1. For this question, round the answer to 3 decimal places:
Use the standard normal table to find the z-score that corresponds to the cumulative area 0.7764. 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. z= (Type an integer or decimal rounded to three decimal places as needed.) X Standard Normal Table (Page 1) Standard Normal Table (Page 2) Standard Normal Distribution Standard Normal Distribution Critical Values Critical Values Level of Confidence c z Level of Confidence c Ze 0.80 1.28 0.80 1.28 Area 0.90 1.645 Are 0.90 1.645 0.95 1.96 0.95 1.96 0.99 2.575 0.99 2.575 - if 2=0 2=0 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 Z .09 0.0 .500 .5040 .5080 .5120 .5160 .5199 .5239 5279 5319 .5359 -3.4 .0002 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 5438 .5478 .5517 5557 5596 .5636 5675 5714 .5753 .5398 .0003 .0004 .0004 .0004 .0004 .0005 .0005 0.1 -3.3 .0004 0004 0.2 5793 5832 5871 5910 5948 5987 6026 6064 6103 .6141 - 3.2 .0005 .0005 .0006 0006 .0006 .0006 .0006 .0007 .0005 .0007 0.3 6179 6217 .6255 .6293 .6331 .6368 6406 .6443 6480 .6517 - 3.1 .0007 0007 .0008 0008 0008 .0008 .0009 .0009 .0009 0010 0.4 6554 .6591 .6628 6664 6700 6736 .6772 .6808 6844 6879 - 3.0 .0010 .0010 0011 2011 .0011 0012 .0012 0013 0013 0013 0.5 .6915 .6950 6985 7019 .7054 .7088 7123 .7157 .7190 .7224 .0014 0015 .0015 .0016 0016 .0017 .0018 .0018 .0019 -2.9 .0014 0.6 7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 -2.8 0019 0020 0021 1021 0022 .0023 .0023 0024 0025 .0026 0.7 7580 .7611 .7642 .7673 .7704 .7734 7764 .7794 .7823 .7852 -2.7 0026 0027 0028 0029 .0030 0031 0032 0033 .0034 .0035 0.8 .7881 .7910 .7939 .7967 7995 8023 8051 8078 8106 .8133 -2.6 .0036 .0037 .0038 .0039 0040 .0041 .0043 0044 .0045 .0047 0.9 8159 8186 .8212 .8238 8264 .8289 .8315 .8340 .8365 8389 - 2.5 .0048 0049 0051 0052 0054 0055 .0057 .0059 0060 0062 1.0 8413 8438 8461 8485 8508 8531 .8554 8577 .8599 .8621 - 2.4 0064 .0066 0068 .0069 .007 0073 .0075 0078 .0080 0082 8643 8665 8686 8708 8729 3749 8770 .8790 8810 .8830 0039 .0099 .0102 1.1 - 2.3 .0084 0087 .0091 .0094 .0006 .0104 .0107 8849 8869 8888 8907 .8925 8944 .8962 ,8980 .8997 9015 -2.2 0119 0132 0136 .0139 1.2 .0110 .0113 0116 .0122 0125 0129 1.3 .9032 .9049 9066 9082 .9099 9115 9131 .9147 9162 9177 -2.1 .0143 .0146 .0150 .0154 .0158 .0162 .0166 .0170 .0174 .0179 .9207 9222 ,9236 .9251 .9265 .9279 .9292 .9306 9319 0183 0188 .0192 .0197 .0202 .0207 .0212 .0217 .0222 .0228 1.4 9192 - 2.0 9332 9345 .9357 9370 9382 .9394 9406 9418 .9429 9441 1.5 - 1.9 .0233 0239 0244 0250 .0256 .0262 0268 .0274 0281 0287 .9545 1.6 9452 .9463 9474 9484 9495 9505 9515 9525 .9535 - 1.8 .0294 0301 0307 0314 .0322 0329 .0336 .0344 0351 .0359 1.7 .9554 .9564 9573 9582 .9591 9599 9608 9616 9625 .9633 - 1.7 .0367 .0384 .0392 0401 .0418 .0427 .0436 0446 1.8 .9641 9649 9656 9664 .9671 .9678 9686 .9693 .9699 9/06 - 1.6 0548 .0455 0465 0475 0485 .0495 .0505 0516 .0526 0537 19 .9713 9719 9726 9732 9738 .9744 9750 9756 .9761 .9767 -1.5 .0559 .0571 0582 .0594 .0606 .0618 .0630 .0643 .0655 .0668 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817 - 1.4 0681 .0694 0708 2721 .0735 .0749 .0764 .0778 .0793 0808 2.1 9821 .9826 .9830 9834 9838 .9842 9846 9850 .9854 9857 - 1.3 .0823 0838 0853 .0869 0885 .0901 0918 .0934 0951 0968 2.2 9861 9864 9868 0871 9875 .9878 ,9881 .9884 .9887 9890 - 1.2 .0985 1003 1020 1038 1056 .1075 .1093 ,1112 1131 1151 2.3 .9896 .9898 .9901 9904 .9906 .9909 9911 .9913 .9916 - 1.1 .1170 1190 .1210 .1251 .1271 .1335 .1357 .9893 .1230 .1292 .1314 2.4 9918 .9920 .9922 .9925 9927 .9929 9931 .9932 .9934 .9936 1401 1423 .1446 1469 1492 1515 .1539 .1562 .1587 - 1.0 2.5 9938 9940 9941 9943 9945 9946 9948 9949 9951 9952 - 0.9 .1611 .1635 .1660 .1685 .1711 .1736 .1762 .1788 1814 .1841 2.6 .9953 9955 .9956 .9957 9959 .9960 .9961 9962 9963 .9964 -0.8 1867 1894 .1922 .1949 .1977 .2005 .2033 .2061 .2090 .2119 2.7 .9965 .9966 .9967 9968 9969 .9970 .997 .9972 .9973 9974 - 0.7 2177 2206 .2236 .2266 2296 .2327 .2358 .2389 2420 .9981 .2148 2.8 .9974 .9975 .9976 9977 9977 .9978 9979 9979 9980 -0.6 .2451 .2483 .2514 .2546 .2578 2611 .2643 .2676 .2709 .2743 2.9 .9981 9982 .9982 9983 9984 .9984 .9985 9985 9986 .9986 - 0.5 