198 Chtfdng 5: Ly thu vet m lu PHAN 11: LY THUYET THONG KE ChuWng5 LY TH U Y ET M AU I K h a i n i^ m v e phtfcfng p h a p m&u M Su v a d a m d o n g Trifdc tie n ta x et m ot vi du sau: V i du: Muon d an h gia sure khoe cua hoc sinh, sin h vien trifcrng D hoc Cong nghiep Tp.HCM noi chung 111 to t hay binh thifcrng hay kem , va muon co k e t qua tro n g thori gian ngan (m ot chang han) The th i ta khong th e k h am stic khoe cho tr e n to a n bo cho 50.000 hoc sin h sin h vien to&n trifdng dtfcrc C ta d an h chon n g iu n h ie n m o t vki bo p h an sin h vien nao do, roi kiem tr a sufc khoe ho Dtfa vko ket qua nhif vay, chung ta co th e k e t lu an ve tin h h in h sufc khoe chung cho to a n bo hoc sinh sin h vien tro n g trtfcrng O day sinh van de: k e t luan cua chung ta chinh xac den mtic nao, ro n g neu chung ta chon nhieu hoc sinh va i deu tre n cac ldrp, cac he khac th i k e t qua cang tin cay hon Nhifng nhieu la bao nhieu? N eu nhieu qu& th i khong xue N eu it qua th i k e t qua it tin cay V an de cua thong ke la dtfa vao nhting phiforng p hap chon hop ly, vifa dd to n kem vifa co k e t qua dang tin cay Ve sau n ay ta se difa nhufng cong thtic to a n hoc cho phep chi ro so ltfong co th e can phai dieu tr a tro n g m6i b&i to an th o n g ke so lifcfng Vay k h i ta can n ghien ctiu m ot ta p ltin gom N (hufu h an ltin, hay vo h a n dem difOc) p h an tti (goi la d a m d o n g ), N la kich thiftic dam dong, m ot ly nao ta kho n g th e nghien ctiu difcfc ta t ca moi p h an tti cua chung Ta lay m ot ta p nho gom n p h an tti (goi la m au), n goi la kich thiftic m lu , va ng h ien ctiu chung th a t ky bang phifong phap khoa hoc de Chifcfng 5: Lv thuvet mau 199 roi tif d6 ru t diforc k et lu in khach quan ve toan bo tap ldn dim dong N phan tur d tren, phifcfng p h ip goi la p h U ctng p h a p m d u + Cac dac trung cua X la cic dac trung cua dam dong + Xet ve liforng ta quan tam den d#c tnm g sau Trung binh d im dong fi = E( X) Phifcmg sai dam dong cr2 = var(X) + Xet ve chat, ta quan tim den ti le p cua cac phan tuf co tinh chat A (=1) n io va khong co tin h chat A (=0), vay X = (0; 1} J > - • — Ta phan bi§t hai loai mau n h a sau: 1.2 M lu to n g q u at, ( m iu n g l u n h ie n ) v a m § u c u th e + M lu gom n phan tti quan s i t doc lap (Xi,X2,.-»Xn) dufgc lay tCf d im dong l i m lu tdng q u it (m lu n g lu nhien) vdi kich thiftic m lu la n + Tien hanh quan s i t ttf m lu n g lu nhien d tren, ta diforc cic gii tri cu the X j = th i (xi,x 2, ,xn) l i m lu cu th e , n dtfcrc goi la kich thiftic m lu cu the Chu v: + Ta chi xet c ic k et qua quan s i t doc lap + Khi xet ly thuyet ta dung m lu tdng q u it, lam to in th i ta dung m lu cu the + X ic suat nghien ctiu d im dong va nhor no de hieu ve m lu, cdn thong ke th i ngifcrc lai Nghla la thong ke nghien ctiu m lu va nhcr no m i ta hieu ve d im dong Vi D u l Gia sti d im dong l i mot binh difng mifcri vien bi, co vien nang lOgr, vien nang 20gr, vien n in g 30gr Goi X l i BNN d ie trung cho liforng (x6t ve liforng) th i X c6 luat phan pho'i: 200 Chitong 5: Lv thuvet m au i lOgr 20gr 30gr *u 0.3 0.5 0.2 Goi Xi lli tro n g lugng vien bi dtfcrc lay l i n thuf n h a t, th i Xi\ co luat p h an p 16 'i: Xi lOgr gr 30gr P(Xi) 0.3 0.5 Tufc Xi co cung p h an pho'i vdri X Tiep tuc goi X2 la tro n g liicfng vien bi dugc lay r a la n thuf hai, X lOgr 20gr 30gr 0.3 0.5 0.2 P(X2) Tufc X2 co cung p h an pho'i vofi X Tiep tuc cho d en la n thuf n Tom lai (Xi,X , ,Xn) 1& n BNN doc l&p co cung p M n ph 'i vdi BNN X Bay gicf ta tid'n h&nh quan s£ t sau: (xi,x ,x3 ,x4 ,x5 ), m lu cu th e cua la n quan s&t ch&ng h a n la: X i=xi=10gr, X =X2 = gr, X3 =x =2 gr, X4=X4=30gr, X,5 =x =20gr, vay (xi,x ,x3 ,x4 ,x5) =(10gr,10gr,20gr,30gr,20gr) VI D u2 Gia suf dam dong can n ghien cufu ti le phe p h am cua m ot loai san pham Goi X 1& BNN dac tru n g cho dau hieu phe pham (x et ve chat) cua dam dong T a co b&ng p h an phoi xac s u it sau: X P -p p Vk de tim p, ta lap m au td n g qu£t vdi kich thudc , chang h a n ta dugc: • X i = , X =0 , X3 =0 , X4 = , th i m lu cu th e 111 (1,0,0, ) • X i = , X =1, X3 =1, X4 =0 , th i m lu cu th d 1& (0,1,1,0) 1.3 S dp x e p so li£ u thtfc nghi^ m SSp x e p th e o c a c g ia tr i kVinr 201 Chifdng 5: Lv thuvet m lu Gid stf m lu cu th e (xi,x2, ,xn), c6 (xi< x2,< gid tri, x2 co n2 gid tri, xk co n t gid tri, tan so' ni vdi: I (*,• - a )2 = n var (X ) = n a V/=i J=M ,=" / — \2 =E £ L ( * ; - * )‘ = nE\ S ‘ i=l n 1=1 ( a - - A )2] = v a r ( * ) = ^ - The ba bieu thufc n ay vao (*), ta co: no2 =h e { S2l +n— =>ffs12^ —-< k etq u a /i /i dpcm s fi- Kv v o n e c u a phtfcfng s a i m au co h ie u ch in h: 206 Chifdng 5: Lv thuvet m au (khong chech) Suf dung cong thufc n&y, k h i ta x et Udc liftfng k h ong chech T h a t vay: I S = —— y ( X : - X )2 = —— S , lay ky vong hai ve, ta co: « -!/= / n- n f -2 n n-1 -.5* E\ S £ ( S 2)= n-1 n- n n-1 2.3.7 P h ifd n g s a i c u a phifcfng s a i m au: Var r ? l - J ** Ta chap n h a n cong thufc III P h a n p h o i c u a c a c d a c trifn g m a u Difa vao Ky vong va phifong sai cac dac trifng m lu or ph an tr e n vifa tin h , va difa vao d inh ly gidi h a n tru n g ta m or chifong 3, ta co th e suy p h an phoi cua cac dac tn fn g m lu co tin h p h an phoi g an chuan nhif sau: 3.1 P h a n p h o i c u a t i le m l u F n Vdi n k h a lota th i Fn e N Pi pq] \ n H ay F „ = q ^ = ^ i iV(0, l) \P± n 3.2 P h a n p h o i c u a tr u n g b in h m lu Ta phan biet tnfdng hdp sau: TrUdng hop a,b dudi day, Xi khong can la p h an phoi nhimr 207 Chtfdng 5: Lv thuvet mau b/ Vdi n > 30, khd ldn, vk a2 chua £2 bi§t th i Xn £ N A — n _ z Vi var(A „) = — , v& [l7'n - i l s ' S ' 1] = ' - « - Vf Du: Cho n = 9, or = 0,05 1^9-11> / 0,05 = cc = 0,05 /q9-1 (35 —2,306 3.3 P h a n p h o i c u a phtftfng sa i m lu Gia sft d£m dong X e TV(//,cr2), TS Nguvln Phn Vinh lap trinh so" cac bang PPXS 90 1.291 1.662 *9 8 |2.205 2.368 100 1.290 1.660 1.984 2.080 |2 |3 | 2.201 2.631 301 3.401| 120 1.288 1.657 1.979 |2 |2 |2 |3.37 | 400 1.283 1.648 1.965 2.060 7 |2 3 |2 8 |3 | BANG D: o=0.005-»0.400 BANG XS CHI BINH PHl/CfNG (%2) rrong bang cho gia tri x l ( a ) cho: Xl (#) P(zl - X k (a )) = a , k la bac tu do.VD: P {z\s 010 0.025 0.050 100 0.250 O O ** O 0.000 0.010 0.000 0.020 001 0.016 0.275 0.211 0.072 0.207 0.412 0.676 0.989 1.344 1.735 2.156 2.603 3.074 3.565 4.075 4.601 5.142 5.697 6.265 6.844 7.434 8.034 8.643 9.260 9.886 10.520 11.160 11.808 12.461 13.121 13.787 0.115 0.297 0.554 0.872 1.239 1.646 2.088 2.558 3.053 3.571 4.107 4.660 5.229 812 6.408 7.015 633 8.260 8.897 9.542 10.196 10.856 11.524 12.198 12.879 13.565 14.256 14.953 0.004 0.103 0.352 0.711 1.145 635 167 2.733 325 3.940 4.575 5.226 5.892 6.571 7.261 962 672 9.390 10.117 10.851 11.591 12.338 13.091 13.848 14.611 15.379 16.151 16.928 17.708 18.493 0.575 1.213 1.923 2.675 455 4.255 5.071 5.899 6.737 7.584 438 9.299 10.165 11.037 11.912 12.792 13 14.562 15.452 16.344 17.240 18.137 19.037 19.939 20.843 21.749 22.657 23.567 24.478 10 11 12 13 14 15 16 17 18 19 - (0.1) = 8.547) = 0.1 0.005 |k \0 ^ ^ 20 21 22 23 24 25 26 27 28 29 30 k\q | 0.0 0.0101 0.051 0.216 0.484 0.831 1.237 1.690 2.180 2.700 3.247 3.816 4.404 5.009 5.629 6.262 6.908 7.564 8.231 907 9.591 10.283 10.982 11.689 12.401 13.120 13.844 14.573 15.308 16.047 16.791 0•0251 0.050| 0.584 1.064 1.610 2.204 2.833 3.490 4.168 4.865 5.578 6.304 7.042 7.790 8.547 9.312 10.085 10.865 11.651 12.443 13.240 14.041 14.848 15.659 16.473 17.292 18.114 18.939 19.768 20.599 0.100| 0.250| 1.022 1.869 2.753| 3.6551 4.570| 5.493 j 6.423 I 7.357 | 8.295; 9.237 j 10.182 11.129 12.078 13.030 ! 