Use the standard normal table to find the z-score that corresponds to the cumulative area 0.0222. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. Click to view page 1 of the standard normal table. Click to view page 2 of the standard normal table. (Type an integer or decimal rounded to three decimal places as needed. Standard normal table (page 1) Standard normal table (page 2) 0.2 .5793 .5832 .5871 5910 .5948 .5987 .6026 .6064 .6103 .6141 - 3.3 - 3.2 - 3.1 - 3.0 - 2.9 - 2.8 – 2.7 .0003 .0004 .0004 .0004 .0004 .0004 .0004 .0005 .0005 .0005 0.3 .6179 .6217 6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517 .0005 .0005 .0005 .0006 .0006 .0006 .0006 .0006 .0007 .0007 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 .0007 .0007 .0008 .0008 .0008 .0008 .0009 .0009 .0009 .0010 .6985 .7324 .7019 .7157 .7190 .7517 0.5 .6915 .6950 .7054 .7088 .7123 .7224 .0013 .0019 .0010 .0010 .0011 .0011 .0011 .0012 .0012 .0013 .0013 0.6 .7257 .7291 .7357 .7389 .7422 .7454 .7486 .7549 .0014 .0014 .0015 .0015 .0016 .0016 .0017 .0018 .0018 0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 .0019 .0020 .0021 .0021 .0022 .0023 .0023 .0024 .0025 .0026 .7939 .7967 8238 0.8 .7881 .7910 .7995 .8023 .8051 .8078 .8106 .8133 .0026 .0027 .0028 .0029 .0030 .0031 .0032 .0033 .0034 .0035 0.9 8159 .8186 8212 .8264 8289 .8315 .8340 8365 .8389 -2.6 .0036 .0037 .0038 .0039 .0040 .0041 .0043 .0044 .0045 .0047 1.0 .8413 .8438 .8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621 - 2.5 - 2.4 - 2.3 .0048 .0049 .0051 .0052 .0054 .0055 .0057 .0059 .0060 .0062 1.1 8643 .8665 .8686 .8708 .8729 .8749 .8770 .8790 .8810 .8830 .0064 .0066 .0068 .0069 .0071 .0073 .0075 .0078 .0080 .0082 .9015 .9177 1.2 .8849 8869 .8888 .8907 .8925 .8944 .8962 .8980 .8997 .0084 .0087 .0089 .0091 .0094 .0096 .0099 .0102 .0104 .0107 .9115 .9265 1.3 .9032 9049 .9066 .9082 .9099 .9131 .9147 .9162 -2.2 .0110 .0113 .0116 .0119 .0122 .0125 .0129 .0132 .0136 .0139 .9222 9357 9279 .9406 .9306 .9429 .9319 .9441 1.4 .9192 .9207 .9236 .9251 .9292 .0150 .0192 .0162 .0207 .0262 -2.1 .0143 .0146 .0154 .0158 .0166 .0170 .0174 .0179 1.5 .9332 .9345 .9370 .9382 .9394 .9418 -2.0 .0183 .0188 .0197 .0202 .0212 .0217 .0222 .0228 1.6 .9452 9463 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545 .0233 .0294 - 1.9 .0239 .0244 .0250 .0256 .0268 .0274 .0281 .0287 1.7 .9554 9564 .9573 9582 .9591 .9599 9608 .9616 .9625 .9633 - 1.8 .0301 .0307 .0314 .0322 .0329 0336 .0344 .0351 .0359 1,8 .9641 .9649 9656 .9664 .9671 .9678 9686 .9693 .9699 .9706 1.7 .0367 .0375 .0384 .0392 .0401 .0409 .0418 .0427 .0436 .0446 1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767 - 1.6 - 1.5 - 1.4 .0455 .0465 .0475 .0485 .0495 .0505 .0516 .0526 .0537 .0548 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817 .0559 .0571 .0582 .0594 .0606 .0618 .0630 .0643 .0655 .0668 2.1 .9821 .9826 .9830 .9834 9838 .9842 .9846 .9850 .9854 .9857 .0778 0934 .0681 .0694 .0708 .0721 .0735 .0749 .0764 .0793 .0808 9875 .9887 9913 2.2 .9861 .9864 .9868 .9871 .9878 .9881 .9884 .9890 1.3 .0823 .0838 .0853 .0869 .0885 .0901 .0918 .0951 .0968 2.3 .9893 9896 .9898 9901 9904 9906 .9909 9911 .9916 1.2 .0985 .1003 .1020 .1038 .1056 .1075 .1093 .1112 .1131 .1151 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 -1.1 .1170 .1190 .1210 .1230 .1251 .1271 .1292 .1314 .1335 .1357 2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952 1.0 .1379 .1401 .1423 .1446 .1469 .1492 .1515 .1539 .1562 .1587 2.6 .9953 .9955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 .9964 -0.9 .1611 .1635 .1660 .1685 .1711 .1736 .1762 .1788 .1814 .1841 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 .9973 .9974 0.8 .1867 .1894 .1922 .1949 .1977 .2005 .2033 .2061 .2090 2119 .9975 .9982 2.8 .9974 .9976 .9977 9977 .9978 .9979 .9979 .9980 .9981 - 0.7 - 0.6 2177 2483 2148 .2206 .2236 .2266 2296 .2327 .2358 .2389 2420 .9982 .9987 .9983 .9988 .9984 .9988 .9985 .9989 .9986 .9990 2.9 9981 .9984 .9985 .9986 .2451 .2514 .2546 .2578 2611 .2643 .2676 .2709 2743 3.0 .9987 .9987 .9989 .9989 .9990 -0,5 .2776 2810 .2843 2877 .2912 2946 .2981 .3015 .3050 3085 3.1 .9990 .9991 9991 .9991 9992 .9992 .9992 .9992 .9993 .9993 -0.4 3121 3156 .3192 .3228 .3264 3300 .3336 3372 3409 3446 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 .9995 -0.3 3483 .3520 .3557 .3594 .3632 .3669 .3707 .3745 .3783 .3821 3.3 .9995 .9995 .9995 .9996 .9996 .9996 .9996 .9996 .9996 .9997 .4129 - 0.2 - 0.1 .3859 .3897 .3936 .3974 .4013 .4052 .4090 .4168 4207 3.4 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998 4247 .4286 .4325 .4364 .4404 .4443 .4483 .4522 .4562 4602 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -0.0 .4641 .4681 .4721 .4761 .4801 4840 .4880 .4920 .4960 5000 .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 Standard normal table (page 1) Standard normal table (page 2) Standard Normal Distribution Standard Normal Distribution Critical Values Critical Values Level of Confidence c Level of Confidence c 0.80 1.28 0.80 1.28 Area Area 0.90 1.645 0.90 1.645 0.95 1.96 0.95 1.96 0.99 2.575 0.99 2.575 2=0 .09 08 .07 .06 .05 .04 .03 .02 .01 .00 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .5279 .5675 .0003 .0003 0.0 .5000 .5040 .5080 .5120 .5160 .5199 5239 .5319 .5359 - 3.4 - 3.3 - 3.2 - 3.1 - 3.0 - 2.9 - 2.8 - 2.7 - 2.6 - 2.5 .0002 .0003 .0003 .0003 .0003 .0003 .0003 .0003 0.1 .5438 .5517 5636 .5398 2 .0003 .0004 .0004 .0004 .0004 .0004 .0004 .0005 .0005 .0005 .5478 .5557 .5596 5714 .5753 .0005 .0005 .0005 .0006 .0006 .0006 .0006 .0006 .0007 .0007 0.2 .5793 .5832 .5871 5910 .5948 5987 .6026 .6064 .6103 .6141 .0007 .0007 .0008 .0008 .0008 .0008 .0009 .0009 .0009 .0010 0.3 .6179 .6217 .6255 6293 .6331 .6368 .6406 .6443 .6480 .6517 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 .0013 .0019 0026 .0010 .0010 .0011 .0011 .0011 .0012 .0012 .0013 .0013 .0014 .0014 .0015 .0015 .0016 .0016 .0017 .0018 .0018 0.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 ,7224 0.6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 .0021 .0029 .0019 .0020 .0021 .0022 .0023 .0023 .0024 .0025 .0026 .0027 .0028 .0030 .0031 .0032 .0033 .0034 0035 0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 .0036 .0037 .0038 .0039 .0040 .0041 .0043 .0044 .0045 .0047 0.8 .7881 .7910 .7939 .7967 .7995 .8023 .8051 .8078 .8106 .8133 .0048 .0049 .0051 .0052 .0054 .0055 .0057 .0059 .0060 .0062 0.9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 .8461 .8554 .8577 .0080 .0104 1.0 .8413 .8438 .8485 .8508 .8531 .8599 .8621 - 2.4 - 2.3 - 2.2 - 2.1 - 2.0 - 1.9 - 1.8 .0064 .0066 .0068 .0069 .0071 .0073 .0075 .0078 .0082 .0084 .0087 .0089 .0091 .0094 .0096 .0099 .0102 .0107 1.1 .8643 .8665 .8686 .8708 .8729 .8749 .8770 .8790 .8810 .8830 .0110 .0113 .0116 .0119 .0122 .0125 .0129 .0132 .0136 .0139 1.2 .8849 .8869 .8888 .8907 .8925 .8944 .8962 .8980 .8997 .9015 .9066 9222 9049 9082 .9236 .0143 .0146 .0150 .0154 .0158 .0162 .0166 .0170 .0174 .0179 1.3 .9032 .9099 .9115 .9131 .9147 .9162 .9177 .0183 .0188 .0192 .0197 .0202 .0207 .0212 .0217 .0222 .0228 1.4 .9192 .9207 .9251 .9265 .9279 .9292 .9306 .9319 .0233 .0239 .0244 .0250 .0256 .0262 .0268 .0274 .0281 .0287 1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 9418 9429 .9441 .0294 .0301 .0307 .0314 .0322 .0329 .0336 .0344 .0351 .0359 1.6 .9452 .9463 .9474 9484 9495 .9505 .9515 .9525 .9535 .9545 -1.7 .0367 .0375 .0384 .0392 .0401 .0409 .0418 .0427 .0436 .0446 1.7 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9616 9625 .9633 1,8 .9641 .9649 .9656 .9664 .9671 .9678 9686 .9693 .9699 .9706 - 1.6 - 1.5 - 1,4 - 1.3 .0455 .0465 .0475 .0485 .0495 .0505 .0516 .0526 .0537 .0548 .0559 .0571 .0582 0594 .0606 .0618 .0630 .0643 .0655 .0668 1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767 .9788 .9834 2.0 .9772 .9778 .9783 .9793 .9798 .9803 .9808 .9812 .9817 .0778 .0934 .0681 .0694 .0708 .0721 .0735 .0749 .0764 .0793 .0808 .0823 .0838 .0853 .0869 .0885 .0901 .0918 .0951 .0968 2,1 .9821 .9826 .9830 .9838 .9842 9846 .9850 9854 .9857 -12 na85 1003 1020 1038 1056 1075 1003 1112 1131 1151
Use the standard normal table to find the z-score that corresponds to the cumulative area 0.0222. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. Click to view page 1 of the standard normal table. Click to view page 2 of the standard normal table. (Type an integer or decimal rounded to three decimal places as needed. Standard normal table (page 1) Standard normal table (page 2) 0.2 .5793 .5832 .5871 5910 .5948 .5987 .6026 .6064 .6103 .6141 - 3.3 - 3.2 - 3.1 - 3.0 - 2.9 - 2.8 – 2.7 .0003 .0004 .0004 .0004 .0004 .0004 .0004 .0005 .0005 .0005 0.3 .6179 .6217 6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517 .0005 .0005 .0005 .0006 .0006 .0006 .0006 .0006 .0007 .0007 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 .0007 .0007 .0008 .0008 .0008 .0008 .0009 .0009 .0009 .0010 .6985 .7324 .7019 .7157 .7190 .7517 0.5 .6915 .6950 .7054 .7088 .7123 .7224 .0013 .0019 .0010 .0010 .0011 .0011 .0011 .0012 .0012 .0013 .0013 0.6 .7257 .7291 .7357 .7389 .7422 .7454 .7486 .7549 .0014 .0014 .0015 .0015 .0016 .0016 .0017 .0018 .0018 0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 .0019 .0020 .0021 .0021 .0022 .0023 .0023 .0024 .0025 .0026 .7939 .7967 8238 0.8 .7881 .7910 .7995 .8023 .8051 .8078 .8106 .8133 .0026 .0027 .0028 .0029 .0030 .0031 .0032 .0033 .0034 .0035 0.9 8159 .8186 8212 .8264 8289 .8315 .8340 8365 .8389 -2.6 .0036 .0037 .0038 .0039 .0040 .0041 .0043 .0044 .0045 .0047 1.0 .8413 .8438 .8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621 - 2.5 - 2.4 - 2.3 .0048 .0049 .0051 .0052 .0054 .0055 .0057 .0059 .0060 .0062 1.1 8643 .8665 .8686 .8708 .8729 .8749 .8770 .8790 .8810 .8830 .0064 .0066 .0068 .0069 .0071 .0073 .0075 .0078 .0080 .0082 .9015 .9177 1.2 .8849 8869 .8888 .8907 .8925 .8944 .8962 .8980 .8997 .0084 .0087 .0089 .0091 .0094 .0096 .0099 .0102 .0104 .0107 .9115 .9265 1.3 .9032 9049 .9066 .9082 .9099 .9131 .9147 .9162 -2.2 .0110 .0113 .0116 .0119 .0122 .0125 .0129 .0132 .0136 .0139 .9222 9357 9279 .9406 .9306 .9429 .9319 .9441 1.4 .9192 .9207 .9236 .9251 .9292 .0150 .0192 .0162 .0207 .0262 -2.1 .0143 .0146 .0154 .0158 .0166 .0170 .0174 .0179 1.5 .9332 .9345 .9370 .9382 .9394 .9418 -2.0 .0183 .0188 .0197 .0202 .0212 .0217 .0222 .0228 1.6 .9452 9463 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545 .0233 .0294 - 1.9 .0239 .0244 .0250 .0256 .0268 .0274 .0281 .0287 1.7 .9554 9564 .9573 9582 .9591 .9599 9608 .9616 .9625 .9633 - 1.8 .0301 .0307 .0314 .0322 .0329 0336 .0344 .0351 .0359 1,8 .9641 .9649 9656 .9664 .9671 .9678 9686 .9693 .9699 .9706 1.7 .0367 .0375 .0384 .0392 .0401 .0409 .0418 .0427 .0436 .0446 1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767 - 1.6 - 1.5 - 1.4 .0455 .0465 .0475 .0485 .0495 .0505 .0516 .0526 .0537 .0548 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817 .0559 .0571 .0582 .0594 .0606 .0618 .0630 .0643 .0655 .0668 2.1 .9821 .9826 .9830 .9834 9838 .9842 .9846 .9850 .9854 .9857 .0778 0934 .0681 .0694 .0708 .0721 .0735 .0749 .0764 .0793 .0808 9875 .9887 9913 2.2 .9861 .9864 .9868 .9871 .9878 .9881 .9884 .9890 1.3 .0823 .0838 .0853 .0869 .0885 .0901 .0918 .0951 .0968 2.3 .9893 9896 .9898 9901 9904 9906 .9909 9911 .9916 1.2 .0985 .1003 .1020 .1038 .1056 .1075 .1093 .1112 .1131 .1151 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 -1.1 .1170 .1190 .1210 .1230 .1251 .1271 .1292 .1314 .1335 .1357 2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952 1.0 .1379 .1401 .1423 .1446 .1469 .1492 .1515 .1539 .1562 .1587 2.6 .9953 .9955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 .9964 -0.9 .1611 .1635 .1660 .1685 .1711 .1736 .1762 .1788 .1814 .1841 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 .9973 .9974 0.8 .1867 .1894 .1922 .1949 .1977 .2005 .2033 .2061 .2090 2119 .9975 .9982 2.8 .9974 .9976 .9977 9977 .9978 .9979 .9979 .9980 .9981 - 0.7 - 0.6 2177 2483 2148 .2206 .2236 .2266 2296 .2327 .2358 .2389 2420 .9982 .9987 .9983 .9988 .9984 .9988 .9985 .9989 .9986 .9990 2.9 9981 .9984 .9985 .9986 .2451 .2514 .2546 .2578 2611 .2643 .2676 .2709 2743 3.0 .9987 .9987 .9989 .9989 .9990 -0,5 .2776 2810 .2843 2877 .2912 2946 .2981 .3015 .3050 3085 3.1 .9990 .9991 9991 .9991 9992 .9992 .9992 .9992 .9993 .9993 -0.4 3121 3156 .3192 .3228 .3264 3300 .3336 3372 3409 3446 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 .9995 -0.3 3483 .3520 .3557 .3594 .3632 .3669 .3707 .3745 .3783 .3821 3.3 .9995 .9995 .9995 .9996 .9996 .9996 .9996 .9996 .9996 .9997 .4129 - 0.2 - 0.1 .3859 .3897 .3936 .3974 .4013 .4052 .4090 .4168 4207 3.4 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998 4247 .4286 .4325 .4364 .4404 .4443 .4483 .4522 .4562 4602 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -0.0 .4641 .4681 .4721 .4761 .4801 4840 .4880 .4920 .4960 5000 .