696 TABLES Table entry for z is the area under the Table entry standard Normal curve to the left of z. TABLE A Standard normal cumulative proportions .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 .0003...


Use Table A to find the proportion of observations (±0.0001) from a standard Normal distribution that falls in each of the following regions.






(a) z≤−2.17:





















(b) z≥−2.17:





















(c) z>1.67:





















(d) −2.17<><>












696<br>TABLES<br>Table entry for z is the area under the<br>Table entry<br>standard Normal curve to the left of z.<br>TABLE A Standard normal cumulative proportions<br>.00<br>.01<br>.02<br>.03<br>.04<br>.05<br>.06<br>.07<br>.08<br>.09<br>-3.4<br>.0003<br>.0003<br>.0003<br>.0003<br>.0003<br>.0003<br>.0003<br>.0003<br>.0003<br>.0002<br>.0003<br>.0005<br>.0007<br>.0005<br>.0004<br>.0006<br>-3.3<br>.0005<br>.0005<br>.0004<br>.0004<br>.0004<br>.0004<br>.0004<br>-3.2<br>.0007<br>.0007<br>.0006<br>.0006<br>.0006<br>.0006<br>.0005<br>.0005<br>-3.1<br>.0010<br>.0009<br>.0009<br>.0009<br>.0008<br>.0008<br>.0008<br>.0008<br>.0007<br>-3.0<br>.0013<br>.0013<br>.0013<br>.0012<br>.0012<br>.0011<br>.0011<br>.0011<br>.0010<br>.0010<br>-2.9<br>.0019<br>.0018<br>.0018<br>.0017<br>.0016<br>.0016<br>.0015<br>.0015<br>.0014<br>.0014<br>.0023<br>.0032<br>-2.8<br>.0026<br>.0025<br>.0024<br>.0023<br>.0022<br>.0021<br>.0021<br>.0020<br>.0019<br>-2.7<br>.0035<br>.0034<br>.0033<br>.0031<br>.0030<br>.0029<br>.0028<br>.0027<br>.0026<br>-2.6<br>.0047<br>.0045<br>.0044<br>.0043<br>.0041<br>.0040<br>.0054<br>.0039<br>.0038<br>.0037<br>.0036<br>-2.5<br>.0062<br>.0060<br>.0059<br>.0057<br>.0055<br>.0052<br>.0051<br>.0049<br>.0048<br>-2.4<br>.0064<br>.0084<br>.0082<br>.0080<br>.0078<br>.0075<br>.0073<br>.0071<br>.0069<br>.0068<br>.0066<br>-2.3<br>.0107<br>.0104<br>.0102<br>.0099<br>.0096<br>.0094<br>.0091<br>.0089<br>.0087<br>-2.2<br>.0139<br>.0136<br>.0132<br>.0129<br>.0125<br>.0122<br>.0119<br>.0116<br>.0113<br>.0110<br>.0174<br>.0222<br>.0170<br>.0217<br>-2.1<br>.0179<br>.0166<br>.0162<br>.0158<br>.0154<br>.0150<br>.0146<br>.0143<br>-2.0<br>.0228<br>.0212<br>.0207<br>.0202<br>.0197<br>.0192<br>.0188<br>.0183<br>.0274<br>.0287<br>.0359<br>.0281<br>.0268<br>.0262<br>.0256<br>.0250<br>.0233<br>.0244<br>.0307<br>.0384<br>-1.9<br>.0239<br>.0314<br>- 1.8<br>- 1.7<br>.0336<br>.0418<br>.0516<br>.0329<br>.0409<br>.0351<br>.0344<br>.0322<br>.0301<br>.0294<br>.0446<br>.0436<br>.0427<br>.0401<br>.0392<br>.0375<br>.0367<br>.0485<br>.0505<br>.0618<br>.0455<br>.0548<br>.0668<br>-1.6<br>.0537<br>.0526<br>.0495<br>.0475<br>.0465<br>-1.5<br>.0655<br>.0643<br>.0630<br>.0606<br>.0594<br>.0582<br>.0571<br>.0559<br>-1.4<br>-1.3<br>.0694<br>.0838<br>.0808<br>.0793<br>.0778<br>.0764<br>.0749<br>.0735<br>.0721<br>.0708<br>.0681<br>.0968<br>.0951<br>.0934<br>.0918<br>.0901<br>.0885<br>.0869<br>.0853<br>.0823<br>- 1.2<br>- 1.1<br>.1038<br>.1230<br>.1151<br>.1131<br>.1112<br>.1093<br>.1075<br>.1056<br>.1020<br>.1003<br>.0985<br>.1357<br>.1335<br>.1314<br>.1292<br>.1271<br>.1251<br>.1210<br>.1190<br>.1170<br>-1.0<br>.1587<br>.1562<br>.1539<br>.1515<br>.1492<br>.1469<br>.1446<br>.1423<br>.1401<br>.1379<br>.1814<br>.2090<br>-0.9<br>.1841<br>.1788<br>.1762<br>.1736<br>.1711<br>.1685<br>.1660<br>.1635<br>.1611<br>-0.8<br>.2119<br>.2061<br>.2033<br>.2005<br>.1977<br>.1949<br>.1922<br>.1894<br>.1867<br>-0.7<br>.2420<br>.2389<br>.2358<br>.2327<br>.2296<br>.2266<br>.2236<br>.2206<br>.2177<br>.2148<br>-0.6<br>.2743<br>.2709<br>.2676<br>.2643<br>.2611<br>.2578<br>.2546<br>.2514<br>.2483<br>.2451<br>-0.5<br>3085<br>3050<br>.3015<br>.2981<br>.2946<br>.2912<br>.2877<br>.2843<br>.2810<br>.2776<br>.3409<br>.3783<br>.4168<br>-0.4<br>.3446<br>.3372<br>.3336<br>3300<br>.3264<br>.3228<br>.3192<br>.3156<br>.3121<br>-0.3<br>.3821<br>.3745<br>3707<br>.3669<br>.3632<br>.3594<br>.3557<br>3520<br>.3483<br>.4090<br>.4483<br>.4880<br>-0.2<br>.4207<br>.4129<br>.4052<br>.4013<br>.3974<br>.3936<br>.3897<br>.3859<br>.4404<br>.4801<br>.4247<br>.4641<br>-0.1<br>.4602<br>.4562<br>.4522<br>.4443<br>.4364<br>.4325<br>.4286<br>-0.0<br>.5000<br>.4960<br>.4920<br>.4840<br>.4761<br>.4721<br>.4681<br>