13.983 14 937 j 15.893 | 16.850| 17.809 18.768 j 19.729 20.690 21.652 22.616 23.579 24.544 25.509 i 26.475 27.442 ! j | !; n 0.40q71 302 35 40 45 50 55 60 65 70 TS Nguvln Phu Vinh lap trinh so cic bane FPXjL 17.192 20.707 24.311 27.991 31.735 35.534 39.383 43.275 18.509 22.164 25.901 29.707 33.570 37.485 41.444 45.442 20.569 24.433 28.366 32.357 36.398 40.482 44.603 48.758 22.465 26.509 30.612 34.764 38.958 43.188 47.450 51.739 29.054 33.660 38.291 42.942 47.610 52.294 56.990 61.698 24.797 29.051 33.350 37.689 42.060 46.459 50.883 55.329 82 Ft 37.134 41.995 46.8641 51.739 [ 56.620 61.506| 66.396| A 75 80 85 k\ ° 90 95 100 105 110 115 120 125 130 135 140 145 150 155 160 165 170 175 180 | k\a 200 250 300 350 400 50 500 550 600 650 700 750 800 850 47.206 51.172 55.170 0.005| 59.196 63.250 67.328 71.428 75.550 79.692 83.852 88.029 92.222 96.431 100.655 104.892 109.142 113.405 117.679 121.965 126.261 130.568 134.884 0.005 152.241 196.161 240.663 285.608 330.903 376.483 422.303 468.328 514.529 560.885 607.380 653.997 700.725 747.554 49.475 53.540 57.634 0.010| 61.754 65.898 70.065 74.252 78.458 82.682 86.923 91.180 95.451 99.736 104.034 108.345 112.668 117.001 121.346 125.700 130.064 134.438 138.820 0.010| 156.432 200.939 245.972 291.406 337.155 383.163 429.388 475.796 522.365 569.074 615.907 662.852 709.897 757.033 52.942 57.153 61.389 56.054 60.391 64.749 59.795 64.278 68.777 66.417 71.145 75.881 0.025 0.050 0.100 0.250 Q 65.647 69.925 74.222 78.536 82.867 87.213 91.573 95.946 100.331 104.729 109.137 113.556 117.985 122.423 126.870 131.326 135.790 140.262 144.741 69.126 73.520 77.929 82.354 86.792 91.242 95.705 100.178 104.662 109.156 113.659 118.171 122.692 127.220 131.756 136.299 140.849 145.406 149.969 73.291 77.818 82.358 86.909 91.471 96.043 100.624 105.213 109.811 114.417 119.029 123.649 128.275 132.907 137.546 142.190 146.839 151.493 156.153 80.625 85.376 90.133 94.897 99.666 104.440 109.220 114.004 118.792 123.584 128.380 133.180 137.983 142.789 147.599 152.411 157.227 162.045 166.865 85.99 90.899 95.808 100.719 105.63 110.547 115.465 120.383 125.304 130.226 135.149 140.07 145.00 149.927 154.856 159.785 164.716 169.647 174.580 0.025 0.050 0.250 0.400 162.728 208.098 253.912 300.064 346.482 393.118 439.936 486.910 534.019 581.245 628.577 676.003 723.513 771.099 168.279 214.392 260.878 307.648 354.641 401.817 449.147 496.607 544.180 591.853 639.613 687.452 735.362 783.337 186.172 234.577 283.135 331.8K 380.57V 429.418 478.323 527.281 576.286 625.331 674.413 723.526 772.669 821.839 194.319 243.720 293.179 342.681 392.217 441.782 491.371 540.980 590.606 640.247 68 739.569 / 47 “ 935 O l OOj 174.835 221.806 269.068 316.550 364.207 412.007 459.926 507.947 556.056 604.242 652.497 700.814 749.185 797.607 It 71 2901 76.188|a ff [ : - [ \ ■ ’ TS Nguvln Phj Vinh lap trinh so" cac bang PPXS 900 804.252 88 61 68 47 75 76 41.480 sso 1000 8 9849 68 394132 99 61 42 20 59 72 1050 71 1100 1 90 94 31 38 83 24 11 00 05 97 99 71 82 11501 03 2 303 831.370 846.075 871.032 888.632 879.457 894.584 920.248 938.338 927.594 943.133 988.051 969.484 975.777 991.717 1018.738 1037.771 0 3 1 08 | 2 88.983 1 0 1137.2301 BANG D T IE P : a=0.5-»0.995 0s\O | H k I 14 h- |\a I ~ 10 11 I 12 13 - 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 \a 35 40 45 50 55 0.500 | 0.455 1.386 2.366 3.357 4.351 5.348 6.346 7.344 0.500| 8.343 9.342 10.341 11.340 12.340 13.339 14.339 15.338 16.338 17.338 18.338 19.337 20.337 21.337 22.337 23.337 24.337 25.336 26.336 27.336 28.336 29.336 0.500 34.336 39.335 44.335 49.335 54.335 0.750 | 1.323 2.773 4.108 5.385 6.626 7.841 9.037 10.219 0.750 | 900 | 2.706 4.605 6.251 779 9.236 645 12.017 13.362 900 | 0.950 | 841 5.991 7.815 9.488 11.070 12.592 14.067 15.507 0.950| 0.975 | 5.024 7.378 9.348 11.143 12.833 14.449 16.013 17.535 0.975| 0.990 | 635 9.210 11.345 13.277 15.086 16.812 18.475 20.090 0.990| 95 | | 7.879| 10.597 12.838 | 14.860 j 16.750| 18.548 | 20.278| 21.955| 995 | | 14.684 15.987 17.275 18.549 19.812 21.064 22.307 23.542 24.769 25.989 27.204 28.412 29.615 30.813 32.007 33.196 34.382 35.563 36.741 37.916 39.087 40.256 16.919 18.307 19.675 21.026 22.362 23.685 24.996 26.296 27.587 28.869 30.144 31.410 32.671 33.924 35.172 36.415 37.652 38.885 40.113 41.337 42.557 43 7 19.023 20.483 21.920 23.337 24.736 26.119 27.488 28.845 30.191 31.526 32.852 34.170 35.479 36.781 38.076 39.364 40.646 41.923 43.195 44.461 45.722 46.979 21.666 23.209 24.725 26.217 27.688 29.141 30.578 32.000 33.409 34.805 36.191 37.566 38.932 40.289 41.638 42.980 44.314 