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 Standard normal table (page 1) Standard normal table (page 2) Standard Normal Distribution Standard Normal Distribution Critical Values Critical Values Level of Confidence c Level of Confidence c 0.80 1.28 0.80 1.28 Area Area 0.90 1.645 0.90 1.645 0.95 1.96 0.95 1.96 0.99 2.575 0.99 2.575 2=0 .09 08 .07 .06 .05 .04 .03 .02 .01 .00 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .5279 .5675 .0003 .0003 0.0 .5000 .5040 .5080 .5120 .5160 .5199 5239 .5319 .5359 - 3.4 - 3.3 - 3.2 - 3.1 - 3.0 - 2.9 - 2.8 - 2.7 - 2.6 - 2.5 .0002 .0003 .0003 .0003 .0003 .0003 .0003 .0003 0.1 .5438 .5517 5636 .5398 2 .0003 .0004 .0004 .0004 .0004 .0004 .0004 .0005 .0005 .0005 .5478 .5557 .5596 5714 .5753 .0005 .0005 .0005 .0006 .0006 .0006 .0006 .0006 .0007 .0007 0.2 .5793 .5832 .5871 5910 .5948 5987 .6026 .6064 .6103 .6141 .0007 .0007 .0008 .0008 .0008 .0008 .0009 .0009 .0009 .0010 0.3 .6179 .6217 .6255 6293 .6331 .6368 .6406 .6443 .6480 .6517 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 .0013 .0019 0026 .0010 .0010 .0011 .0011 .0011 .0012 .0012 .0013 .0013 .0014 .0014 .0015 .0015 .0016 .0016 .0017 .0018 .0018 0.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 ,7224 0.6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 .0021 .0029 .0019 .0020 .0021 .0022 .0023 .0023 .0024 .0025 .0026 .0027 .0028 .0030 .0031 .0032 .0033 .0034 0035 0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 .0036 .0037 .0038 .0039 .0040 .0041 .0043 .0044 .0045 .0047 0.8 .7881 .7910 .7939 .7967 .7995 .8023 .8051 .8078 .8106 .8133 .0048 .0049 .0051 .0052 .0054 .0055 .0057 .0059 .0060 .0062 0.9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 .8461 .8554 .8577 .0080 .0104 1.0 .8413 .8438 .8485 .8508 .8531 .8599 .8621 - 2.4 - 2.3 - 2.2 - 2.1 - 2.0 - 1.9 - 1.8 .0064 .0066 .0068 .0069 .0071 .0073 .0075 .0078 .0082 .0084 .0087 .0089 .0091 .0094 .0096 .0099 .0102 .0107 1.1 .8643 .8665 .8686 .8708 .8729 .8749 .8770 .8790 .8810 .8830 .0110 .0113 .0116 .0119 .0122 .0125 .0129 .0132 .0136 .0139 1.2 .8849 .8869 .8888 .8907 .8925 .8944 .8962 .8980 .8997 .9015 .9066 9222 9049 9082 .9236 .0143 .0146 .0150 .0154 .0158 .0162 .0166 .0170 .0174 .0179 1.3 .9032 .9099 .9115 .9131 .9147 .9162 .9177 .0183 .0188 .0192 .0197 .0202 .0207 .0212 .0217 .0222 .0228 1.4 .9192 .9207 .9251 .9265 .9279 .9292 .9306 .9319 .0233 .0239 .0244 .0250 .0256 .0262 .0268 .0274 .0281 .0287 1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 9418 9429 .9441 .0294 .0301 .0307 .0314 .0322 .0329 .0336 .0344 .0351 .0359 1.6 .9452 .9463 .9474 9484 9495 .9505 .9515 .9525 .9535 .9545 -1.7 .0367 .0375 .0384 .0392 .0401 .0409 .0418 .0427 .0436 .0446 1.7 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9616 9625 .9633 1,8 .9641 .9649 .9656 .9664 .9671 .9678 9686 .9693 .9699 .9706 - 1.6 - 1.5 - 1,4 - 1.3 .0455 .0465 .0475 .0485 .0495 .0505 .0516 .0526 .0537 .0548 .0559 .0571 .0582 0594 .0606 .0618 .0630 .0643 .0655 .0668 1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767 .9788 .9834 2.0 .9772 .9778 .9783 .9793 .9798 .9803 .9808 .9812 .9817 .0778 .0934 .0681 .0694 .0708 .0721 .0735 .0749 .0764 .0793 .0808 .0823 .0838 .0853 .0869 .0885 .0901 .0918 .0951 .0968 2,1 .9821 .9826 .9830 .9838 .9842 9846 .9850 9854 .9857 -12 na85 1003 1020 1038 1056 1075 1003 1112 1131 1151
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Use the standard normal table to find the z-score that corresponds to the cumulative area 0.0222. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores.
