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34. A football fan from XJTLU conducted the following analysis for the local Tiger footba team. He randomly selected a sample of 15 games from the last five seasons. He interested to know if the number of fans at each game may affect the number of poin Tiger scores. The output from his analysis is below: (? in the table denotes the missin information.) Model Summary R Square ? a. Predictors: (Constant), Attendance at Game Model 1 Model 1 Regression Residual Total R .601ª Model 1 (Constant) Sum of Squares 935.265 1570.235 Attendance at Game ANOVAª df 1 13 ? a. Dependent Variable: Points Tiger Scored b. Predictors: (Constant), Attendance at Game Coefficients B 54.158 -0.000388 Adjusted R Square .312 Mean Square ? ? Unstandardized Coefficients Std. Error 10.414 .000 a. Dependent Variable: Points Tiger Scored Standardized Coefficients Beta -0.604 Std. Error of the Estimate 11.573 F 7.744 Sig. .018b t Sig .000 5.200 -2.699.018 a) What is the equation of the least-squares regression line for the number of points scored? Interpret the intercept and slope of the least-squares regression line. b) Specify the value for the sum of squares total, degrees of freedom total, mean square model and mean square error respectively.

34. A football fan from XJTLU conducted the following analysis for the local Tiger footba team. He randomly selected a sample of 15 games from the last five seasons. He interested to know if the number of fans at each game may affect the number of poin Tiger scores. The output from his analysis is below: (? in the table denotes the missin information.) Model Summary R Square ? a. Predictors: (Constant), Attendance at Game Model 1 Model 1 Regression Residual Total R .601ª Model 1 (Constant) Sum of Squares 935.265 1570.235 Attendance at Game ANOVAª df 1 13 ? a. Dependent Variable: Points Tiger Scored b. Predictors: (Constant), Attendance at Game Coefficients B 54.158 -0.000388 Adjusted R Square .312 Mean Square ? ? Unstandardized Coefficients Std. Error 10.414 .000 a. Dependent Variable: Points Tiger Scored Standardized Coefficients Beta -0.604 Std. Error of the Estimate 11.573 F 7.744 Sig. .018b t Sig .000 5.200 -2.699.018 a) What is the equation of the least-squares regression line for the number of points scored? Interpret the intercept and slope of the least-squares regression line. b) Specify the value for the sum of squares total, degrees of freedom total, mean square model and mean square error respectively.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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B4. A football fan from XJTLU conducted the following analysis for the local Tiger football team. He randomly selected a sample of 15 games from the last five seasons. He is interested to know if the number of fans at each game may affect the number of points Tiger scores. The output from his analysis is below: (? in the table denotes the missing information.) Model Summary R Square ? a. Predictors: (Constant), Attendance at Game Model Model 1 Regression Residual Total R .601a Model 1 (Constant) Sum of Squares 935.265 1570.235 Attendance at Game ANOVA df 1 13 ? ? a. Dependent Variable: Points Tiger Scored b. Predictors: (Constant), Attendance at Game B 54.158 -0.000388 Mean Square ? Adjusted R Square .312 Unstandardized Coefficients Std. Error 10.414 .000 a. Dependent Variable: Points Tiger Scored Coefficients a Standardized Coefficients Beta -0.604 Std. Error of the Estimate 11.573 F 7.744 Sig. .018b t Sig. 5.200 .000 -2.699 .018 a) What is the equation of the least-squares regression line for the number of points scored? Interpret the intercept and slope of the least-squares regression line. b) Specify the value for the sum of squares total, degrees of freedom total, mean square model and mean square error respectively.
Transcribed Image Text:B4. A football fan from XJTLU conducted the following analysis for the local Tiger football team. He randomly selected a sample of 15 games from the last five seasons. He is interested to know if the number of fans at each game may affect the number of points Tiger scores. The output from his analysis is below: (? in the table denotes the missing information.) Model Summary R Square ? a. Predictors: (Constant), Attendance at Game Model Model 1 Regression Residual Total R .601a Model 1 (Constant) Sum of Squares 935.265 1570.235 Attendance at Game ANOVA df 1 13 ? ? a. Dependent Variable: Points Tiger Scored b. Predictors: (Constant), Attendance at Game B 54.158 -0.000388 Mean Square ? Adjusted R Square .312 Unstandardized Coefficients Std. Error 10.414 .000 a. Dependent Variable: Points Tiger Scored Coefficients a Standardized Coefficients Beta -0.604 Std. Error of the Estimate 11.573 F 7.744 Sig. .018b t Sig. 5.200 .000 -2.699 .018 a) What is the equation of the least-squares regression line for the number of points scored? Interpret the intercept and slope of the least-squares regression line. b) Specify the value for the sum of squares total, degrees of freedom total, mean square model and mean square error respectively.
