Question 2.

Find the area of the shaded region. The graph depicts the standard nomal distribution with mean 0 and standard deviation 1. Click to view page 1 of the table. Click to view page 2 of the table. The area of the shaded region is] (Round to four decimal places as needed)D POSITIVE z Scores NEGATIVE z Scores Standard Normal (2) Distribution: Cumulative Area from the LEFT Standard Normal (2) Distribution: Cumulative Area from the LEFT .04 05 08 .04 106 .08 00 $000 5040 5130 5675 $714 5753 -1.50 5948 6064 5812 5910 5987 and 6406 6443 6517 625 6531 6844 0003 0005 677 DOOS 100 09 6554 6591 DOOS ,7054 7088 7123 7IST 7190 7224 DOOM 0004 as 6915 6950 8905 7019 3517 754 0606 725 7291 7134 735 7189 7432 MS4 -1.2 0907 DOOT 7794 7823 DOOR 7580 3611 767 7704 7734 JM4 -31 oon 7995 -JO 7681 7910 8023 8212 8340 8365 8389 8186 -20 6018 8159 9020 8467 8508 8554 8577 8590 -2.1 DOOM 0021 8021 0021 8413 0026 8708 8729 8743 8770 4790 -27 8643 1544 8950 soIs -26 9047 DO45 0041 9037 10036 6849 8907 8925 .005 9175 5147 5162 5177 -25 0062 0055 9032 9292 9019 0083 0078 5075 9049 -24 ooBo 9192 9207 923 9251 9265 9279 0084 9352 $470 9406 -23 0107 0104 950 953 9545 -23 OLD 0153 0129 0123 .one 9452 OH 9582 9591 9590 DGOB 9025 -21 OTH 0170 0302 0154 9554 9004 3093 9059 970 -20 0226 0222 0217 0212 0207 0197 0192 9641 9064 9471 9750 9756 976 9767 -19 0247 0201 0374 0363 0290 0344 0232 9719 9726 9732 .9803 9813 -18 .0350 035 034 0322 0301 3772 9778 9793 9798 2038 90-12 9854 9457 -17 0446 0423 040 9821 10-455 .9881 9890 -16 0548 0517 0526 0505 0475 O405 9861 0594 POOL 9304 -15 0648 0455 0721 9918 9922 9025 9027 9029 .9931 9902 5934 9036 -14 0808 0770 24 $951 0869 -13 0931 opus 25 9938 9946 9940 5075 1020 100 9951 996 -13 1095 1056 26 9953 9250 990 597 1292 1271 1251 1230 1210 1170 27 9965 9970 9971 -11 WEST 1469 12S 1372 9279 9290 -to 1503 1532 1315 28 1763 1730 2660 8945 -on 20 anan 1977 1922 1867 7010 2034 20055675 5478 5857 5714 598 5517 SORT 6104 0601 07 5910 DOOT 03 6217 1255 640 6480 6517 lower COOL DODE 6179 CASA -13 10905 DOO DOOL DOOS 05 6915 7019 7054 DO0 DODE 0006 DOOD DOOR 7291 7432 7794 7825 7852 can 9010 7642 7675 7104 7754 7764 7671 COL BOS! OOL 7681 7980 7939 7957 7995 0916 8365 09 8186 0026 8554 8577 0027 6034 GORE 10 BARS DOSS 8790 COST 11 8643 8665 8729 -26 8925 -25 0059 DOST 0 055 6054 6057 10051 12 8849 9099 91 5 9131 9177 0073 10069 9032 9049 9066 90 8 9319 -24 $251 0102 DOPE Ano 9406 on 9594 15 9353 9570 OUS 9576 9525 9535 OTM 0170 9452 0192 0218 0323 0217 0212 0207 0197 17 9554 9706 0256 COSO 0219 0231 9571 9699 9641 9464 9678 0287 6381 0374 0262 9750 9754 9761 9767 6351 0329 029- 19 9719 9726 9732 9744 036 980 9817 0359 0392 0375 0427 0 409 20 9172 9778 9798 9804 0146 985 9457 DERS 045 21 9821 9826 9854 9842 9846 9850 10516 0505 9861 9864 9871 9475 9878 9884 9847 9890 2.2 070 23 9893 9901 9906 5909 0778 10721 040 ORER 24 9120 9025 9941 5946 994 9951 1020 100 25 9958 9040 9963 127 1251 1719 7190 26 9955 SALE 9957 9960 1792 1401 9965 9970 9975 27 -10 1562 1575 1492 1379 3617 9975 9976 9937 $977 9978 .9979 9979 9980 9981 1711 -0.9 1841 ITRA 9986 2005 