Click to view page 1 of the standard normal table. Click to view page 2 of the standard normal table.
(Type an integer or decimal rounded to three decimal places as needed.
Standard normal table (page 1)
Standard normal table (page 2)
0.2
.5793
.5832
.5871
5910
.5948
.5987
.6026
.6064
.6103
.6141
- 3.3
- 3.2
- 3.1
- 3.0
- 2.9
- 2.8
– 2.7
.0003
.0004
.0004
.0004
.0004
.0004
.0004
.0005
.0005
.0005
0.3
.6179
.6217
6255
.6293
.6331
.6368
.6406
.6443
.6480
.6517
.0005
.0005
.0005
.0006
.0006
.0006
.0006
.0006
.0007
.0007
0.4
.6554
.6591
.6628
.6664
.6700
.6736
.6772
.6808
.6844
.6879
.0007
.0007
.0008
.0008
.0008
.0008
.0009
.0009
.0009
.0010
.6985
.7324
.7019
.7157
.7190
.7517
0.5
.6915
.6950
.7054
.7088
.7123
.7224
.0013
.0019
.0010
.0010
.0011
.0011
.0011
.0012
.0012
.0013
.0013
0.6
.7257
.7291
.7357
.7389
.7422
.7454
.7486
.7549
.0014
.0014
.0015
.0015
.0016
.0016
.0017
.0018
.0018
0.7
.7580
.7611
.7642
.7673
.7704
.7734
.7764
.7794
.7823
.7852
.0019
.0020
.0021
.0021
.0022
.0023
.0023
.0024
.0025
.0026
.7939
.7967
8238
0.8
.7881
.7910
.7995
.8023
.8051
.8078
.8106
.8133
.0026
.0027
.0028
.0029
.0030
.0031
.0032
.0033
.0034
.0035
0.9
8159
.8186
8212
.8264
8289
.8315
.8340
8365
.8389
-2.6
.0036
.0037
.0038
.0039
.0040
.0041
.0043
.0044
.0045
.0047
1.0
.8413
.8438
.8461
.8485
.8508
.8531
.8554
.8577
.8599
.8621
- 2.5
- 2.4
- 2.3
.0048
.0049
.0051
.0052
.0054
.0055
.0057
.0059
.0060
.0062
1.1
8643
.8665
.8686
.8708
.8729
.8749
.8770
.8790
.8810
.8830
.0064
.0066
.0068
.0069
.0071
.0073
.0075
.0078
.0080
.0082
.9015
.9177
1.2
.8849
8869
.8888
.8907
.8925
.8944
.8962
.8980
.8997
.0084
.0087
.0089
.0091
.0094
.0096
.0099
.0102
.0104
.0107
.9115
.9265
1.3
.9032
9049
.9066
.9082
.9099
.9131
.9147
.9162
-2.2
.0110
.0113
.0116
.0119
.0122
.0125
.0129
.0132
.0136
.0139
.9222
9357
9279
.9406
.9306
.9429
.9319
.9441
1.4
.9192
.9207
.9236
.9251
.9292
.0150
.0192
.0162
.0207
.0262
-2.1
.0143
.0146
.0154
.0158
.0166
.0170
.0174
.0179
1.5
.9332
.9345
.9370
.9382
.9394
.9418
-2.0
.0183
.0188
.0197
.0202
.0212
.0217
.0222
.0228
1.6
.9452
9463
.9474
.9484
.9495
.9505
.9515
.9525
.9535
.9545
.0233
.0294
- 1.9
.0239
.0244
.0250
.0256
.0268
.0274
.0281
.0287
1.7
.9554
9564
.9573
9582
.9591
.9599
9608
.9616
.9625
.9633
- 1.8
.0301
.0307
.0314
.0322
.0329
0336
.0344
.0351
.0359
1,8
.9641
.9649
9656
.9664
.9671
.9678
9686
.9693
.9699
.9706
1.7
.0367
.0375
.0384
.0392
.0401
.0409
.0418
.0427
.0436
.0446
1.9
.9713
.9719
.9726
.9732
.9738
.9744
.9750
.9756
.9761
.9767
- 1.6
- 1.5
- 1.4
.0455
.0465
.0475
.0485
.0495
.0505
.0516
.0526
.0537
.0548
2.0
.9772
.9778
.9783
.9788
.9793
.9798
.9803
.9808
.9812
.9817
.0559
.0571
.0582
.0594
.0606