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 TABLE A Standard Normal probabilities (continued) .01 .02 .5040 .5080 5438 5478 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 TABLE B Random digits Line 101 102 143 144 145 146 147 148 Table entry for z is the area under the standard Normal curve to the left of z. 149 150 TABLE D .00 .5000 .5398 .5793 .6179 .6554 .6915 .7257 .7580 7881 .8159 .8413 .8643 .8849 .9032 .9192 .9332 .9452 .9554 .9641 9713 9772 .9821 .9861 9893 .9918 .9938 .9953 .9965 9974 9981 9987 9990 9993 .9995 9997 19223 73676 45467 52711 95592 68417 82739 60940 36009 38448 81486 59636 62568 45149 61041 14459 38167 73190 95857 35476 71487 13873 54580 71035 96746 96927 43909 15689 36759 69051 05007 68732 45740 27816 66925 08421 53645 66831 55588 12975 96767 72829 88565 62964 5832 .6217 .6591 19687 37609 54973 00694 71546 07511 .6950 .7291 .7611 .7910 .8186 .8438 .8665 .8869 .9049 .9207 9345 .9463 .9564 9649 .9719 .9778 9826 9864 9896 .9920 .9940 .9955 .9966 .9975 .9982 9987 .9991 .9993 .9995 9997 95034 47150 71709 38889 94007 35013 57890 72024 df 1 2 0.816 1.061 19365 48789 69487 88804 70206 32992 77684 26056 98532 32533 07118 55972 09984 81598 81507 09001 12149 19931 99477 14227 58984 64817 16632 55259 41807 78416 19 0.688 0.861 20 0.687 0.860 21 0.686 0.859 55658 44753 66812 68908 99404 13258 35964 50232 42628 88145 12633 59057 86278 05977 05233 88915 5871 .6255 .6628 .6985 .7324 .7642 7939 .8212 .8461 .8686 .8888 .9066 9222 9357 .9474 .9573 .9656 .9726 9783 .9830 9868 25 .20 .15 1.000 1.376 1.963 .9898 .9922 9941 .9956 .9967 .9976 9982 t distribution critical values 9987 .9991 .9994 .9995 .9997 .03 .5120 .5517 .5910 .6293 Table entry for p and C is the critical value t* with probability p lying to its right and probability C lying between -t" and t". .6664 .7019 .7357 .7673 .7967 8238 .8485 .8708 .8907 .9082 .9236 .9370 .9484 .9582 9664 9732 9788 9834 9871 .9901 .9925 .9943 .9957 .9968 .9977 .9983 .9988 .9991 9994 .9996 .9997 05756 99400 77558 93074 69971 15529 20807 17868 15412 18338 60513 04634 40325 75730 94322 31424 62183 04470 87664 39421 29077 95052 27102 43367 37823 36089 25330 06565 68288 87174 81194 84292 65561 18329 39100 77377 61421 40772 70708 13048 23822 97892 17797 83083 57857 66967 88737 19664 53946 41267 Probability .04 5160 .5557 .5948 .6331 .6700 .7054 .7389 .7704 .7995 .8264 8508 .8729 .8925 .9099 .9251 .9382 .9495 .9591 .9671 9738 9793 9838 .9875 .9904 9927 .9945 .9959 .9969 9977 .9984 9988 .9992 .9994 .9996 .9997 28713 01927 00095 60227 91481 72765 47511 24943 39638 24697 09297 71197 03699 66280 24709 80371 70632 29669 92099 65850 14863 90908 56027 49497 71868 74192 64359 14374 22913 09517 14873 08796 33302 21337 78458 28744 47836 21558 41098 45144 96012 63408 49376 69453 95806 83401 74351 65441 68743 16853 .05 5199 5596 5987 .6368 .6736 .7088 .7422 .7734 .8023 .8289 .8531 .8749 .8944 .9115 .9265 .9394 .9505 .9599 .9678 9744 9798 .9842 9878 .9906 .9929 9946 .9960 .9970 9978 .9984 .9989 .9992 9994 .9996 9997 1.042 1.290 1.660 1.984 1.037 1.282 1.646 1.962 2.056 1.036 1.282 1.645 90% 1.960 2.054 95% 96% 70% 80% Confidence level C 96409 