0.9997 0.9983 0.9825 0.9102 0.7207 0.4158 0.1298 0.0092 10 1.0000 0.9998 0.9961 0.9713 0.8757 0.6448 0.3018 0.0441 11 1.0000 0.9994 0.9935 0.9602 0.8392 0.5519 0.1584 12 0.9999 0.9991 0.9919 0.9525 0.8021 0.4154 13 1.0000 0.9999 0.9992 0.9932 0.9560 0.7712 14 1.0000 1.0000 1.0000 1.0000 1.0000P n r 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 17 0 0.1668 0.0225 0.0075 0.0023 0.0002 0.0000 0.4818 0.1182 0.0501 0.0193 0.0021 0.0001 0.0000 0.7618 0.3096 0.1637 0.0774 0.0123 0.0012 0.0001 0.9174 0.5489 0.3530 0.2019 0.0464 0.0064 0.0005 0.0000 0.9779 0.7582 0.5739 0.3887 0.1260 0.0245 0.0025 0.0001 0.9953 0.8943 0.7653 0.5968 0.2639 0.0717 0.0106 0.0007 0.0000 6 0.9992 0.9623 0.8929 0.7752 0.4478 0.1662 0.0348 0.0032 0.0001 0.9999 0.9891 0.9598 0.8954 0.6405 0.3145 0.0919 0.0127 0.0005 1.0000 0.9974 0.9876 0.9597 0.8011 0.5000 0.1989 0.0403 0.0026 0.0000 9 0.9995 0.9969 0.9873 0.9081 0.6855 0.3595 0.1046 0.0109 0.0001 10 0.9999 0.9994 0.9968 0.9652 0.8338 0.5522 0.2248 0.0377 0.0008 11 1.0000 0.9999 0.9993 0.9894 0.9283 0.7361 0.4032 0.1057 0.0047 12 1.0000 0.9999 0.9975 0.9755 0.8740 0.6113 0.2418 0.0221 13 1.0000 0.9995 0.9936 0.9536 0.7981 0.4511 0.0826 14 0.9999 0.9988 0.9877 0.9226 0.6904 0.2382 15 1.0000 0.9999 0.9979 0.9807 0.8818 0.5182 16 1.0000 0.9998 0.9977 0.9775 0.8332 17 1.0000 1.0000 1.0000 1.0000 18 0 0.1501 0.0180 0.0056 0.0016 0.0001 0.0000 0.4503 0.0991 0.0395 0.0142 0.0013 0.0001 0.7338 0.2713 0.1353 0.0600 0.0082 0.0007 0.0000 0.9018 0.5010 0.3057 0.1646 0.0328 0.0038 0.0002 0.9718 0.7164 0.5187 0.3327 0.0942 0.0154 0.0013 0.0000 0.9936 0.8671 0.7175 0.5344 0.2088 0.0481 0.0058 0.0003 JOU 0.9988 0.9487 0.8610 0.7217 0.3743 0.1189 0.0203 0.0014 0.0000 0.9998 0.9837 0.9431 0.8593 0.5634 0.2403 0.0576 0.0061 0.0002 8 1.0000 0.9957 0.9807 0.9404 0.7368 0.4073 0.1347 0.0210 0.0009 9 0.9991 0.9946 0.9790 0.8653 0.5927 0.2632 0.0596 0.0043 0.0000 10 0.9998 0.9988 0.9939 0.9424 0.7597 0.4366 0.1407 0.0163 0.0002 11 1.0000 0.9998 0.9986 0.9797 0.8811 0.6257 0.2783 0.0513 0.0012 12 1.0000 0.9997 0.9942 0.9519 0.7912 0.4656 0.1329 0.0064 13 1.0000 0.9987 0.9846 0.9058 0.6673 0.2836 0.0282 14 0.9998 0.9962 0.9672 0.8354 0.4990 0.0982 15 1.0000 0.9993 0.9918 0.9400 0.7287 0.2662 16 0.9999 0.9987 0.9858 0.9009 0.5497 17 1.0000 0.9999 0.9984 0.9820 0.8499 18 1.0000 1.0000 1.0000 1.0000Table A.1 (continued) Binomial Probability Sums _ b(x; n, p) P n r 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 19 0 0.1351 0.0144 