.0618
.0630
.0643
.0655
.0668
2.1
.9821
.9826
.9830
.9834
9838
.9842
.9846
.9850
.9854
.9857
.0778
0934
.0681
.0694
.0708
.0721
.0735
.0749
.0764
.0793
.0808
9875
.9887
9913
2.2
.9861
.9864
.9868
.9871
.9878
.9881
.9884
.9890
1.3
.0823
.0838
.0853
.0869
.0885
.0901
.0918
.0951
.0968
2.3
.9893
9896
.9898
9901
9904
9906
.9909
9911
.9916
1.2
.0985
.1003
.1020
.1038
.1056
.1075
.1093
.1112
.1131
.1151
2.4
.9918
.9920
.9922
.9925
.9927
.9929
.9931
.9932
.9934
.9936
-1.1
.1170
.1190
.1210
.1230
.1251
.1271
.1292
.1314
.1335
.1357
2.5
.9938
.9940
.9941
.9943
.9945
.9946
.9948
.9949
.9951
.9952
1.0
.1379
.1401
.1423
.1446
.1469
.1492
.1515
.1539
.1562
.1587
2.6
.9953
.9955
.9956
.9957
.9959
.9960
.9961
.9962
.9963
.9964
-0.9
.1611
.1635
.1660
.1685
.1711
.1736
.1762
.1788
.1814
.1841
2.7
.9965
.9966
.9967
.9968
.9969
.9970
.9971
.9972
.9973
.9974
0.8
.1867
.1894
.1922
.1949
.1977
.2005
.2033
.2061
.2090
2119
.9975
.9982
2.8
.9974
.9976
.9977
9977
.9978
.9979
.9979
.9980
.9981
- 0.7
- 0.6
2177
2483
2148
.2206
.2236
.2266
2296
.2327
.2358
.2389
2420
.9982
.9987
.9983
.9988
.9984
.9988
.9985
.9989
.9986
.9990
2.9
9981
.9984
.9985
.9986
.2451
.2514
.2546
.2578
2611
.2643
.2676
.2709
2743
3.0
.9987
.9987
.9989
.9989
.9990
-0,5
.2776
2810
.2843
2877
.2912
2946
.2981
.3015
.3050
3085
3.1
.9990
.9991
9991
.9991
9992
.9992
.9992
.9992
.9993
.9993
-0.4
3121
3156
.3192
.3228
.3264
3300
.3336
3372
3409
3446
3.2
.9993
.9993
.9994
.9994
.9994
.9994
.9994
.9995
.9995
.9995
-0.3
3483
.3520
.3557
.3594
.3632
.3669
.3707
.3745
.3783
.3821
3.3
.9995
.9995
.9995
.9996
.9996
.9996
.9996
.9996
.9996
.9997
.4129
- 0.2
- 0.1
.3859
.3897
.3936
.3974
.4013
.4052
.4090
.4168
4207
3.4
.9997
.9997
.9997
.9997
.9997
.9997
.9997
.9997
.9997
.9998
4247
.4286
.4325
.4364
.4404
.4443
.4483
.4522
.4562
4602
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
-0.0
.4641
.4681
.4721
.4761
.4801
4840
.4880
.4920
.4960
5000
.09
.08
.07
.06
.05
.04
.03
.02
.01
.00
Transcribed Image Text:Standard normal table (page 1)
Standard normal table (page 2)
Standard Normal Distribution
Standard Normal Distribution
Critical Values
Critical Values
Level of Confidence c
Level of Confidence c
0.80
1.28
0.80
1.28
Area
Area
0.90
1.645
0.90
1.645
0.95
1.96
0.95
1.96
0.99
2.575
0.99
2.575
2=0
.09
08
.07
.06
.05
.04
.03
.02
.01
.00
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.5279
.5675
.0003
.0003
0.0
.5000
.5040
.5080
.5120
.5160
.5199
5239
.5319
.5359
- 3.4
- 3.3
- 3.2
- 3.1
- 3.0
- 2.9
- 2.8
- 2.7
- 2.6
- 2.5
.0002
.0003
.0003
.0003
.0003
.0003
.0003
.0003
0.1
.5438
.5517
5636
.5398
2
.0003
.0004
.0004
.0004
.0004
.0004
.0004
.0005
.0005
.0005
.5478
.5557