27754 32863 40011 60779 85089 81676 61790 85453 39364 00412 19352 71080 03819 73698 65103 23417 84407 58806 04266 61683 73592 55892 72719 18442 77567 40085 13352 18638 84534 04197 43165 07051 35213 11206 75592 12609 47781 43563 72321 94591 77919 61762 46109 09931 60705 47500 20903 72460 84569 .06 .5239 .5636 .6026 .6406 .6772 .7123 .7454 .7764 .8051 .8315 .8554 .8770 .8962 .9131 .9279 .9406 .9515 9608 .9686 .9750 .9803 9846 9881 .9909 .9931 .9948 .9961 .9971 .9979 .9985 9989 .9992 .9994 .9996 9997 12531 42648 29485 85848 53791 57067 55300 90656 46816 42006 71238 73089 22553 56202 14526 62253 26185 90785 66979 35435 47052 75186 33063 96758 35119 88741 16925 49367 54303 06489 85576 93739 93623 37741 19876 08563 15373 33586 56934 81940 65194 44575 16953 59505 02150 02384 84552 62371 27601 79367 .07 5279 .5675 .6064 .6443 .6808 .7157 7486 .7794 .8078 .7823 .8106 .8365 .8599 .8810 .8997 .9162 9306 .9429 .9535 .9625 .9699 .9756 .9761 .9808 .9812 .9850 9854 .9884 9887 9911 9913 .9934 .9951 .9963 .9973 .9980 .8340 .8577 .8790 .8980 .9147 .9292 9418 .9525 .9616 9693 .9932 .9949 .9962 .9972 .9979 9985 .9989 .9992 .9995 9996 9997 .08 .5319 5714 .6103 .6480 .6844 .7190 7517 42544 82425 82226 48767 .9986 .9990 9993 .9995 9996 .9997 17297 50211 94383 87964 83485 76688 27649 84898 11486 02938 31893 50490 41448 65956 98624 43742 62224 87136 41842 27611 62103 48409 85117 81982 00795 87201 45195 31685 Upper-tail probability p .01 .005 .0025 .001 .0005 .10 .05 .025 .02 3.078 6.314 12.71 15.89 31.82 63.66 127.3 318.3 636.6 1.386 1.886 2.920 4.303 4.849 6.965 9925 14.09 22.33 3 0.765 0.978 4 0.741 0.941 1.250 1.638 2.353 1.190 1.156 5 0.727 0.920 1.533 2.132 1.476 2.015 1.440 1.943 1.415 1.895 6 0.718 0.906 1.134 7 0.711 0.896 1.119 3.182 3.482 4.541 5.841 7.453 10.21 12.92 2.776 2.999 3.747 4.604 5.598 7.173 8.610 2.571 2.757 3.365 4.032 4.773 5.893 6.869 2.447 2.612 3.143 3.707 4.317 5.208 5.959 2.365 2.517 2.998 3.499 4.029 4.785 5.408 8 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 4.501 5.041 9 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 1.372 1.812 2.228 2.359 2.764 1.363 1.796 2.201 2.328 2.718 1.356 1.782 2.179 2.303 2.681 1 350 1.771 2.160 2.282 2.650 1.345 1.761 2.145 2.264 2.624 1.341 1.753 2.131 2.249 2.602 10 0.700 0.879 1.093 11 0.697 0.876 1.088 12 0.695 0.873 1.083 13 0.694 0.870 1.079 14 0.692 0.868 1.076 15 0.691 0.866 1.074 16 0.690 0.865 1.071 3.250 3.690 4.297 4.781 3.169 3.581 4.144 4.587 3.106 3.497 4.025 4.437 3.055 3.428 3.930 4.318 3012 3.372 3.852 4.221 2.977 3.326 3.787 4.140 2.947 3.286 3.733 4.073 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 17 0.689 0.863 1.069 18 0.688 0.862 1.067 18132 04312 87151 Probability p 79140 98481 79177 48394 00360 50842 24870 88604 69680 43163 90597 19909 22725 45403 32337 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965 1.330 1.734 2.101 2.214 2.552 1.323 1.721 1.321 1.717 23 0.685 0.858 1.060 1.319 1.714 24 0.685 0.857 1.059 25 0.684 0.856 1.058 26 0.684 0.856 1.058 27 0.684 0.855 1.057 0.683 0.855 1.056 2.878 3.197 3.611 3.922 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850 1.063 2.080 2.189 