2776 .2810 .2843 .2877 2912 .2946 .2981 .3015 3050 .3085 3.0 .9987 .9987 .9987 .9988 .9988 9989 9989 .9989 .9990 .9990 .3264 3409 - 0.4 3121 3156 3192 .3228 .3300 3336 3372 .3446 .3821 3.1 .9990 .9993 .9991 9991 9991 9992 9992 9992 .9992 9993 - 0.3 .3483 .3520 .3557 .3594 .3632 .3669 .3707 .3745 .3783 3.2 .9993 .9993 .9994 .9994 .9994 .9994 9994 .9995 9995 .9995 - 0.2 .3859 .3897 .3936 .3974 .4013 .4052 .4090 .4129 .4168 4207 3.3 9995 .9995 .9995 9996 .9996 9996 .9996 .9996 9996 9997 - 0.1 .4247 4286 .4325 .4364 4404 .4443 .4483 4522 .4562 4602 9997 9997 9997 999 9997 9997 9997 .9997 9997 9998 -0.0 4641 4681 4721 4761 .4801 .4840 4880 4920 .4960 5000 3.4 .0 .01 .02 .03 04 .05 .0 .07 .08 .09 .09 .08 .07 .06 05 04 03 .02 01 .00 Print Done Print DoneUse a table of cumulative areas under the normal curve to nd the zscore that corresponds to the given cumulative area. 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. l1 convenient, use technology to nd the z-score. 0.054 Click to View page 1 of the table. Click to View [age 2 of the table. The cumulative area corresponds to the z-score of D. (Round to three decimal places as needed.) Standard Normal Table (Page 1) Standard Normal Table (Page 2) z 0.00 0.01 0.02 0.03 0.04 0.05 0.05 0.07 0.I 0.0 .I50000.5040050800.512005160051990523905279053- 0.1 I .53980.5438054780551 70.5557055960563605675057 0.2 I.57930.5832058710.59100.5948059670602606064061 . I.61 790.621 70625506293063310.63680640606443064 . ' I 0554065910.662806664067000673606772068080.68- . I.69150.695006985070190.70540708807123071570.71 . - I_72570.72910.73240.735707389074220.745407486075 . I.75800.7611 076420.767307704077340776407794078- .' I ..78810 79100. 79390 79670. 79950. 80230. 80510. 80780 81 ' I 6.1 590. 81860. 82120. 82380. 82640 82690. 63150. 83400. 83- 1 0 I .84130. 84380 84610. 84850. 85080. 85310. 85540. 85770. 85 1.1 I .86430.86650868608708087290874906770087900.88- 1 .2 I 88490886908888089070892 50.89440896208980089 . I.90320.9049090660908209099091150.913109147091 . .I91920.92070922209236092510.92650927909292093 . I.93320.93450.935709370093820939409406094180.94- . - I .94520.9463094 740948409495095050.951 509525095- . I .95540.95640957309582095910.95990960809616096 . I I 96410 96490 96560 96640. 96710 96780.96860 96930. 9 I .971 30. 97190. 97260 97320 97380 97440. 97500. 97560. 9 001400014000150.00150001600016000170.00180. 00190.0020000210.00210.00220002300023000240. .00260.00270002800029000300003100032000330. .00360.00370003800039000400004100043000440. 00480.0049000510.0052000540005500057000590. .00640.00660006800069000710.007300075000780. 00840.008700089000910.00940009600099001020. 01430.0146001500.0154001580.016200166001700. .01830.01880.01920.01970020200207002120.02170. .02330.02390024400250002 560026200268002 740. 02940.0301003070.03140.032200329003360.03440. .03670.03750038400392004010.040900418004270. .04550.04650.0475004850049500505005160.05260. 05590.0571005820.0594006060061800630006430. .06810.069400708007210.07350074900764007780. .08230.0838008530.08690088500901009180.09340. .09850.10030.10200.1038010560.1075010930.11120. 2. 0 I \"97720 97780 97830 97860 97930 97980. 98030 96080. 98- 2.1 I .98210.98260.983009834098380984209846098500.98 2.2 I .9861096640.9868098710.9675098780988109684098- . I .98930.989609898099010.9904099060990909911 0.99 . ' I .991 80.9920099220992 50.992 70.99290993 1 099320.99 . .I99380.9940099410.994309945099460994809949099 . - I.995309955099560995709959099600.9961099620.99 . I .99650.9966099670996809969099700.9971099720.99 . : I ..99740 99750. 99760 99770 99770 99780. 99790 99790. 99 I 998.10 99820 99620 99830 99840 99640. 99850. 99850. 99 3. 0 I 998.70. 99870 99870 99880 99880 99890. 99890 99890.99 3.1 I 999009991099910.99910.9992099920999209992099 3.2 I_9993099930.999409994099940999409994099950.99 . I.99950.99950999509996099960999609996099960.99 . I .99970.999709997099970.99970999709997099970.9 ' z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.I Use the Standard Normal Table or technology to nd the zscore that corresponds to the following cumulative area. 0.966 111e cumulative area corresponds to the zscore of I]. (Round to three decimal places as needed.)