.5596
5714
.5753
.0005
.0005
.0005
.0006
.0006
.0006
.0006
.0006
.0007
.0007
0.2
.5793
.5832
.5871
5910
.5948
5987
.6026
.6064
.6103
.6141
.0007
.0007
.0008
.0008
.0008
.0008
.0009
.0009
.0009
.0010
0.3
.6179
.6217
.6255
6293
.6331
.6368
.6406
.6443
.6480
.6517
0.4
.6554
.6591
.6628
.6664
.6700
.6736
.6772
.6808
.6844
.6879
.0013
.0019
0026
.0010
.0010
.0011
.0011
.0011
.0012
.0012
.0013
.0013
.0014
.0014
.0015
.0015
.0016
.0016
.0017
.0018
.0018
0.5
.6915
.6950
.6985
.7019
.7054
.7088
.7123
.7157
.7190
,7224
0.6
.7257
.7291
.7324
.7357
.7389
.7422
.7454
.7486
.7517
.7549
.0021
.0029
.0019
.0020
.0021
.0022
.0023
.0023
.0024
.0025
.0026
.0027
.0028
.0030
.0031
.0032
.0033
.0034
0035
0.7
.7580
.7611
.7642
.7673
.7704
.7734
.7764
.7794
.7823
.7852
.0036
.0037
.0038
.0039
.0040
.0041
.0043
.0044
.0045
.0047
0.8
.7881
.7910
.7939
.7967
.7995
.8023
.8051
.8078
.8106
.8133
.0048
.0049
.0051
.0052
.0054
.0055
.0057
.0059
.0060
.0062
0.9
.8159
.8186
.8212
.8238
.8264
.8289
.8315
.8340
.8365
.8389
.8461
.8554
.8577
.0080
.0104
1.0
.8413
.8438
.8485
.8508
.8531
.8599
.8621
- 2.4
- 2.3
- 2.2
- 2.1
- 2.0
- 1.9
- 1.8
.0064
.0066
.0068
.0069
.0071
.0073
.0075
.0078
.0082
.0084
.0087
.0089
.0091
.0094
.0096
.0099
.0102
.0107
1.1
.8643
.8665
.8686
.8708
.8729
.8749
.8770
.8790
.8810
.8830
.0110
.0113
.0116
.0119
.0122
.0125
.0129
.0132
.0136
.0139
1.2
.8849
.8869
.8888
.8907
.8925
.8944
.8962
.8980
.8997
.9015
.9066
9222
9049
9082
.9236
.0143
.0146
.0150
.0154
.0158
.0162
.0166
.0170
.0174
.0179
1.3
.9032
.9099
.9115
.9131
.9147
.9162
.9177
.0183
.0188
.0192
.0197
.0202
.0207
.0212
.0217
.0222
.0228
1.4
.9192
.9207
.9251
.9265
.9279
.9292
.9306
.9319
.0233
.0239
.0244
.0250
.0256
.0262
.0268
.0274
.0281
.0287
1.5
.9332
.9345
.9357
.9370
.9382
.9394
.9406
9418
9429
.9441
.0294
.0301
.0307
.0314
.0322
.0329
.0336
.0344
.0351
.0359
1.6
.9452
.9463
.9474
9484
9495
.9505
.9515
.9525
.9535
.9545
-1.7
.0367
.0375
.0384
.0392
.0401
.0409
.0418
.0427
.0436
.0446
1.7
.9554
.9564
.9573
.9582
.9591
.9599
.9608
.9616
9625
.9633
1,8
.9641
.9649
.9656
.9664
.9671
.9678
9686
.9693
.9699
.9706
- 1.6
- 1.5
- 1,4
- 1.3
.0455
.0465
.0475
.0485
.0495
.0505
.0516
.0526
.0537
.0548
.0559
.0571
.0582
0594
.0606
.0618
.0630
.0643
.0655
.0668
1.9
.9713
.9719
.9726
.9732
.9738
.9744
.9750
.9756
.9761
.9767
.9788
.9834
2.0
.9772
.9778
.9783
.9793
.9798
.9803
.9808
.9812
.9817
.0778
.0934
.0681
.0694
.0708
.0721
.0735
.0749
.0764
.0793
.0808
.0823
.0838
.0853
.0869
.0885
.0901
.0918
.0951
.0968
2,1
.9821
.9826
.9830
.9838
.9842
9846
.9850
9854
.9857
-12
na85
1003
1020
1038
1056
1075
1003
1112
1131
1151
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