Extracted text: 696 TABLES Table entry for z is the area under the Table entry standard Normal curve to the left of z. TABLE A Standard normal cumulative proportions .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0002 .0003 .0005 .0007 .0005 .0004 .0006 -3.3 .0005 .0005 .0004 .0004 .0004 .0004 .0004 -3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0005 .0005 -3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 -3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 .0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 .0023 .0032 -2.8 .0026 .0025 .0024 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0034 .0033 .0031 .0030 .0029 .0028 .0027 .0026 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0054 .0039 .0038 .0037 .0036 -2.5 .0062 .0060 .0059 .0057 .0055 .0052 .0051 .0049 .0048 -2.4 .0064 .0084 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 -2.2 .0139 .0136 .0132 .0129 .0125 .0122 .0119 .0116 .0113 .0110 .0174 .0222 .0170 .0217 -2.1 .0179 .0166 .0162 .0158 .0154 .0150 .0146 .0143 -2.0 .0228 .0212 .0207 .0202 .0197 .0192 .0188 .0183 .0274 .0287 .0359 .0281 .0268 .0262 .0256 .0250 .0233 .0244 .0307 .0384 -1.9 .0239 .0314 - 1.8 - 1.7 .0336 .0418 .0516 .0329 .0409 .0351 .0344 .0322 .0301 .0294 .0446 .0436 .0427 .0401 .0392 .0375 .0367 .0485 .0505 .0618 .0455 .0548 .0668 -1.6 .0537 .0526 .0495 .0475 .0465 -1.5 .0655 .0643 .0630 .0606 .0594 .0582 .0571 .0559 -1.4 -1.3 .0694 .0838 .0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 .0681 .0968 .0951 .0934 .0918 .0901 .0885 .0869 .0853 .0823 - 1.2 - 1.1 .1038 .1230 .1151 .1131 .1112 .1093 .1075 .1056 .1020 .1003 .0985 .1357 .1335 .1314 .1292 .1271 .1251 .1210 .1190 .1170 -1.0 .1587 .1562 .1539 .1515 .1492 .1469 .1446 .1423 .1401 .1379 .1814 .2090 -0.9 .1841 .1788 .1762 .1736 .1711 .1685 .1660 .1635 .1611 -0.8 .2119 .2061 .2033 .2005 .1977 .1949 .1922 .1894 .1867 -0.7 .2420 .2389 .2358 .2327 .2296 .2266 .2236 .2206 .2177 .2148 -0.6 .2743 .2709 .2676 .2643 .2611 .2578 .2546 .2514 .2483 .2451 -0.5 3085 3050 .3015 .2981 .2946 .2912 .2877 .2843 .2810 .2776 .3409 .3783 .4168 -0.4 .3446 .3372 .3336 3300 .3264 .3228 .3192 .3156 .3121 -0.3 .3821 .3745 3707 .3669 .3632 .3594 .3557 3520 .3483 .4090 .4483 .4880 -0.2 .4207 .4129 .4052 .4013 .3974 .3936 .3897 .3859 .4404 .4801 .4247 .4641 -0.1 .4602 .4562 .4522 .4443 .4364 .4325 .4286 -0.0 .5000 .4960 .4920 .4840 .4761 .4721 .4681
TABLES<br>697<br>Table entry<br>Table entry for z is the area under the<br>standard Normal curve to the left of z.<br>TABLE A Standard Normal cumulative proportions (continued)<br>.00<br>.01<br>.02<br>.03<br>.04<br>.05<br>.06<br>.07<br>.08<br>.09<br>0.0<br>.5000<br>.5040<br>.5080<br>.5120<br>.5160<br>.5199<br>.5239<br>.5279<br>.5319<br>.5359<br>.5557<br>.5948<br>.6331<br>.5636<br>.6026<br>0.1<br>.5398<br>.5438<br>.5478<br>.5517<br>.5596<br>.5675<br>.5714<br>.5753<br>0.2<br>.5793<br>.5832<br>.5871<br>.5910<br>.5987<br>.6064<br>.6103<br>.6141<br>0.3<br>0.4<br>.6406<br>.6772<br>.6480<br>.6844<br>.6179<br>.6217<br>.6255<br>