2.518 2.831 3.135 3.527 3.819 22 0.686 0.858 1.061 2.074 2.183 2.508 2.819 3.119 3.505 3.792 2,069 2.177 2.500 2.807 3.104 3.485 3.768 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.745 1.316 1.708 2.060 2.167 2.485 2.787 3.078 3.450 3.725 1.315 1.706 2.056 2.162 2.479 2.779 3.067 3.435 3.707 1.314 1.703 2.052 2.158 2.473 2.771 3.057 3.421 3.690 1.313 1.701 2.048 2.154 2.467 2.763 3.047 3.408 3.674 1.311 1.699 2.045 2.150 2.462 2.756 3.038 3.396 3.659 1.310 1.697 2.042 2.147 2.457 2.750 3.030 3.385 3.646 1.303 1.684 2.021 2.123 2.423 2.704 1299 1.676 2009 2.109 2.403 2678 28 29 0.683 0.854 1.055 30 0.683 0.854 40 0.681 0.851 1.050 50 0.679 0.849 1.047 60 0.679 0.848 1.045 1.296 1.671 2.000 2.099 2.390 80 0.678 0.846 1.043 1.292 1.664 100 0.677 0.845 1000 0.675 0.842 2* 0.674 0.841 50% 60% 2.971 3.307 2937 3261 2.660 2.915 3.232 1.990 2.088 2.374 2.639 2.887 3.195 2.081 2.364 2.626 2.871 3.174 3.551 3.496 3.460 3.416 3.390 3 300 2.330 2 581 2.813 3.098 2.326 2.576 2.807 3.091 3.291 98% 99% 99.5% 99.8% 99.9% .09 .5359 .5753 .6141 .6517 .6879 .7224 .7549 7852 .8133 .8389 .8621 .8830 9015 .9177 .9319 .9441 9545 9633 .9706 9767 .9817 9857 .9890 .9916 .9936 .9952 9964 .9974 9981 9986 .9990 9993 9995 9997 9998 82853 36290 90056 52573 59335 47487 14893 18883 41979 08708 39950 45785 11776 70915 32592 61181 75532 86382 84826 11937 51025 95761 81868 91596 39244 41903 36071 87209 08727 97245 96565 97150 09547 68508 31260 92454 14592 06928 51719 02428 53372 04178 12724 00900 58636 93600 67181 53340 88692 03316
Transcribed Image Text:0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 TABLE A Standard Normal probabilities (continued) .01 .02 .5040 .5080 5438 5478 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 TABLE B Random digits Line 101 102 143 144 145 146 147 148 Table entry for z is the area under the standard Normal curve to the left of z. 149 150 TABLE D .00 .5000 .5398 .5793 .6179 .6554 .6915 .7257 .7580 7881 .8159 .8413 .8643 .8849 .9032 .9192 .9332 .9452 .9554 .9641 9713 9772 .9821 .9861 9893 .9918 .9938 .9953 .9965 9974 9981 9987 9990 9993 .9995 9997 19223 73676 45467 52711 95592 68417 82739 60940 36009 38448 81486 59636 62568 45149 61041 14459 38167 73190 95857 35476 71487 13873 54580 71035 96746 96927 43909 15689 36759 69051 05007 68732 45740 27816 66925 08421 53645 66831 55588 12975 96767 72829 88565 62964 5832 .6217 .6591 19687 37609 54973 00694 71546 07511 .6950 .7291 .7611 .7910 .8186 .8438 .8665 .8869 .9049 .9207 9345 .9463 .9564 9649 .9719 .9778 9826 9864 9896 .9920 .9940 .9955 .9966 .9975 .9982 9987 .9991 .9993 .9995 9997 95034 47150 71709 38889 94007 35013 57890 72024 df 1 2 0.816 1.061 19365 48789 69487 88804 70206 32992 77684 26056 98532 32533 07118 55972 09984 81598 81507 09001 12149 19931 99477 14227 58984 64817 16632 55259 41807 78416 19 0.688 0.861 20 0.687 0.860 21 0.686 0.859 55658 44753 66812 68908 99404 13258 35964 50232 42628 88145 12633 59057 86278 05977 05233 88915 5871 .6255 .6628 .6985 .7324 .7642 7939 .8212 .8461 .8686 .8888 .9066 9222 9357 .9474 .9573 .9656 .9726 9783 .9830 9868 25 .20 .15 1.000 1.376 1.963 .9898 .9922 9941 .9956 .9967 .9976 