1977 1949 3867 9981 9982 9985 9984 9985 9990 2119 3148 9987 9989 .9989 .998 9990 720 2389 2266 2451 9991 9991 9492 9992 999 9994 3514 9990 1666 -06 3776 9994 9994 9594 9495 995 9990 9093 -0.5 9095 9906 9996 999 9996 9991 3156 3121 9996 9995 -04 3409 3520 989 9397 -03 1936 -0.2 4307 4168 4179 4053 424 and up -01 4602 A443 Common Critical Valu 4920 4840 4721 NOTE: For values of a above 3.45, une 0.9999 for the area Confidence | Critical "The there common values that result from interpolation Level Value NOTE For values of a blow -1.49, ww 0 0001 for the area 0.90 "The these common values that result from interpolations 9.9500 2.575 0.5950 0.99 2.575 -1645 0.0800 -2575 0.0050Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. The area of the shaded region is(]. (Round to four decimal places as needed)Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. The area of the shaded region is(] (Round to four decimal places as needed)Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Q Click to view page 1 of the table. Click to view page 2 of the table. Q 0.9071 The indicated z score is(. (Round to two decimal places as needed)POSITIVE z Scores NEGATIVE z Scores Standard Normal (2) Distribution: Cumulative Area from the LEFT Standard Normal (2) Distribution: Cumulative Area from the LEFT 06 09 00 02 02 03 .05 .GE 07 -150 5000 $120 $160 .5239 $279 5319 $359 5040 and .5675 5714 5753 5.598 S478 5857 5696 .5656 lower 0002 5853 5871 5910 5987 6026 6141 DOO 9003 0003 02 -JA .0004 0004 10004 00 04 0003 03 6179 6217 6755 6351 6368 6406 6443 6480 6517 -3.3 DOOS DO04 DOOS .0005 0005 6554 #700 6736 $772 -32 7019 7054 7083 7125 7190 7234 DOK 0609 0009 BOOB 05 6950 -31 7517 9012 oon con 10:010 9010 9013 06 7257 7291 -so 7853 DO17 0014 7794 .OOM 07 7580 7642 7675 7704 -29 002 DO2S 0021 10:02 0020 8025 08 7459 7995 -28 0075 0034 8238 8264 8365 -27 0035 .0033 0032 0029 .0.023 0027 0:036 09 8159 LO 8508 -26 9047 004 0043 8485 8577 9040 0037 8438 0059 0057 0055 .0054 0052 10:051 0049 100-48 8729 4770 -25 0062 9015 890 8925 899 -24 0082 0076 0075 0071 0069 12 9083 9099 9115 .9131 9147 9 62 9177 ,0069 SOL 9049 9065 -23 0107 0104 9306 909 0129 14 9192 9207 9727 9256 9251 9265 9275 9292 -22 0139 O136 .9406 9429 9441 -21 01M 0170 0162 0154 J0150 0146 9545 9570 9535 019E 0186 16 9505 9515 9525 -20 0218 02:22 0212 0202 959 9608 9615 962 0247 0281 0374 0362 0256 0250 0244 955 9564 9575 9562 9591 9699 970- 0344 0536 0327 0901 LB 9641 9665 9671 9578 4686 0359 19 9713 9752 9758 9750 9756 9761 9767 0367 9726 9744 -17 0446 0427 040 0392 9788 9794 9798 .9803 SBOB 9812 9812 -16 0548 0557 0526 0516 0505 0-485 OAT D-455 20 9772 9778 9854 9857 .0606 0594 10571 0509 9850 21 9834 9842 1846 -15 0655 $821 9826 .968 9887 9890 -14 077 0764 OM 0735 0721 0706 0681 2.2 9861 9864 9872 9875 10808 9901 9904 9905 9909 991 9913 9916 -13 0958 0951 0934 0918 090 0869 0823 23 9893 9914 9936 9925 -12 3151 In12 1093 1048 2020 100 0985 24 9922 9959 1271 12:51 1230 1210 J190 1170 25 9939 $941 9943 994 9951 -11 1357 1335 104 1292 9063 1515 3492 1440 1425 3-401 1579 26 9953 POSS 9957 9950 .996 1587 1562 