.6293<br>.6368<br>.6443<br>.6517<br>.6554<br>.6591<br>.6628<br>.6664<br>.6700<br>.6736<br>.6808<br>.6879<br>.6950<br>.7054<br>.7389<br>.7088<br>.7422<br>.7123<br>.7454<br>.7764<br>0.5<br>.6915<br>.6985<br>.7019<br>.7157<br>.7190<br>.7224<br>0.6<br>.7257<br>.7580<br>.7517<br>.7823<br>.8106<br>.7291<br>.7324<br>.7357<br>.7486<br>.7794<br>.8078<br>.8340<br>.7549<br>0.7<br>.7611<br>.7642<br>.7673<br>.7704<br>.7734<br>.7852<br>.8023<br>.8289<br>0.8<br>.7881<br>.7910<br>.7939<br>.7967<br>.7995<br>.8051<br>.8133<br>0.9<br>.8159<br>.8186<br>.8212<br>.8238<br>.8264<br>.8315<br>.8365<br>.8389<br>.8485<br>.8708<br>.8907<br>.8508<br>.8577<br>.8790<br>1.0<br>.8413<br>.8438<br>.8461<br>.8531<br>.8554<br>.8599<br>.8621<br>.8643<br>.8849<br>.8749<br>.8944<br>1.1<br>.8665<br>.8686<br>.8729<br>.8770<br>.8810<br>.8830<br>1.2<br>.8869<br>.8888<br>.8925<br>.8962<br>.8980<br>.8997<br>.9015<br>1.3<br>.9032<br>.9049<br>.9066<br>.9082<br>.9099<br>.9115<br>.9131<br>.9147<br>.9162<br>.9177<br>1.4<br>.9192<br>.9207<br>.9222<br>.9236<br>.9251<br>.9265<br>.9279<br>.9292<br>.9306<br>.9319<br>1.5<br>.9332<br>.9345<br>.9357<br>.9370<br>.9382<br>.9394<br>.9406<br>.9418<br>.9429<br>.9441<br>.9463<br>.9564<br>1.6<br>.9452<br>.9474<br>.9484<br>.9495<br>.9505<br>.9515<br>.9525<br>.9535<br>.9545<br>1.7<br>.9554<br>.9573<br>.9582<br>.9591<br>.9599<br>.9608<br>.9616<br>.9625<br>.9633<br>.9678<br>.9744<br>1.8<br>.9641<br>.9649<br>.9656<br>.9664<br>.9671<br>.9686<br>.9693<br>.9699<br>.9706<br>1.9<br>.9713<br>.9719<br>.9726<br>.9732<br>.9738<br>.9750<br>.9756<br>.9761<br>.9767<br>2.0<br>.9772<br>.9778<br>.9783<br>.9788<br>.9793<br>.9798<br>.9803<br>.9808<br>.9812<br>.9817<br>2.1<br>.9821<br>.9826<br>.9830<br>.9834<br>.9838<br>.9842<br>.9846<br>.9850<br>.9854<br>.9887<br>.9913<br>.9857<br>2.2<br>.9861<br>.9864<br>.9868<br>.9871<br>.9875<br>.9878<br>.9881<br>.9884<br>.9890<br>2.3<br>.9893<br>.9896<br>.9898<br>.9901<br>.9904<br>.9906<br>.9909<br>.9911<br>.9916<br>2.4<br>.9918<br>.9920<br>.9922<br>.9925<br>.9927<br>.9929<br>.9931<br>.9932<br>.9934<br>.9936<br>2.5<br>.9938<br>.9940<br>.9941<br>.9943<br>.9945<br>.9946<br>.9948<br>.9949<br>.9951<br>.9952<br>2.6<br>.9953<br>.9955<br>.9956<br>.9957<br>.9959<br>.9960<br>.9961<br>.9962<br>.9963<br>.9964<br>2.7<br>.9965<br>.9966<br>.9967<br>.9968<br>.9969<br>.9970<br>.9971<br>.9972<br>.9973<br>.9974<br>.9977<br>.9983<br>2.8<br>.9974<br>.9975<br>.9976<br>.9977<br>.9978<br>.9979<br>.9979<br>.9980<br>.9981<br>2.9<br>.9981<br>.9982<br>.9982<br>.9984<br>.9984<br>.9985<br>.9985<br>9986<br>.9986<br>3.0<br>.9987<br>.9987<br>.9987<br>.9988<br>9988<br>.9989<br>.9989<br>.9989<br>.9990<br>.9990<br>3.1<br>.9990<br>.9991<br>.9991<br>.9991<br>.9992<br>.9992<br>.9992<br>.9992<br>.9993<br>.9993<br>3.2<br>.9993<br>.9993<br>.9994<br>.9994<br>.9994<br>.9994<br>.9994<br>.9996<br>.9995<br>.9995<br>.9995<br>3.3<br>.9995<br>.9995<br>.9995<br>.9996<br>.9996<br>.9996<br>.9996<br>.9996<br>.9997<br>3.4<br>.9997<br>.9997<br>.9997<br>.9997<br>.9997<br>.9997<br>.9997<br>.9997<br>.9997<br>.9998<br>