9982 t distribution critical values 9987 .9991 .9994 .9995 .9997 .03 .5120 .5517 .5910 .6293 Table entry for p and C is the critical value t* with probability p lying to its right and probability C lying between -t" and t". .6664 .7019 .7357 .7673 .7967 8238 .8485 .8708 .8907 .9082 .9236 .9370 .9484 .9582 9664 9732 9788 9834 9871 .9901 .9925 .9943 .9957 .9968 .9977 .9983 .9988 .9991 9994 .9996 .9997 05756 99400 77558 93074 69971 15529 20807 17868 15412 18338 60513 04634 40325 75730 94322 31424 62183 04470 87664 39421 29077 95052 27102 43367 37823 36089 25330 06565 68288 87174 81194 84292 65561 18329 39100 77377 61421 40772 70708 13048 23822 97892 17797 83083 57857 66967 88737 19664 53946 41267 Probability .04 5160 .5557 .5948 .6331 .6700 .7054 .7389 .7704 .7995 .8264 8508 .8729 .8925 .9099 .9251 .9382 .9495 .9591 .9671 9738 9793 9838 .9875 .9904 9927 .9945 .9959 .9969 9977 .9984 9988 .9992 .9994 .9996 .9997 28713 01927 00095 60227 91481 72765 47511 24943 39638 24697 09297 71197 03699 66280 24709 80371 70632 29669 92099 65850 14863 90908 56027 49497 71868 74192 64359 14374 22913 09517 14873 08796 33302 21337 78458 28744 47836 21558 41098 45144 96012 63408 49376 69453 95806 83401 74351 65441 68743 16853 .05 5199 5596 5987 .6368 .6736 .7088 .7422 .7734 .8023 .8289 .8531 .8749 .8944 .9115 .9265 .9394 .9505 .9599 .9678 9744 9798 .9842 9878 .9906 .9929 9946 .9960 .9970 9978 .9984 .9989 .9992 9994 .9996 9997 1.042 1.290 1.660 1.984 1.037 1.282 1.646 1.962 2.056 1.036 1.282 1.645 90% 1.960 2.054 95% 96% 70% 80% Confidence level C 96409 27754 32863 40011 60779 85089 81676 61790 85453 39364 00412 19352 71080 03819 73698 65103 23417 84407 58806 04266 61683 73592 55892 72719 18442 77567 40085 13352 18638 84534 04197 43165 07051 35213 11206 75592 12609 47781 43563 72321 94591 77919 61762 46109 09931 60705 47500 20903 72460 84569 .06 .5239 .5636 .6026 .6406 .6772 .7123 .7454 .7764 .8051 .8315 .8554 .8770 .8962 .9131 .9279 .9406 .9515 9608 .9686 .9750 .9803 9846 9881 .9909 .9931 .9948 .9961 .9971 .9979 .9985 9989 .9992 .9994 .9996 9997 12531 42648 29485 85848 53791 57067 55300 90656 46816 42006 71238 73089 22553 56202 14526 62253 26185 90785 66979 35435 47052 75186 33063 96758 35119 88741 16925 49367 54303 06489 85576 93739 93623 37741 19876 08563 15373 33586 56934 81940 65194 44575 16953 59505 02150 02384 84552 62371 27601 79367 .07 5279 .5675 .6064 .6443 .6808 .7157 7486 .7794 .8078 .7823 .8106 .8365 .8599 .8810 .8997 .9162 9306 .9429 .9535 .9625 .9699 .9756 .9761 .9808 .9812 .9850 9854 .9884 9887 9911 9913 .9934 .9951 .9963 .9973 .9980 .8340 .8577 .8790 .8980 .9147 .9292 9418 .9525 .9616 9693 .9932 .9949 .9962 .9972 .9979 9985 .9989 .9992 .9995 9996 9997 .08 .5319 5714 .6103 .6480 .6844 .7190 7517 42544 82425 82226 48767 .9986 .9990 9993 .9995 9996 .9997 17297 50211 94383 87964 83485 76688 27649 84898 11486 02938 31893 50490 41448 65956 98624 43742 62224 87136 41842 27611 62103 48409 85117 81982 00795 87201 45195 31685 Upper-tail probability p .01 .005 .0025 .001 .0005 .10 .05 .025 .02 3.078 6.314 12.71 15.89 31.82 63.66 127.3 318.3 636.6 1.386 1.886 2.920 4.303 4.849 6.965 9925 14.09 22.33 