9965 9456 9967 9968 9969 9370 .4971 9972 9973 -09 1841 3814 1762 27 1867 9980 JOST 2033 2005 9974 9975 9976 9977 9972 9978 .9975 9979 -O.8 209 $981Standard normal table (page 1) Standard normal table (page 2) A lower 0:002 SETS 5753 .00.03 01 5478 6103 0004 6004 DO04 0004 5793 5832 59% 5948 -3X 02 CITS 6217 6255 6293 6331 6406 6443 6489 6517 -32 BOOT OOOH 6028 6736 6772 CB44 -31 DONO 7123 7157 7190 0:012 05 6915 6950 6985 7054 -30 7357 7422 MSA 3517 -29 0018 0017 0016 0015 0014 06 7257 7251 7354 2794 7023 002 0:032 0021 10:021 0:020 7900 7673 7704 7734 -2.8 002 0024 07 9026 6026 7801 7939 7995 8078 -27 DOES DOTA 8365 0039 09 8212 8258 8289 8340 -26 9047 0045 0044 8577 8621 -25 0057 0:051 6045 LO 8413 8:461 B485 0062 DO60 6059 0055 ,0054 AT70 8790 6078 0075 .0071 006 O068 .6066 U 8643 8665 8729 -24 0099 0096 0094 0091 0069 0084 12 6849 ADOT 8925 8962 8900 -23 0104 ono 904 9082 cons 9131 0162 0177 -23 0139 0129 0125 012 0119 9032 OME 14 9192 9207 9223 9236 925 9265 9279 -21 OTM 6170 0162 0154 9034 9406 9418 9429 9441 -20 0228 0322 0217 0712 0207 LS 9332 9345 9357 9370 2484 9505 9525 9535 0233 9452 9463 94M -1 0287 0374 0250 LG 9425 03:07 02-0-1 9554 9473 2502 0359 0351 034 0329 0372 0314 9649 9641 9671 9478 9093 9704 0384 -17 0446 0427 0409 0393 0475 9713 971 9720 9732 9730 9744 9750 9756 9761 9767 -1.6 9548 0526 0516 # 0495 9817 0559 9772 9776 9783 9788 9793 9798 9803 9808 9812 -1.5 LOGEE 0643 OGSO OGOG 0694 .9821 9826 0834 9838 9042 9850 2854 -9857 -1.4 0808 0791 0778 0764 0715 0721 0708 0853 0823 DOG DOCE 987 .9890 -13 0968 0951 098 9904 -12 3151 3075 1056 1292 1271 1251 1210 1170 9016 9925 -9531 -11 1357 1335 9343 9046 9040 9051 4952 1492 1469 MAG 1401 1379 1515 123 9938 9941 -10 1587 1562 9953 9355 9950 9957 995% 9060 9941 9062 9064 -09 1841 1814 1762 27 .9965 9967 9068 9909 9070 9971 9972 9314 2080 3061 200 1977 9081 252 229 2256 2700 217 20 5970 9077 9977 9078 0970 -07 24 20 2349 25M 2483 29 9982 9901 9105 9901 -06 2M43 2709 2570 2946 3877 2810 2976 30 -9987 9987 9985 -9968 9089 9949 9969 -0.5 3085 1050 3015 9992 9932 9932 9902 9923 $536 3264 1228 5156 3121 3409 3572 31 9990 5991 -04 3557 34AS 32 -9903 9294 9994 9094 9594 9095 -03 JMS JAS 9095 9095 9096 2996 -02 4207 4168 4090 4062 JOM 4325 9997 9097 9037 -01 4602 4563 4522 1483 4443 1404 #000 4840 9909 and up Common Critical Value NOTE: For values of z below -1.49, use 0 9001 for the area VOTE For values of r above 3.49, use 09999 for the area. Use these common values that result from interpolations Confidence | Critical "The these common values that result from interpolation Level F Poore F Score 0.90 1645 1645 0.9500 -1.645 0.0500 0.95 -2575 0 0050 2:575 0.90 2575Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. 