45.642 46.963 48.278 49.588 50.892 23.589| 25.188 j 26.757| 28.300| 29 819 j 31.319| 32.801| 34.267 | 35.718| 37.156| 38.582 | 39.997 | 41.401| 42.796 | 44.181| 45.559 46.928| 48.290 49.645| 50.993 j 52.336| 53.6721 0.750 | 900 950 0.975 0.990 0.995| 40.223 I 45.616| 50.985| 56.334 j 61.665| 46.059 51.805 57.505 63.167 68.796 49.802 55.758 61.656 67.505 73.311 53.203 59.342 65.410 71.420 77.380 57.342 63.691 69.957 76.154 82.292 11.389 12.549 13.701 14.845 15.984 17.117 18.245 19.369 20.489 21.605 22.718 23.828 24.935 26.039 27.141 28.241 29.339 30.435 31.528 32.620 33.711 34.800 60.275 66.766 73.166 79.490 85.749 ] 304 TS Nguyen Phu Vinh lap trinh so cac bang PPXS 60 65 70 75 80 85 90 95 100 105 110 115 59.335 64.335 69.334 74.334 79.334 84.334 89.334 94.334 99.334 104.334 109.334 114.334 66.981 72.285 77.577 82.858 88.130 93.394 98.650 103.899 109.141 114.378 119.608 124.834 119.334 124.334 129.334 134.334 139.334 144.334 149.334 154.334 159.334 164.334 169.334 174.334 179.334 130.055 135.271 140.482 145.690 150.894 156.094 161.291 166.485 171.675 176.863 182.047 187.229 192.409 74.397 79.973 85.527 91.061 96.578 102.079 107.565 113.038 118.498 123.947 129.385 134.813 79.082 84.821 90.531 96.217 101.879 107.522 113.145 118.752 124.342 129.918 135.480 141.030 83.298 89.177 95.023 100.839 106.629 112.393 118.136 123.858 129.561 135.247 140.917 146.571 88.379 94.422 100.425 106.393 112.329 118.236 124.116 129.973 135.807 141.620 147.414 153.191 91.952 98.105 104.215 110.286 116.321 122.325 128.299 134.247 140.169 ■r151.948 157.808 158.950 164.694 170.423 176.138 181.840 187.530 193.208 198.874 204.530 210.176 215.812 221.438 227.056 163.648 169.471 175.278 181.070 186.847 192.610 198.360 204.098 209.824 215.539 221.242 226.936 -V BANG D T IE P : a=0.5->0.995 120 125 130 135 140 145 150 155 160 165 170 175 180 | k\a | 200 199.334 249.334 299.334 349.334 399.334 449.334 49^.333 549.333 599.333 649.333 250 300 350 400 450 500 550 600 650 |k \a 00 750 800 850 900 950 1000 10 50 1 00 15 0 00 | | 0.750 140.233 145.643 151.045 156.440 161.827 167.207 172.581 177.949 183.311 188.667 194.017 199.363 204.704 900 | 146.567 152.094 157.610 163.116 168.613 174.101 179.581 185.052 190.516 195.973 201.423 206.867 212.304 950 | 152.211 157.839 163.453 169.056 174.648 180.229 185.800 191.362 196.915 202.459 207.995 213.524 219.044 975 | 0.990| 213.102 264.697 316.138 367.464 418.697 469.855 520.950 571.992 622.988 673.942 226.021 279.050 331.789 384.306 436.649 488.849 540.930 592.909 644.800 696.614 233.994 287.882 341.395 394.626 447.632 500.456 553.127 605.667 658.094 710.421 241.058 295.689 349.874 403.723 457.305 510.670 563.852 616.878 669.769 722.542 249.445 304.940 359.906 414.474 468.724 522.717 576.493 630.084 683.516 736.807 0.750 0.900 0.950 0.975 0.990 699.333 724.861 748.359 749.333 775.747 800.043 799.333 826.604 851.671 849.333 877.435 903.249 899.333 928.241 954.782 949.333 979.026 1006.272 999 333 10 57 1049.333 1080.535 1109.140 1099.333 1131.263 1160.522 1149.333 1181.974 1211.873 762.661 814.822 866.911 918.937 970.904 1022.816 1074.679 1126.496 1178.271 1230.005 775.211 827.785 880.275 932.689 985.032 1037.311 1089.531 1141.696 1193.810 1245.876 789.974 843.029 895.984 948.848 1001.630 1054.334 1106.969 1159.538 1212.047 1264.500 0.500 | 9 | ti 255.264 V 311.346 6 4 f, 421.900 J 476.606 531.026 585.207 639.183 ' 692.982 746.625 ■ — 0.995 800.131 853.514 906.786 959.957 1013.036 1066.031 1118.948 1171.793 1224.571 1277 28 ■ — — L r* - TS Nguyen Phu Vinh lap trinh so cac bang PPXS 305 Ham x i n —>°° se tien ve phan phoi chuan nhif hinh ve 0.2 □ 15 0.1 0 □ BANG E ( a =0.1), v, = 1,10 v2 = 1,600 BANG XAC SUAT FISHER-I Trong bang cho gia tri f a cho: P [^vi,v2 ~ f a ] ~ a » =0*D vi la so" bac tif theo true hoanh tang tti trai sang phai v2 la so" bac ti/ tang tti tren xuong difdi VD: P [ F ^ > 3.05) = 0.1 v z \ v i~» 10 60.19 39.86 49.50 53.59 55.83 57.24 58.20 8.53 9.00 9.16 9.24 9.29 9.33 58.91 9.35 59.44 9.37 59.86 9.38 9.39 5.46 5.39 5.34 5.31 5.28 5.27 5.25 5.24 