3 0.765 0.978 4 0.741 0.941 1.250 1.638 2.353 1.190 1.156 5 0.727 0.920 1.533 2.132 1.476 2.015 1.440 1.943 1.415 1.895 6 0.718 0.906 1.134 7 0.711 0.896 1.119 3.182 3.482 4.541 5.841 7.453 10.21 12.92 2.776 2.999 3.747 4.604 5.598 7.173 8.610 2.571 2.757 3.365 4.032 4.773 5.893 6.869 2.447 2.612 3.143 3.707 4.317 5.208 5.959 2.365 2.517 2.998 3.499 4.029 4.785 5.408 8 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 4.501 5.041 9 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 1.372 1.812 2.228 2.359 2.764 1.363 1.796 2.201 2.328 2.718 1.356 1.782 2.179 2.303 2.681 1 350 1.771 2.160 2.282 2.650 1.345 1.761 2.145 2.264 2.624 1.341 1.753 2.131 2.249 2.602 10 0.700 0.879 1.093 11 0.697 0.876 1.088 12 0.695 0.873 1.083 13 0.694 0.870 1.079 14 0.692 0.868 1.076 15 0.691 0.866 1.074 16 0.690 0.865 1.071 3.250 3.690 4.297 4.781 3.169 3.581 4.144 4.587 3.106 3.497 4.025 4.437 3.055 3.428 3.930 4.318 3012 3.372 3.852 4.221 2.977 3.326 3.787 4.140 2.947 3.286 3.733 4.073 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 17 0.689 0.863 1.069 18 0.688 0.862 1.067 18132 04312 87151 Probability p 79140 98481 79177 48394 00360 50842 24870 88604 69680 43163 90597 19909 22725 45403 32337 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965 1.330 1.734 2.101 2.214 2.552 1.323 1.721 1.321 1.717 23 0.685 0.858 1.060 1.319 1.714 24 0.685 0.857 1.059 25 0.684 0.856 1.058 26 0.684 0.856 1.058 27 0.684 0.855 1.057 0.683 0.855 1.056 2.878 3.197 3.611 3.922 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850 1.063 2.080 2.189 2.518 2.831 3.135 3.527 3.819 22 0.686 0.858 1.061 2.074 2.183 2.508 2.819 3.119 3.505 3.792 2,069 2.177 2.500 2.807 3.104 3.485 3.768 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.745 1.316 1.708 2.060 2.167 2.485 2.787 3.078 3.450 3.725 1.315 1.706 2.056 2.162 2.479 2.779 3.067 3.435 3.707 1.314 1.703 2.052 2.158 2.473 2.771 3.057 3.421 3.690 1.313 1.701 2.048 2.154 2.467 2.763 3.047 3.408 3.674 1.311 1.699 2.045 2.150 2.462 2.756 3.038 3.396 3.659 1.310 1.697 2.042 2.147 2.457 2.750 3.030 3.385 3.646 1.303 1.684 2.021 2.123 2.423 2.704 1299 1.676 2009 2.109 2.403 2678 28 29 0.683 0.854 1.055 30 0.683 0.854 40 0.681 0.851 1.050 50 0.679 0.849 1.047 60 0.679 0.848 1.045 1.296 1.671 2.000 2.099 2.390 80 0.678 0.846 1.043 1.292 1.664 100 0.677 0.845 1000 0.675 0.842 2* 0.674 0.841 50% 60% 2.971 3.307 2937 3261 2.660 2.915 3.232 1.990 2.088 2.374 2.639 2.887 3.195 2.081 2.364 2.626 2.871 3.174 3.551 3.496 3.460 3.416 3.390 3 300 2.330 2 581 2.813 3.098 2.326 2.576 2.807 3.091 3.291 98% 99% 99.5% 99.8% 99.9% .09 .5359 .5753 .6141 .6517 .6879 .7224 .7549 7852 .8133 .8389 .8621 .8830 9015 .9177 .9319 .9441 9545 9633 .9706 9767 .9817 9857 .9890 .9916 .9936 .9952 9964 .9974 9981 9986 .9990 9993 9995 9997 9998 82853 36290 90056 52573 59335 47487 14893 18883 41979 08708 39950 45785 11776 70915 32592 61181 75532 86382 84826 11937 51025 95761 81868 91596 39244 41903 36071 87209 08727 97245 96565 97150 09547 68508 31260 92454 14592 06928 51719 02428 53372 04178 12724 00900 58636 93600 67181 53340 88692 03316
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