115 The area of the shaded region is [ ]. (Round to four decimal places as needed)NEGATIVE z Scores POSITIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT Standard Normal (z) Distribution: Cumulative Area from the LEFT .06 .07 02 .03 .04 .06 .07 .02 .00 02 .03 04 .05 .5080 5120 .5160 5199 5239 $279 5519 5459 5000 5040 -150 5714 5753 5398 5438 5478 5517 5557 5596 5636 5675 and 02 5793 5852 5871 59% 5948 5987 6026 6064 610.5 6141 lower Go01 0003 0003 0003 0002 03 6179 6217 6755 5295 6351 6568 6406 6443 6480 6517 -JA OOO3 OOO3 0003 6554 6591 6628 5664 6700 6756 6772 .6808 6844 6879 0DOS 000 0004 6915 6950 6985 70 .7054 7088 7125 7157 7190 7224 0007 0007 5006 0006 0006 7549 0009 0008 DOOR 7257 7291 7524 7557 7389 7422 7486 7517 -31 0009 con 3010 0010 7580 7671 7642 7673 .7704 7764 7794 7823 7852 -30 DOTS DO13 07 7859 7957 7995 8023 80ST 8078 8106 -2.9 0017 0016 0016 0015 0015 0014 7681 7910 8340 8365 8389 0025 0024 0023 0023 0027 0021 0021 0020 .0019 0026 09 8159 8186 8212 8264 8289 8315 -28 8531 8554 8577 8599 8621 -27 0035 0032 oom 0029 0027 0076 LO 8413 8438 8461 B485 8508 8830 D044 0043 0041 DO40 0039 0037 U 8643 8665 8686 8708 8729 8749 8770 8790 -26 0047 0045 8907 8925 8944 8963 8980 8997 2015 0048 8849 8869 -25 0062 0060 0:059 0057 .0054 0052 0051 0049 12 10065 0064 13 9032 9049 9066 1082 9099 9151 9147 9162 9173 -24 0082 0080 0078 0075 0073 0071 0069 9222 9256 9251 9265 9279 9292 9406 9519 9207 -23 0107 0104 0102 0099 0096 0094 6091 0089 .0.084 14 9192 15 9532 9545 9357 370 9382 9394 9406 9418 9429 44 -22 0139 0136 0132 0129 Sao 0122 on19 onE ono OMS 16 9452 946 94M 9484 9495 9505 9515 9525 9535 9545 0170 016 0162 .0158 0154 0150 0146 -21 0179 0174 956 9575 9582 9591 9599 .9608 9616 .9625 9633 0193 -20 0228 0222 0217 0212 0207 0202 0197 0192 9554 0250 0244 0239 0233 18 9641 96-19 9656 9664 9671 9678 9686 9693 9699 9706 -19 0287 0281 0274 0268 0262 0256 03M 0307 0301 .029 19 9713 9719 9726 9732 9738 9744 -9750 9756 9761 9767 0359 0351 0344 .0336 0329 0322 9788 9795 9798 9803 9808 9812 9817 0436 0427 0409 040 0392 0575 20 9772 9778 9783 9854 -9857 D485 0475 0465 0455 21 9821 9826 9830 9834 9838 9842 -5846 9850 -16 0548 0537 0526 0516 0505 0495 988 9890 .0559 9861 9864 9868 9871 9875 9878 9891 9884 -1.5 0668 0655 0643 0630 .0606 0594 0582 0571 22 .9904 9206 .9909 .991 5913 9216 9898 -14 0808 0793 0778 0764 0740 0735 1721 0708 0694 0681 23 9893 9896 .9918 9925 .9927 9929 9931 9932 9934 9920 9922 .9936 095 0918 0901 0853 1838 0823 -13 0968 0934 OB85 24 1003 0985 25 9958 9940 9941 9943 .9945 9946 9948 9949 995 9952 1712 1093 1075 1056 1020 -12 151 9956 9957 .9959 9960 9961 9962 9965 9964 -11 1357 1535 1514 1292 1271 1251 230 1210 1190 170 26 9953 9955 1379 27 9965 9956 9967 9968 .9969 9970 -9971 9972 9973 9974 1401 -10 1587 1562 1539 1515 1492 14-46 1423 9980 998 1414 1763 1736 171 BAS 660 1635 1611 9974 1977 9977 9378 -9979 9979 1841 28 9975 9976 1967 9981 9982 9982 9983 9984 9984 9985 9585 9986 .9986 2090 2061 2033 2009 1977 1927 1894 aninStandard normal table (page 1) Standard normal table (page 2) and 01 5478 6517 5714 575 lower 6141 0003 0605 0002 02 5793 5832 5871 59% 5987 6076 6064 6103 -3.4 0003 0003 0003 DOOS 6341 6468 6406 6480 6517 0005 0005 0004 0004 0004 0004 10004 .0903 6179 6217 6255 6293 -J.J 6554 6591 6478 GG64 6700 6756 6772 DOOS 0006 DODE 0005 0605 04 7190 0008 DOOR DOOT 6915 6950 .7054 7083 7123 7157 -3.1 DOID 0009 DO09 0009 754 3010 .7257 7291 7324 7357 7389 7422 7517 DOTS 0013 0012 3642 