In a survey of women in a certain country (ages 20-29), the mean height was 65.3 inches with a standard deviation of 2.76 inches. Answer the following questions about the specified normal distribution. (a) What height represents the 95th percentile? (b) What height represents the first quartile? Click to view page 1 of the table. Click to view page 2 of the table. (a) The height that represents the 95th percentile is inches. Round to two decimal places as needed.) T) 5-1850) Spring 2022 ork: Sec 5.3 HW- Dist: Finding Values Question 7, 5.3.31 Part 1 of 2 HW Score: 60%, 6 of 10 O Points: 0 of 1 in a certain country (ages 20-25 the mean height was 65.3 inches with a standard deviation of 2.76 inches. Answ nd nomal distribution presents the 95th percen presents the first quarte 1 of the table. Click toxir age 2 of the late cimal place lve this Standard normal table (page 1) 0.09 0.00 0.07 0.04 0.05 0.04 0.03 0.02 0.01 0.00 -34000020003000030000300003 00003 00003 06003000300005 -3.3j0.0003 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0005 0.0005 0.0005 -320.0005 0.0005 0.0005 0.0005 0.0006 0.0006 0.0006 0.0006 0.0007 0.0007 -31 0.0007 0.00070 0008 0.00080 0000 0000 00009 0.0009 000090010 300.0010 0.0010 0 0011 0.0011 0.001 0.0012 0.0012 0.0013 00013 0.0013 -290 0014 0.0014 0.0015 0.0015 0.0016 0.0016 0.0017 0.0018 0.0018 0.0019 -28 0.0019 0002000021 00021 0 0822 00023 00023 0.0024 00025 00026 -2700025 00027 00028 00029 0003000031 00032 00033 00034 00035 -2.6 0.0036 00037 0.0035 000390 0040 0.0041 0.0043 0.0044 0.0045 0.0047 -2.5 0.0045 0004900051 00052 00054 00055 00057 00059 0.006000062 -24 0.0064 00066 0.0060 0.0069 0007100073 0.0075 0.0078000000082 -2.3 0.0004 0.0087 00009 0009100094 00096 0.0099 0.0102 0.010400107 -220 0110 0.0113 0.0116 00119 0.0122 0.0125 00129 0.0132 0.013600139 -2100143 0.0145 00150 00154 0.0158 00162 0.0166 00170 0.0174 0.0179 -29 0.0183 0.0158 0.0152 80157 00202 0 0207 0 0212 0 021700222 00226 -1.9 0.0233 08239 8024400250 0.0256 00262 0 0266 00274 0.0281 0.0287 1.300294 00301 0.0307 0.8314 0.0322 0.0329 00336 0.0344 0035100359 -1700367 0375 0.0384 0.0392 00401 004090041800427 00436 00446 -1.6 0.0455 00465 0.0475 0.0405 0.0495 0050500516 0.052600537 0.0548 -1500559 0.0571 0.0582 0.059400606 0.0613 00630 00643 00655 00 -140 0001 0.0004 0.070600721 0.07350074900764 00778007930000 -1300023 00638 00853 00069 0.0005 0.0901 0.0918 0 0934 0 095100 4 n in a certain country (ages 20-29) the mean height was 65.3 inches with a standard deviation of 2.76 inches An normal distibution resents the 95th percen resents the first quarte of the table. Click to view page 2 of the table represent mal place ve this Standard normal table (page 2) 2 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 65000050400500005120 05160 65199 05239 05279 0.6319 05359 0.1 0.539805438 0.5478 0.5517 05567 0.5596 0.5636 0.5675 0.5714 0.5753 0.2 0.5793 0.5832 0.5871 0.5910 0 5948 0.5987 06026 0 6064 0.6103 06141 0306179 0.6217 06255 06293 0 6331 06368 0 640606443 0648006517 0.4 0.655406591 06620 0.6664067000 6736 0.6772 06808 06844 06879 0506916 0.6950 0.6985 0.7019 07054 07088 07123 0.7157 0.719007224 06 07257 0.7291 0.7324 0.7357 0.7389 07422 0745407450/51707 72157957 8 7389 07422 07454 0.7486 07517 0.7549 7734 7764 0.7794 0.7823 0.7852 07 075800 7611 0.7542 0.76730 77040773407764 07794 07823 00 8023 0 8051 00078 08106 0.5133 08 07881 0.7910 0.7539 0.7967 07995 080230005100780 08209 0.8315 0.8340 0.83650.8389 0903159 00106 0.8212 08238 0 826408289 08315 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 08554 0.857708599 0.8621 1.1 0.0643 0.8665 0.8686 0.8708 08729 06749 0 4908770 0879008810088:30 1204900900088 08907 0.8925 0 508944 0 8962 0 8580 0.8997 09015 20 13 09032 09049 09066 09082 0 5099 09115 0.9131 09147 0.9162 0.9177 14 0.9192 0.9257 0.9222 0.9236 0.9251 092659279 0.9252 0.9306 0.9319 15 09332 09345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 16 09452 05463 0.9474 09454 0.5495 09506 0.9515 0.9625 0963509545 17095540 9564 09573 0 9582 0 9591 0.9599 0 9608 0.9616 09625 0.9633 13 09641 09649 0.9656 0.9664 0.9671 0.9678 09606 09693 0.9699 0.9706 19 0571305719 0.9726 09732 09730 0.974409750 0 5756 0576105767 20 09772 0.5778 0.9783 0.9766 0.9750 09796 09003 0.5000 0.9612 0.9017 2.1 5621 69826 0 9530 0.9834 09030 0.9042 0.9846 0.985009054 09057 A O AN 9 O 1 P