0.0042 0.0011 0.0001 0.4203 0.0829 0.0310 0.0104 0.0008 0.0000 0.7054 0.2369 0.1113 0.0462 0.0055 0.0004 0.0000 0.8850 0.4551 0.2631 0.1332 0.0230 0.0022 0.0001 0.9648 0.6733 0.4654 0.2822 0.0696 0.0096 0.0006 0.0000 5 0.9914 0.8369 0.6678 0.4739 0.1629 0.0318 0.0031 0.0001 0.9983 0.9324 0.8251 0.6655 0.3081 0.0835 0.0116 0.0006 7 0.9997 0.9767 0.9225 0.8180 0.4878 0.1796 0.0352 0.0028 0.0000 8 1.0000 0.9933 0.9713 0.9161 0.6675 0.3238 0.0885 0.0105 0.0003 9 0.9984 0.9911 0.9674 0.8139 0.5000 0.1861 0.0326 0.0016 10 0.9997 0.9977 0.9895 0.9115 0.6762 0.3325 0.0839 0.0067 0.0000 11 1.0000 0.9995 0.9972 0.9648 0.8204 0.5122 0.1820 0.0233 0.0003 12 0.9999 0.9994 0.9884 0.9165 0.6919 0.3345 0.0676 0.0017 13 1.0000 0.9999 0.9969 0.9682 0.8371 0.5261 0.1631 0.0086 14 1.0000 0.9994 0.9904 0.9304 0.7178 0.3267 0.0352 15 0.9999 0.9978 0.9770 0.8668 0.5449 0.1150 16 1.0000 0.9996 0.9945 0.9538 0.7631 0.2946 17 1.0000 0.9992 0.9896 0.9171 0.5797 18 0.9999 0.9989 0.9856 0.8649 19 1.0000 1.0000 1.0000 1.0000 20 0 0.1216 0.0115 0.0032 0.0008 0.0000 0.3917 0.0692 0.0243 0.0076 0.0005 0.0000 0.6769 0.2061 0.0913 0.0355 0.0036 0.0002 0.8670 0.4114 0.2252 0.1071 0.0160 0.0013 0.0000 0.9568 0.6296 0.4148 0.2375 0.0510 0.0059 0.0003 0.9887 0.8042 0.6172 0.4164 0.1256 0.0207 0.0016 0.0000 6 0.9976 0.9133 0.7858 0.6080 0.2500 0.0577 0.0065 0.0003 7 0.9996 0.9679 0.8982 0.7723 0.4159 0.1316 0.0210 0.0013 0.0000 8 0.9999 0.9900 0.9591 0.8867 0.5956 0.2517 0.0565 0.0051 0.0001 9 1.0000 0.9974 0.9861 0.9520 0.7553 0.4119 0.1275 0.0171 0.0006 10 0.9994 0.9961 0.9829 0.8725 0.5881 0.2447 0.0480 0.0026 0.0000 11 0.9999 0.9991 0.9949 0.9435 0.7483 0.4044 0.1133 0.0100 0.0001 12 1.0000 0.9998 0.9987 0.9790 0.8684 0.5841 0.2277 0.0321 0.0004 13 1.0000 0.9997 0.9935 0.9423 0.7500 0.3920 0.0867 0.0024 14 1.0000 0.9984 0.9793 0.8744 0.5836 0.1958 0.0113 15 0.9997 0.9941 0.9490 0.7625 0.3704 0.0432 16 1.0000 0.9987 0.9840 0.8929 0.5886 0.1330 17 0.9998 0.9964 0.9645 0.7939 0.3231 18 1.0000 0.9995 0.9924 0.9308 0.6083 19 1.0000 0.9992 0.9885 0.8784 20 1.0000 1.0000 1.0000Table A.5 Critical Values of the Chi-Squared Distribution U 0.995 0.99 0.98 0.975 0.95 0.90 0.80 0.75 0.70 0.50 0.04393 0.03157 0.03628 0.03982 0.00393 0.0158 0.0642 0.102 0.148 0.455 0.0100 0.0201 0.0404 0.0506 0.103 0.211 0.446 0.575 0.713 1.386 0.0717 0.115 0.185 0.216 0.352 0.584 1.005 1.213 1.424 2.366 4 0.207 0.297 0.429 0.484 0.711 1.064 1.649 1.923 2.195 3.357 5 0.412 0.554 0.752 0.831 1.145 