7673 7704 7754 7764 7794 7825 .7857 6015 0015 0014 .OOM 07 7580 7671 -29 0017 7939 7967 7995 8023 .8051 8078 -2.8 0026 0025 0024 0023 0023 .0023 0021 8021 0020 7981 7910 8365 BIBS .0053 .DOTO 0029 .0028 0027 .0026 09 8159 8212 8289 8315 8340 -27 OOUS 0034 8461 .8554 8577 8590 #621 -2.6 0047 0045 0044 004 DO-41 0040 0039 0038 0037 DOSE LO 8413 8438 .0048 u 8643 8665 8686 1708 8729 8770 8790 ARTO 0060 0059 0057 0054 0049 -25 0062 0055 0052 0057 8907 8925 BOBO 8:907 9015 0080 0078 .0075 0073 .0071 12 8849 -24 0082 9049 9056 00 82 9099 9131 9147 9162 9177 0102 .0094 0091 0087 9032 -2.3 0104 .0089 9251 9265 .9279 9292 9306 0136 0132 012 0125 .0422 ons 14 9192 9207 9222 9236 -2.2 .0145 15 9332 9345 9357 9370 9382 9394 9406 9418 9429 944 0146 -21 0179 0174 0170 .016G 0162 0154 .0150 9452 9463 9484 .9515 9525 9535 .0184 9474 9406 -20 0228 0222 0217 0212 0207 .0202 0192 16 9573 9582 9591 .9608 1616 0625 9564 -19 0287 0281 0274 0262 ,0256 0250 0M44 0239 .0231 17 9554 9641 9649 9656 9671 9678 .9686 9693 9699 9706 0307 0301 -18 0359 0351 0344 0136 0320 0322 9761 9767 .0392 0375 .0367 9713 9719 9726 973 9738 9714 .9750 9756 -17 0446 0436 0427 0418 10:409 9798 9817 0455 20 9783 9788 9793 .9803 9808 9812 9778 -16 0548 0537 0526 0516 0505 0495 0485 0475 0465 9772 9838 9842 9850 9854 .9857 9826 9834 .9846 -15 .0668 0655 0643 0630 0618 .0606 0594 0582 0571 .0559 .9821 9887 9890 0735 0721 .0708 0694 .0681 9861 1864 987 9878 .9801 9884 -14 0808 0795 077 OM 9904 9006 .9909 .991 0913 -13 0968 0951 0934 .09% 0901 9885 0869 0853 0823 .9893 9896 0898 9936 1:12 1095 1075 1056 1048 1020 1003 .9018 9320 9922 0925 9927 9931 $932 -12 151 9940 9941 9945 9946 .9948 99:49 9957 9952 -1.1 1357 1535 1314 1292 1271 1251 1230 1210 1190 .1170 9938 1423 1401 1579 26 9953 9255 9956 9057 9059 9060 .9961 9062 0963 2964 -10 1587 1562 15:59 1492 .9974 1762 1736 1685 1660 1635 27 .9965 9967 .9969 9970 .9971 9972 9975 9966 -0.9 1841 1814 1788 20 .9974 9975 9976 9977 9977 9978 .9979 9979 9980 1949 1922 189-4 1867 -0.8 2119 2090 2061 2035 2005 1977 2177 .21-48 29 9961 9982 9982 9983 9984 9984 .9985 9985 9986 -O.7 2420 2389 2358 2327 2296 2266 2256 2206 9890 2611 2578 2546 2514 2451 9987 9987 9988 .9989 9989 9090 -0.6 2743 2709 2676 2810 .2776 31 9990 166 9991 9992 9992 .9992 9992 9993 9393 -0.5 3085 3050 3015 29:46 2912 2877 .9904 9995 9995 3336 3300 3264 3228 3192 3156 .3121 32 9993 9293 9094 9904 -0.4 34 46 3409 3572 9995 9995 9996 9996 9996 9996 9996 2996 9997 3520 3483 33 9295 -03 4821 3785 3745 3707 3669 3632 3594 3557 9097 .8997 4168 4129 4090 4052 4013 3974 3950 3897 .3859 9997 9927 -0.2 4207 4602 4562 4522 4483 4143 4404 4364 4325 #286 .4247 350 9999 -0.1 .4641 and up 5000 4920 1880 4840 ABOI 4761 4721 A68 NOTE: For values of 2 above 3.49, use 09999 for the area. Common Critical Valus Confidence | Critical NOTE: For values of 2 below -3.49, use 0.0001 for the area "Use these common values that result from interpolations Level Value "Use these common values that result from interpolation: F score Area 0.90 1.645 1645 0.9500 Score Area 0.95 196 -1645 0.0500 2.575 0.9950 2575 -2575 0.0050