5.23 5.54 4.54 4.32 4.19 4.11 4.05 4.01 3.98 3.95 3.94 3.92 4.06 3.78 3.62 3.52 3.45 3.40 3.37 3.34 3.32 3.30 3.78 3.46 3.29 3.18 3.11 3.05 3.01 2.98 2.96 2.94 3.59 3.26 3.07 2.96 2.88 2.83 2.78 2.75 2.72 2.70 3.46 3.11 2.92 2.81 73 2.67 2.59 2.56 2.54 3.36 3.01 2.81 2.69 2.61 2.55 2.62 2.51 2.47 2.44 2.42 10 3.29 2.92 2.73 2.61 2.52 2.46 2.41 2.38 2.35 2.32 11 3.23 2.86 2.66 2.54 45 2.39 34 2.30 2.27 2.25 | 12 3.18 2.81 2.61 2.48 2.39 2.33 2.28 2.24 2.21 2.19 | 13 3.14 2.76 2.56 2.43 2.35 2.28 2.23 2.20 2.16 2.14 | 14 3.10 2.73 2.52 2.39 2.31 24 2.19 2.15 2.12 2.10 15 3.07 2.70 2.49 2.27 2.21 2.16 2.12 2.09 16 05 2.67 46 2.36 2.33 24 2.18 2.13 2.09 2.06 03 V2\ Vj 06 17 03 2.64 2.44 2.31 2.22 2.15 2.10 2.06 2.03 2.00 18 3.01 2.62 2.42 2.29 2.20 2.13 2.08 2.04 2.00 1.98 19 2.99 2.61 2.40 2.27 2.18 2.11 2.06 2.02 1.98 1.96 ! 306 TS Nguvln Phu Vinh lap trinh so cac bang PPXS 20 21 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 120 600 2.97 2.96 2.95 2.94 2.93 2.92 2.91 2.90 2.89 2.89 2.88 2.84 2.81 2.79 2.78 77 2.76 2.76 2.75 2.71 2.59 2.57 2.56 2.55 2.54 2.53 2.52 2.51 2.50 2.50 2.49 2.44 2.41 2.39 2.38 2.37 2.36 2.36 2.35 2.31 2.38 2.36 2.35 2.34 2.33 2.32 2.31 2.30 2.29 2.28 2.28 2.23 2.20 2.18 2.16 2.15 2.15 2.14 2.13 2.09 2.25 2.23 2.22 2.21 2.19 2.18 2.17 2.17 2.16 2.15 2.14 2.09 2.06 2.04 2.03 2.02 2.01 00 1.99 1.95 2.16 2.14 2.13 2.11 2.10 2.09 2.08 2.07 2.06 2.06 2.05 00 1.97 1.95 1.93 1.92 1.91 1.91 1.90 1.86 2.09 2.08 2.06 2.05 2.04 2.02 2.01 00 00 1.99 1.98 1.93 1.90 1.87 1.86 1.85 1.84 1.83 1.82 1.78 2.04 00 2.02 2.01 1.98 1.97 1.95 1.94 1.93 1.92 1.91 1.90 1.89 1.99 1.98 1.97 1.96 1.95 1.94 1.93 1.93 1.87 1.84 1.82 1.80 1.79 1.78 1.78 1.77 1.73 1.88 1.83 1.80 1.77 1.76 1.75 1.74 1.73 1.72 1.68 1.96 1.95 1.93 1.92 1.91 1.89 1.94 1.92 1.90 1.89 1.88 1.86 1.87 1.87 1.85 1.84 1.83 1.82 1.76 1.73 1.71 1.69 1.86 1.85 1.79 1.76 1.74 1.72 1.71 1.70 1.69 1.68 1.64 _ _ 1.88 1.87 1.68 1.67 66* 1.65 1.61 BANG E TIEP(a =0.05), vx = 1,10 v2 = 1,600 | *V2\ V l —> 161.4 199.5 18.51 19.00 i 10.13 71 6.61 5.99 5.59 i 5.32 | 5.12 | 4.96 4.84 IX j 12 | | 4.67 | 4.60 | 4.54 16 | 17 | 18 | 191 20 | 21 | 9.55 6.94 5.79 5.14 4.74 4.46 4.26 4.10 3.98 3.89 81 3.74 3.68 63 3.59 55 3.52 3.49 3.47 _ 1- 10 215.7 224.5 230.1 233.9 236.7 238.8 40.5 241.8 19.16 19.25 19.30 19.33 19.35 19.37 19.38 19.40 8.79 9.28 9.12 9.01 8.94 8.89 8.85 8.81 6.26 6.09 6.04 00 6.59 6.39 6.16 4.77 4.74 5.41 5.19 5.05 4.95 4.88 4.82 4.10 4.06 4.76 4.53 4.39 4.23 4.21 4.15 3.68 3.64 4.35 4.12 3.97 3.87 3.79 3.73 3.35 4.07 3.84 3.58 3.50 3.44 3.39 3.69 3.14 j 3.63 3.48 3.37 3.23 3.18 3.86 3.29 3.71 3.07 3.02 | 3.48 3.33 3.22 3.14 j 85 j 3.59 3.36 3.20 3.09 3.01 2.95 2.85 1 3.00 2.91 | 2.75; 3.49 3.26 2.83 2.77 3.03 92 3.41 ; 18 i 2.67! 2.76 2.70 2.85 2.96 65{ | 34 3.11 2.71 2.64 2.79 2.59! | 2.90 3.29 3.06 66 2.74 2.85 54 j j 3.01 3.24 2.61 2.55 2.70 2.81 2.49 2.45, 3.20 2.96 51 6 46 i 1 7 16 93 2.54 2.48 2.63 42 j ; 90 2.74 3.13 2.51 2.60 2.45 2.71 39 j { 3.10 2.87 2.49 42 2.68 2.37[ | 2.84 07 t - JLi i > -4 TS Nguven Phu Vinh lap trinh so cic bang PPXS 22 23 24 25 26 27 28 29 30 40 50 60 70 80 90 100 120 600 4.30 4.28 4.26 4.24 4.23 4.21 4.20 4.18 4.17 4.08 4.03 4.00 3.98 3.96 3.95 3.94 3.92 3.86 3.44 3.42 3.40 3.39 3.37 3.35 3.34 3.33 3.32 3.23 3.18 3.15 3.13 3.11 3.10 3.09 3.07 3.01 3.05 3.03 3.01 2.99 2.98 2.96 2.95 2.93 2.92 2.84 2.79 2.76 2.74 2.72 2.71 2.70 2.68 2.62 2.82 2.80 2.78 2.76 2.74 2.73 2.71 2.70 2.69 2.61 2.56 2.53 2.50 2.49 2.47 2.46 2.45 2.39 2.66 2.64 2.62 2.60 2.59 2.57 2.56 2.55 2.53 2.45 2.40 2.37 2.35 2.33 2.32 2.31 2.29 2.23 2.55 2.53 2.51 2.49 2.47 2.46 2.45 2.43 2.42 2.34 2.29 2.25 2.23 2.21 2.20 2.19 2.18 2.11 2.46 2.44 2.42 2.40 2.39 2.37 2.36 2.35 2.33 2.25 2.20 2.17 2.14 2.13 2.40 2.37 2.36 2.34 2.32 2.31 2.29 2.28 2.27 2.18 2.13 2.34 2.32 2.30 2.28 2.27 2.25 2.24 2.22 2.21 2.12 2.07 2.04 2.10 2.11 2.10 2.07 2.06 2.04 2.03 2.09 2 2.02 1.95 BANG E T IE P (a =0.025), v, = 1,10 v2 2.02 00 1.99 1.97 1.96 1.90 = 2.30 2.27 2.25 2.24 2.22 2.20 2.19 2.18 2.16 2.08 2.03 1.99 