1.610 2.343 2.675 3.000 4.351 6 0.676 0.872 1.134 1.237 1.635 2.204 3.070 3.455 3.828 5.348 7 0.989 1.239 1.564 1.690 2.167 2.833 3.822 4.255 4.671 6.346 1.344 1.647 2.032 2.180 2.733 3.490 4.594 5.071 5.527 7.344 1.735 2.088 2.532 2.700 3.325 4.168 5.380 5.899 6.393 8.343 10 2.156 2.558 3.059 3.247 3.940 4.865 6.179 6.737 7.267 9.342 11 2.603 3.053 3.609 3.816 4.575 5.578 6.989 7.584 8.148 10.341 12 3.074 3.571 4.178 4.404 5.226 6.304 7.807 8.438 9.034 11.340 13 3.565 4.107 4.765 5.009 5.892 7.041 8.634 9.299 9.926 12.340 14 4.075 4.660 5.368 5.629 6.571 7.790 9.467 10.165 10.821 13.339 15 4.601 5.229 5.985 6.262 7.261 8.547 10.307 11.037 11.721 14.339 16 5.142 5.812 6.614 6.908 7.962 9.312 11.152 11.912 12.624 15.338 17 5.697 6.408 7.255 7.564 8.672 10.085 12.002 12.792 13.531 16.338 18 6.265 7.015 7.906 8.231 9.390 10.865 12.857 13.675 14.440 17.338 19 6.844 7.633 8.567 8.907 10.117 11.651 13.716 14.562 15.352 18.338 20 7.434 8.260 9.237 9.591 10.851 12.443 14.578 15.452 16.266 19.337 21 8.034 8.897 9.915 10.283 11.591 13.240 15.445 16.344 17.182 20.337 22 8.643 9.542 10.600 10.982 12.338 14.041 16.314 17.240 18.101 21.337 23 9.260 10.196 11.293 11.689 13.091 14.848 17.187 18.137 19.021 22.337 24 9.886 10.856 11.992 12.401 13.848 15.659 18.062 19.037 19.943 23.337 25 10.520 11.524 12.697 13.120 14.611 16.473 18.940 19.939 20.867 24.337 26 11.160 12.198 13.409 13.844 15.379 17.292 19.820 20.843 21.792 25.336 27 11.808 12.878 14.125 14.573 16.151 18.114 20.703 21.749 22.719 26.336 28 12.461 13.565 14.847 15.308 16.928 18.939 21.588 22.657 23.647 27.336 29 13.121 14.256 15.574 16.047 17.708 19.768 22.475 23.567 24.577 28.336 30 13.787 14.953 16.306 16.791 18.493 20.599 23.364 24.478 25.508 29.336 ) 20.707 22.164 23.838 24.433 26.509 29.051 32.345 33.66 34.872 39.335 50 27.991 29.707 31.664 32.357 34.764 37.689 41.449 42.942 44.313 49.335 60 35.534 37.485 39.699 40.482 43.188 46.459 50.641 52.294 53.809 59.335\fProblem 1. (+10) In an experiment to study the relationship of hypertension and smoking habits, the following data are collected for 180 individuals: Nonsmokers Moderate Smokers Heavy Smokers H 48 26 21 NH 36 30 19 Where H and NH in the table stand for Hypertension and Nonhypertension, respectively. If one of these individuals is selected at random, nd the probability that the person is (a) experiencing hypertension, given that the person is a heavy smoker; (b) a nonsmoker, given that the person is experiencing no hypertension