TABLE E The Standard Normal Distribution Cumulative Standard Normal Distribution .0 .02 .03 04 .05 .06 07 .08 09 -3.4 0003 0003 0003 0003 0003 0003 0003 0003 0003 .0002 -3.3 .0005 0005 .0005 .0004 .0004 0004 .0004 .0004 .0004 .0003 -3.2 .0007 0007 0006 0006 .0006 0006 .0006 .0005 0005 0005 -3.1 .0010 .0009 .0009 .0009 0008 0008 .0008 0008 .0007 .0007 -3.0 0013 0013 0013 0012 .0012 001 1 001 1 0011 0010 .0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 -2.8 0026 0025 0024 0023 0023 0022 0021 0021 0020 0019 -2.7 .0035 0034 0033 .0032 0031 0030 0029 .0028 0027 .0026 -2.6 .0047 0045 0044 .0043 0041 0040 .0039 0038 0037 0036 -2.5 0062 0060 0059 .0057 0055 0054 0052 0051 0049 .0048 -2.4 .0082 .0080 0078 .0075 .0073 0071 .0069 .0068 0066 .0064 -2.3 0107 0104 0102 0099 0096 0094 0091 .0089 0087 0084 -2.2 .0139 0136 0132 .0129 .0125 .0122 .01 19 .01 16 0113 .01 10 -2.1 0179 0174 0170 0166 0162 0158 0154 0150 0146 0143 -2.0 0228 0222 .0217 .0212 .0207 0202 .0197 0192 0188 .0183 -1.9 0287 0281 0274 0268 0262 0256 0250 0244 0239 0233 -1.8 0359 0351 0344 0336 .0329 0322 .0314 0307 0301 . 0294 -1.7 .0446 0436 0427 0418 .0409 0401 0392 0384 0375 0367 - 1.6 .0548 0537 0526 .0516 .0505 0495 0485 .0475 0465 .0455 -1.5 0668 0655 0643 0630 0618 0606 0594 0582 0571 0559 -1.4 .0808 0793 0778 .0764 0749 0735 0721 .0708 0694 0681 -1.3 .0968 .0951 0934 0918 0901 .0885 0869 0853 0838 0823 -1.2 1151 1131 1112 1093 1075 1056 1038 1020 .1003 .0985 -1.1 1357 1335 1314 1292 1271 1251 1230 1210 .1190 1170 -1.0 1587 1562 1539 .1515 .1492 .1469 1446 1423 1401 1379 -0.9 1841 .1814 1788 1762 1736 1711 . 1685 .1660 1635 1611 -0.8 21 19 2090 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 -0.4 .3446 3409 .3372 3336 3300 .3264 3228 3192 .3156 .3121 -0.3 .3821 3783 3745 .3707 3669 3632 .3594 3557 3520 3483 -0.2 4207 4168 .4129 4090 4052 .4013 3974 3936 3897 .3859 -0.1 .4602 4562 4522 4483 .4443 .4404 4364 4325 4286 4247 -0.0 .5000 .4960 4920 4880 .4840 .4801 .4761 .4721 .4681 4641TABLE E (continued) Cumulative Standard Normal Distribution Z 00 01 .02 .03 04 .05 06 07 .08 09 0.0 .5000 5040 5080 5120 5160 5199 5239 5279 5319 5359 0.1 5398 .5438 5478 .5517 .5557 5596 .5636 .5675 5714 .5753 0.2 .5793 .5832 5871 5910 .5948 5987 .6026 .6064 6103 .6141 0.3 6179 6217 .6255 6293 6331 6368 .6406 6443 .6480 .6517 0.4 6554 6591 .6628 6664 6700 6736 6772 .6808 .6844 .6879 0.5 6915 6950 .6985 .7019 7054 .7088 .7123 .7157 .7190 7224 0.6 .7257 .7291 .7324 .7357 .7389 7422 .7454 .7486 .7517 .7549 0.7 .7580 .7611 .7642 .7673 7704 7734 7764 7794 .7823 .7852 0.8 7881 7910 7939 .7967 .7995 8023 8051 .8078 8106 8133 0.9 8159 .8186 .8212 8238 .8264 8289 .8315 8340 8365 8389 1.0 .8413 .8438 8461 .8485 .8508 8531 .8554 .8577 .8599 .8621 1.1 8643 8665 .8686 8708 8729 8749 8770 8790 .8810 8830 1.2 8849 .8869 .8888 8907 .8925 .8944 .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 1.6 9452 .9463 .9474 .9484 .9495 .9505 .9515 .9525 9535 .9545 1.7 9554 9564 .9573 .9582 9591 9599 9608 9616 9625 9633 1.8 9641 .9649 .9656 .9664 .9671 .9678 9686 .9693 9699 9706 1.9 9713 9719 9726 9732 9738 9744 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 9857 2.2 9861 .9864 .9868 9871 .9875 .9878 9881 .9884 .9887 .9890 2.3 .9893 9896 9898 990 9904 9906 9909 .9911 9913 .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 2.8 .9974 .9975 .9976 9977 9977 .9978 9979 .9979 .9980 .9981 2.9 9981 9982 .9982 9983 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 9995 .9995 .9995 3.3 .9995 .9995 .9995 .9996 .9996 .9996 .9996 .9996 .9996 .9997 3.4 9997 .9997 .9997 9997 .9997 .9997 9997 .9997 .9997 9998Students in a statistics class at TUJ took two tests during a semester. The test scores were normally distributed with a mean of 80 and a standard deviation of 6. USE THE TABLES POSTED IN CANVAS TO SOLVE THIS PROBLEM. Enter numeric values without units and symbols. If the score is 9 points, enter 9 as your answer. What test score corresponds to a z-score of 1.5? Round to TWO DECIMAL PLACES. Enter numeric values without units and symbols. Example: If the answer is 9.12%, enter 9.12 as your answer. What percentage of the test scores are between 68 and 86? What percentage of the test scores are lower than 83? What percentage of the test scores are higher than 71