1.97 1.95 1.94 1.93 1.91 1.85 1,60(1 V2\ V ! - > 4- 10 647 7 9 9 0 9 39.33- 9 9 4 16.04 15.44 15.10 14.88 14.73 14.62 14.54 14.47 14.42 8.98 9.20 9.07 8.90 8.84 9.98 9.60 9.36 12.22 10.65 6.85 6.76 68 7.15 6.98 7.76 7.39 8.43 10.01 5.60 5.52 5.82 5.70 5.46 6.60 6.23 5.99 7.26 8.81 4.90 4.99 4.82 5.12 4.76 5.29 5.52 6.54 5.89 8.07 4.53 4.43 4.36 4.30 4.82 4.65 5.05 5.42 6.06 7.57 3.96 5.71 7.21 3.72 4 6.94 10 3.66 3.76 3.59 3.88 3.53 4.04 4.28 4.63 5.26 6.72 H 3.51 3.44 3.61 3.37 3.73 3.89 4.12 4.47 5.10 6.55 12 3.48 3.39 3.31 3.60 3.25 3.77 4.00 4.35 4.97 6.41 13 3.38 3.29 3.21 3.50 3.15 3.66 3.89 4.24 4.86 6.30 14 3.29 3.20 3.41 3.12 3.06 3.58 3.80 4.77 4.15 20 15 3.22 3.12 3.34 3.05 2.99 3.50 3.73 4.08 4.69 6.12 16 4 92 6 4.62 4.01 6.04 17 2 3 87 5 98 18 8 3 82 19 3 77 20 73 21 3.05 2.93 3.22 2.84 2.76 2.70 3.44 4.38 3.78 22 3.02 2.90 3.18 2.81 2.73 3.41 2.67 4.35 3.75 5.75 23 9 2.87 2.78 2.70 3.38 2.64 4.32 3.72 5.72 24 2.97 3.13 2.85 2.75 3.35 2.68 4.29 2.61 3.69 5.69 25 3 2.65 2.59 5.66 26 l 307 308 TS Nguyen Phu Vinh lap trinh so cac bang PPXS 2.80 2.71 2.63 2.57 2.78 2.69 2.76 2.67 2.65 2.61 2.59 2.57 2.55 2.53 2.53 2.45 2.39 2.46 2.41 2.38 2.32 2.51 2.27 2.47 2.38 2.33 2.30 2.45 2.35 2.28 2.21 2.43 2.34 2.26 2.19 2.42 2.32 2.24 2.18 2.39 2.31 2.30 2.21 2.22 2.16 2.13 2.07 27 5.63 4.24 3.65 3.31 3.08 28 29 30 5.61 5.59 5.57 4.22 4.20 3.63 3.61 3.29 3.27 40 5.42 4.18 4.05 3.59 3.46 3.25 3.13 3.06 3.04 3.03 2.92 2.90 2.88 2.87 2.90 2.74 50 5.34 3.97 3.39 3.05 2.83 2.67 2.62 2.55 60 5.29 3.93 3.34 5.25 3.89 3.31 2.79 2.75 2.63 70 3.01 2.97 2.59 80 5.22 3.86 3.28 2.95 2.73 2.57 90 5.20 3.84 3.26 2.93 2.71 100 5.18 3.83 3.25 2.92 2.70 2.55 2.54 120 5.15 3.80 3.23 2.67 2.52 600 5.05 3.71 3.14 2.89 2.81 2.59 2.43 2.75 2.51 2.24 o a- o.eo.-an 2- o BANG E TIEP(a =0.010), vx = M v2 = 1,600 V2\V!-> i 1 4052 4999 5403 5624 5763 5858 5928 5981 6022 10 6055 98.50 99.00 99.17 99.25 99.30 99.33 99.36 99.37 99.39 99.40 34.12 30.82 29.46 28.71 28.24 27.91 27.67 27.49 27.35 27.23 21.20 18.00 16.69 15.98 15.52 15.21 14.98 14.80 14.66 14.55 16.26 13.27 12.06 11.39 10.97 10.67 10.46 10.29 10.16 10.05 13.75 10.92 9.78 9.15 8.75 8.47 8.26 8.10 7.98 7.87 12.25 9.55 8.45 7.85 7.46 7.19 6.99 6.84 72 6.62 11.26 8.65 7.59 7.01 6.63 6.37 6.18 6.03 5.91 5.81 10.56 8.02 6.99 6.42 6.06 5.80 5.61 5.47 5.35 5.26 10 10.04 7.56 6.55 5.99 5.64 5.39 5.20 5.06 4.94 4.85 11 9.65 7.21 6.22 5.67 5.32 5.07 4.89 4.74 4.63 4.54 12 9.33 6.93 5.95 5.41 5.06 4.82 4.64 4.50 4.39 4.30 13 9.07 6.70 5.74 5.21 4.86 4.62 4.44 4.30 4.19 4.10 14 8.86 6.51 5.56 5.04 4.69 4.46 4.28 4.03 3.94 15 8.68 6.36 5.42 4.89 4.56 4.32 4.14 4.14 4.00 3.89 3.80 16 8.53 6.23 5.29 4.77 4.44 4.20 3.89 3.78 3.69 17 8.40 6.11 5.18 4.34 4.10 8.29 6.01 5.09 4.25 3.84 3.60 3.59 3.51 19 20 8.18 5.01 4.94 3.77 3.63 3.52 3.43 8.02 95 4.87 4.50 4.43 4.37 4.17 21 5.93 5.85 5.78 4.10 4.04 4.01 3.94 3.87 3.79 3.71 3.68 18 4.67 4.58 4.03 3.93 3.70 3.64 56 3.51 3.46 40 3.37 3.31 5.72 82 4.31 3.99 3.59 3.45 3.35 3.26 22 8.10 3.81 3.76 j TS Nguvln Phri Vinh 1&P trinh so cac bang PPXS 25 26 27 7.88 7.82 7.77 4.76 5.61 * 4.72 4.68 5.57 7.72 7.68 4.64 4.60 28 29 30 23 24 4.26 5.66 5.53 7.64 5.49 5.45 4.57 7.60 7.56 5.42 5.3i9 4.54 4.51 4.31 4.20 40 7.31 5.18 50 7.17 7.08 5.06 3.71 3.54 3.41 3.30 3.21 3.67 3.50 3.36 3.26 3.17 4.18 3.85 3.63 3.46 3.32 3.22 3.13 4.14 4.11 4.07 3.82 3.78 3.59 3.56 3.42 3.29 3.18 3.09 3.39 3.26 3.15 3.06 3.75 3.53 3.36 3.23 3.12 4.04 3.73 3.50 3.33 3.20 3.09 3.03 00 4.02 3.70 3.47 3.30 3.17 3.07 2.98 3.83 3.51 3.29 3.12 2.99 2.89 2.80 3.72 3.41 3.19 3.02 2.89 2.78 2.70 3.65 3.34 3.12 2.95 2.82 2.72 2.67 2.63 2.59 70 7.01 4.92 4.13 4.07 3.60 3.29 3.07 2.91 2.78 80 4.88 4.04 3.56 3.26 3.04 2.87 2.74 2.64 2.55 90 6.96 6.93 4.85 4.01 3.53 3.23 3.01 2.84 2.72 2.61 2.52 60 4.98 4.22 3.94 3.90 309 100 6.90 4.82 3.98 3.51 3.21 2.99 2.82 2.69 2.59 2.50 120 6.85 4.79 3.95 3.48 3.17 2.96 2.79 2.66 2.56 2.47 600 6.68 4.64 3.81 3.35 3.05 2.83 2.67 2.54 2.44 2.35 BANG E TIEP(a =0.1), vx = 11,600 v2 = 1,600 v2\v ,-> i 11 12 60.47 60.71 