Extracted text: TABLES 697 Table entry Table entry for z is the area under the standard Normal curve to the left of z. TABLE A Standard Normal cumulative proportions (continued) .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359 .5557 .5948 .6331 .5636 .6026 0.1 .5398 .5438 .5478 .5517 .5596 .5675 .5714 .5753 0.2 .5793 .5832 .5871 .5910 .5987 .6064 .6103 .6141 0.3 0.4 .6406 .6772 .6480 .6844 .6179 .6217 .6255 .6293 .6368 .6443 .6517 .6554 .6591 .6628 .6664 .6700 .6736 .6808 .6879 .6950 .7054 .7389 .7088 .7422 .7123 .7454 .7764 0.5 .6915 .6985 .7019 .7157 .7190 .7224 0.6 .7257 .7580 .7517 .7823 .8106 .7291 .7324 .7357 .7486 .7794 .8078 .8340 .7549 0.7 .7611 .7642 .7673 .7704 .7734 .7852 .8023 .8289 0.8 .7881 .7910 .7939 .7967 .7995 .8051 .8133 0.9 .8159 .8186 .8212 .8238 .8264 .8315 .8365 .8389 .8485 .8708 .8907 .8508 .8577 .8790 1.0 .8413 .8438 .8461 .8531 .8554 .8599 .8621 .8643 .8849 .8749 .8944 1.1 .8665 .8686 .8729 .8770 .8810 .8830 1.2 .8869 .8888 .8925 .8962 .8980 .8997 .9015 1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177 1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319 1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441 .9463 .9564 1.6 .9452 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545 1.7 .9554 .9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633 .9678 .9744 1.8 .9641 .9649 .9656 .9664 .9671 .9686 .9693 .9699 .9706 1.9 .9713 .9719 .9726 .9732 .9738 .9750 .9756 .9761 .9767 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9887 .9913 .9857 2.2 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9890 2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9916 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952 2.6 .9953 .9955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 .9964 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 .9973 .9974 .9977 .9983 2.8 .9974 .9975 .9976 .9977 .9978 .9979 .9979 .9980 .9981 2.9 .9981 .9982 .9982 .9984 .9984 .9985 .9985 9986 .9986 3.0 .9987 .9987 .9987 .9988 9988 .9989 .9989 .9989 .9990 .9990 3.1 .9990 .9991 .9991 .9991 .9992 .9992 .9992 .9992 .9993 .9993 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9996 .9995 .9995 .9995 3.3 .9995 .9995 .9995 .9996 .9996 .9996 .9996 .9996 .9997 3.4 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998
Jun 05, 2022
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