Statistics 7.2

The notation Za is the z-score that the area under the standard normal curve to the right of Za is (1) Print (1) O 20. O 1-a. a ' 2. Determine the area under the standard normal curve that lies to the left of (a) z= 0.32, (b) Z = 0.51, (c) Z = 1.04, and (d) Z = 0.07. Click the icon to view a table of areas under the normal curve. (a) The area to the left of Z = 0.32 is (Round to four decimal places as needed.) (b) The area to the left of Z = 0.51 is (Round to four decimal places as needed.) (c) The area to the left of Z = 1.04 is Round to four decimal places as needed.) d) The area to the left of Z = 0.07 is (Round to four decimal places as needed.) 1: Tables of Areas under the Normal Curve TABLE V Standard Normal Distribution 00 .01 .02 03 .04 .05 .07 .08 .09 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 -3.2 0.0007 0. 0.0006 5 0.0006 0.0006 0.0006 0.0005 0.0005 0.0010 0.0009 0.0009 0 0.0009 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 D.D014 0.0026 0.0025 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 131 0.0030 0.0029 0.0028 0.0027 0.0026 -2.6 0.0047 0.0045 0.0043 0.0041 0.0040 0 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 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 0.0107 0.0104 0.0102 0.0099 0 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.2 0.0139 0.0136 0.0129 0.0125 0.0122 0.0119 5 0.0113 0.0110 -2.1 0.0179 0.0174 0.0170 0 0.0166 6 0.0162 0.0158 0.0154 $4 0.0150 0.0146 0.0143 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 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 0.0344 0.0536 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 -1.5 0.0668 0.0655 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 0.0934 0.0918 0.0853 0.0838 0.0823 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 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 0.2119 0.2061 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 0.2420 0.2389 0.2358 0.2266 0.2177 0.2148 0.2743 0.2709 0.2676 0.2643 0.2578 0.2546 0.2514 0.2483 0.2451 -05 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 0.3228 0.3192 0.3156 0.3121 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 0.4207 0.4168 0.4129 0.3974 0.3936 0.3897 0.3859 0.4602 0.4522 0.4364 0.4325 0.4286 0.4247 0.4960 0.4920 0.4880 0.4840 0.480 0.4761 0.4721 0.4681 0.4641 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 05714 0.5753 0.2 0.5793 0.5871 0.5910 0.6026 0.6064 0.6103 0.6141 03 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 0.6664 0.6700 30 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 0.7257 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 0.7734 0.7764 0.7852 0.8 0.7881 0.7910 0.7939 0.7967 0 0.8023 0.8051 0.8078 0.8106 0.8133 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 $4 0.8289 0.8315 0.8340 0.8365 0.8389 1.0 0.8413 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 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 0.9236 0.9251 $1 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0.9332 0.9345 0.9357 0.9370 0.9406 0.9429 0.9441 16 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 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 20 0.9772 0.9783 0.979 0.9817 21 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 24 0.9918 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 25 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 26 0.9953 0.9955 0.9956 0.9957 0.995 0.9960 0.9961 0.9962 0.9963 0.9964 27 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 28 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 29 0.9981 0.9982 0.9982 0.9983 0.9984 0.9985 0.9985 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 0.9993 0.9993 3.2 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 0.9995 0.9995 0. 0.9996 0.9996 0.9996 0.9996 0.9996 0 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 .00 .01 .02 .03 .04 .05 .06 .07 .08 3. Determine the area under the standard normal curve that lies to the right of (a) Z = 0.23, (b) Z = - 0.71, (c) Z= - 1.69, and (d) Z= - 1.79. Click here to view the standard normal distribution table (page 1).2 Click here to view the standard normal distribution table (page 2).3 (a) The area to the right of Z = 0.23 is (Round to four decimal places as needed.) (b) The area to the right of Z = - 0.71 is Round to four decimal places as needed.) (c) The area to the right of Z = - 1.69 is (Round to four decimal places as needed.) (d) The area to the right of Z = - 1.79 is (Round to four decimal places as needed.) 2: Standard Normal Distribution Table (page 1) Area