9.40 9.41 5.22 5.22 3.91 3.90 3.28 3.27 2.92 20 24 30 40 60 120 600 61.74 62.00 62 62.53 62.79 63.06 63.27 9.42 9.44 9.45 9.46 9.47 9.47 9.48 9.49 5.20 5.18 5.18 5.17 5.16 5.15 5.14 5.14 3.87 3.84 3.83 3.82 3.80 3.79 3.78 3.76 3.24 3.21 3.19 3.17 3.16 3.14 3.12 3.11 2.90 2.87 2.84 2.82 2.80 2.78 2.74 2.73 2.68 2.67 2.63 2.59 2.58 2.56 2.54 2.76 2.51 2.49 2.48 2.52 2.50 2.46 2.42 2.40 2.38 2.36 2.34 2.32 2.30 2.40 2.38 2.34 2.30 2.28 2.25 2.23 2.21 2.18 2.16 10 2.30 2.28 2.24 2.20 2.18 2.16 2.13 2.11 2.08 2.06 11 2.23 2.21 2.17 2.12 2.10 2.05 2.03 2.17 2.15 2.10 2.06 2.04 1.99 1.96 2.00 1.93 1.98 12 2.08 2.01 13 2.12 2.10 2.05 2.01 1.98 1.96 93 1.90 1.88 1.85 14 2.07 2.05 2.01 1.96 1.94 1.91 1.89 1.86 1.83 1.80 15 2.04 2.02 1.97 1.92 1.90 1.87 1.85 1.82 1.79 1.76 16 17 2.01 1.99 1.94 1.89 87 1.84 1.81 1.78 1.72 1.98 91 86 1.84 1.75 1.95 1.89 1.84 1.81 1.81 1.78 1.78 18 1.96 1.93 1.75 1.72 1.75 1.72 1.69 1.66 19 1.93 1.91 1.86 1.81 1.79 1.73 1.70 1.67 1.64 20 1.91 1.89 1.84 1.79 1.77 1.76 1.74 1.71 1.68 1.64 1.61 21 22 1.90 1.87 1.86 83 1.78 1.75 1.69 1.66 1.62 1.59 1.81 1.76 1.73 1.72 1.70 1.67 1.64 1.60 1.57 1.84 1.80 1.74 1.72 1.69 1.66 1.62 1.59 1.56 1.85 1.83 1.78 1.73 1.70 1.67 1.64 1.61 1.57 1.54 25 1.84 1.77 1.72 1.69 1.66 1.63 1.59 1.56 1.53 26 1.83 1.82 1.81 1.61 1.58 1.54 1.51 1.80 1.71 1.70 1.65 1.82 1.67 1.64 1.60 1.57 1.53 1.50 28 1.81 1.79 1.76 1.75 1.74 1.68 27 1.69 1.66 1.63 1.59 1.56 1.52 1.49 23 24 1.88 1.87 15 61.22 1.91 1.69 310 TS Nguyen Phu Vinh lap trinh so c ic bang PPXS 29 30 1.80 1.79 1.78 1.77 40 1.74 1.71 50 1.70 1.68 1.72 1.66 1.63 60 1.68 1.66 1.60 70 1.66 1.64 1.59 1.54 1.53 80 1.65 1.63 1.57 1.51 90 1.64 1.62 1.56 100 1.64 1.61 120 600 1.63 1.58 1.60 1.56 1.73 1.68 1.67 1.61 1.65 1.64 1.51 1.50 1.48 1.42 1.39 1.42 1.38 1.34 1.44 1.40 1.35 1.30 1.42 1.40 1.37 1.32 1.28 1.36 1.31 1.26 1.39 1.35 1.29 1.38 1.34 1.28 1.24 1.23 1.37 1.32 1.26 1.21 1 1.26 1.19 1.11 1.55 1.62 1.61 1.54 1.58 1.57 1.51 1.54 1.47 1.50 1.48 1.46 1.49 1.46 1.44 1.50 1.48 1.47 1.43 1.56 1.49 1.46 1.55 1.50 1.48 1.45 1.42 1.41 1.43 1.40 1.36 1.57 1.54 1.51 1.57 1.47 • BANG E T IE P (a =0.050), vy = 11,600 v2 = 1,600 v 2\ v ,-» i 11 12 15 20 24 30 40 60 120 600 242.9 243.9 245.9 248.0 249.0 250.1 251.1 252.2 253.2 254.1 19.40 19.41 19.43 19.45 19.45 19.46 19.47 19.48 19.49 19.49 8.76 8.74 8.70 8.66 8.64 8.62 8.59 8.57 8.55 8.53 5.94 5.91 5.86 5.80 5.77 5.75 5.72 5.69 5.66 5.63 4.70 4.68 4.62 4.56 4.53 4.50 4.46 4.43 4.40 4.37 4.03 4.00 3.94 3.87 3.84 3.81 3.77 3.74 3.70 3.68 3.60 3.57 3.51 3.44 3.41 3.38 3.34 3.30 3.27 3.24 3.31 3.28 3.22 3.15 3.12 3.08 3.04 3.01 2.97 2.94 3.10 3.07 3.01 2.94 2.90 2.86 2.83 2.79 2.75 2.71 10 2.94 91 2.85 2.77 2.74 2.70 2.66 2.62 2.58 2.55 11 2.82 2.79 2.72 2.65 2.61 2.57 2.53 2.49 2.45 2.41 12 2.72 2.69 2.62 2.54 2.51 2.47 2.43 2.38 2.34 2.31 13 2.63 2.60 2.53 2.46 2.42 2.38 2.34 2.30 14 2.57 2.53 2.46 2.39 2.35 2.31 2.27 2.22 2.25 2.18 2.22 2.14 15 2.51 2.48 2.40 2.33 2.29 2.25 2.20 2.16 2.11 2.08 16 2.46 2.42 2.35 2.28 2.24 2.19 2.15 2.11 2.06 2.02 17 2.41 2.38 2.31 2.23 2.19 2.15 2.10 2.06 2.01 1.97 18 2.34 2.27 2.19 2.15 2.11 2.06 2.02 1.97 1.93 19 2.37 2.34 2.31 2.23 2.16 2.11 2.07 2.03 1.93 1.89 20 2.31 2.28 2.20 2.12 2.08 2.04 1.99 1.98 1.95 1.90 1.85 21 2.28 2.25 2.18 2.10 2.05 2.01 1.96 1.92 1.87 1.82 22 2.26 2.23 2.15 2.07 2.03 1.98 1.94 1.89 1.84 1.79 23 2.24 2.20 2.13 2.05 2.01 1.96 1.91 1.86 1.81 1.77 24 2.22 2.18 2.11 2.03 1.98 1.94 1.89 1.84 1.79 1.74 2.09 2.07 2.01 1.96 1.82 1.80 1.77 1.72 1.95 1.92 1.90 1.87 1.99 1.75 1.70 1.79 1.77 1.73 1.68 1.71 1.67 1.81 1.79 1.75 1.70 1.65 1.74 68 1.63 1.69 1.63 1.64 1.58 1.53 1.58 1.51 1.47 1.52 25 2.20 2.16 26 2.18 2.15 27 2.17 2.06 1.97 1.93 2.04 1.96 1.91 2.03 1.94 1.90 1.93 1.84 1.78 1.75 1.89 79 28 2.15 2.13 2.12 29 30 40 2.14 2.13 2.10 2.09 2.04 2.00 2.01 1.92 50 99 1.95 1.87 60 95 1.92 1.84 1.74 1.70 1.88 1.87 1.85 1.84 1.74 1.69 1.65 1.85 1.84 1.82 1.59 1.45 1.41 111 973.0 39.411 14.37 8.79 6.57 5.41 4.71 4.24 3.91 10 3.66 11 12 13 14 15 16 17 18 19 20 21 2.68 22 2.65 2.62 2.59 56 2.54 2.51 2.49 2.48 2.46 2.33 2.26 23 24 25 26 27 28 29 30 40 50 22 60 70 j 80 90 100 T20~ 2.12 2.10 12 151 20 24 976.7 984.8 993.1 997.2 39.43- 14.34 14.25 14.17 14.12 8.66 8.75 8.51 8.56 6.52 6.43 6.33 6.28 5.27 5.37 5.17 5.12 4.57 4.67 4.47 4.41 4.20 4.10 4.00 3.95 3.77 3.87 3.67 3.61 3.52 3.62 3.42 3.37 3.43 3.33 3.23 3.17 3.28 3.18 3.02 3.07 3.15 3.05 2.95 2.89 3.05 2.95 2.84 2.79 2.96 2.86 2.76 2.70 2.89 2.79 2.68 2.63 2.82 2.72 2.62 2.56 2.77 2.67 2.56 2.To 2.72 2.62 2.51 2,45 2.68 2.57 2.46 2.41 2.64 2.53 2.42 2.37 2.60 2.50 2.39 2.33 2.57 2.47 2.30 2.36 2.54 2.44 2.27 2.33 2.51 2.41 2.30 2.24 2.49 2.39 2.28 2.22 2.47 2.36 2.25 2.19 2.45 2.34 2.23 2.17 2.43 2.32 2.21 15 2.41 2.31 2.20 2.14 2.29 2.22 1.93 2.11 1.99 2.17 1.88 2.06 94 2.14 2.03 1.91 T785 2.11 2.00 1.88 1.82 1.98 1.80 1.86 2.08 2.05 1.94 82 0j 40 60 120 600 1001 0 0 1 1 39.461 9 9 J 14.08 14.04 13.99 13.95 | 8.46 | 8.41 8.36 8.31 8.27 | 6.23 I 6.18 6.12 6.07 C.03 | 5.01 4.36 4.90 4.86 4.361 4.25 4.20 4.15 3.89 3.84 3.78 3.73 3.68 56 51 3.45 3.39 3.34 3.31 3.26 3.20 3.14 3.09 3.12 3.06 3.00 2.94 2.90 2.96 2.91 2.85 2.79 2.74 2.84 2.78 2.72 2.66 2.61 2.73 2.67 2.61 2.55 2.50 2.64 2.59 2.52 2.46 2.41 2.57 2.51 2.45 2.38 2.33 2.50 2.44 2.38 2.32 2.26 I 2.44 2.38 2.32 2.26 2.20 I 2.39 2.33 2.27 2.20 2.15 I 2.35 2.29 2.22 2.16 2.10 I 2.31 25 2.18 2.11 2.061 2.27 2.21 2.14 2.08 2 24 2.18 2.11 2.04 1.981 2.21 2.15 2.08 2.01 1.951 2.18 12 2.05 98 92 16 2.09 2.03 1.95 1.89 I 13 2.07 2.00 1.93 1.87 I 2.11 2.05 1.98 1.91 1.851 2.09 2.03 1.96 1.89 1.82 2.07 2.01 1.94 1.87 1.801 1.88 1.80 1.72 1.66 I 1.87 1.80 1.72 1.64 1.57 I 1.82 1.74 1.67 1.58 1.501 1.78 1.71 1.63 - | 1.46 1.75 1.68 1.60 1.51 1.42 1.73 1.66 1.58 1.48 40 1.71 1.64 1.56 1.46 37 1.69 TTsT 1.34 311 312 600 TS Nguyen Phu Vinh lap trinh so cac bang PPXS | 1.97| _ ? •8 | | 1.66| 1.59j A/ X.S1| 1.42| - 1.30| 1-17~ - BANG E T ffiP (a =0.010), vx = 11,600 v2 =1,600 V2\ V i - > i 11 6083 12 6106 15 6157 20 6208 99.45 24 6234 30 6260 99.46 26.69 99.47 26.50 14.02 26.60 13.93 60 6313 120 600 6339 99.48 26.32 99.49 26.22 6363 99.50 13.75 9.29 13.65 13.56 13.48 9.20 9.11 9.04 7.14 5.91 7.06 5.82 6.97 5.74 6.90 5.12 4.95 4.40 4.88 40 6286 99.47 99.41 27.13 99.42 27.05 14.45 14.37 26.87 14.20 9.96 9.89 9.72 9.55 9.47 9.38 7.79 7.72 7.56 7.40 7.31 7.23 6.54 6.47 6.31 6.16 6.07 5.73 5.52 5.36 5.28 10 5.18 5.67 5.11 5.99 5.20 4.96 4.81 4.65 4.57 4.77 4.71 4.56 4.41 4.73 4.33 5.03 4.48 4.25 4.17 4.08 4.00 3.93 11 4.46 4.40 4.25 4.10 4.02 3.94 3.86 3.78 3.69 3.62 12 4.22 4.16 4.01 3.86 3.78 3.62 3.54 3.45 3.38 13 4.02 3.96 3.82 3.66 3.59 3.70 3.51 3.43 3.34 3.25 3.18 14 3.86 3.80 3.66 3.51 3.43 3.35 3.27 3.18 3.09 3.02 15 3.73 3.67 3.52 3.37 3.29 3.21 3.13 3.05 2.96 2.89 16 3.62 3.55 3.41 26 18 10 3.02 2.93 2.84 2.77 17 3.52 3.46 3.31 3.16 3.08 3.00 2.92 2.83 2.75 2.67 18 3.43 3.37 3.23 3.08 3.00 2.92 2.84 2.75 2.66 19 3.36 3.30 3.15 3.00 2.92 2.84 2.76 2.67 2.58 2.59 2.51 20 3.29 3.23 3.09 2.94 2.86 2.78 2.69 2.61 2.52 2.44 21 24 3.17 3.03 2.88 2.80 2.72 2.64 2.55 2.46 2.38 22 3.18 3.12 2.98 2.83 2.75 2.67 2.58 2.50 2.40 2.33 23 3.14 3.07 2.93 2.78 2.70 2.62 2.54 2.45 2.35 2.28 24 3.09 3.06 3.03 2.89 2.74 2.66 2.58 2.49 2.40 2.31 2.23 25 2.99 2.85 2.70 2.62 2.54 2.45 2.36 2.27 2.19 26 3.02 2.96 2.81 2.66 2.58 2.50 2.42 2.33 27 2.99 2.93 2.78 2.63 2.55 2.47 2.38 2.29 2.23 2.20 2.15 2.12 99.43 13.84 26.41 26.14 5.67 4.33 28 2.96 2.90 2.75 2.60 2.52 2.26 2.17 2.09 2.93 2.87 2.73 2.57 2.49 2.44 2.41 2.35 29 2.33 2.23 2.14 2.06 30 2.91 2.84 2.70 2.55 2.47 2.39 2.30 2.21 2.11 2.03 40 2.73 2.66 2.52 2.37 2.29 2.20 2.11 2.02 1.92 1.83 50 2.63 2.56 2.42 2.27 2.18 2.10 2.01 1.91 1.80 1.71 60 2.56 2.50 2.20 2.12 2.03 1.94 1.84 1.73 1.63 70 2.51 2.45 2.35 2.31 2.15 2.07 1.98 1.89 1.78 1.67 1.57 80 2.48 2.42 2.27 2.12 2.03 1.94 1.85 1.75 1.63 1.52 90 2.45 2.39 2.24 2.00 1.92 1.82 1.49 2.43 2.37 2.22 1.98 1.89 1.80 1.72 1.69 1.60 100 2.09 2.07 1.57 1.46 120 2.40 2.34 2.19 2.03 1.95 1.86 66 1.53 1.41 600 28 2.21 07 1.91 1.82 1.73 1.76 1.63 1.51 1.37 1.21 B A N G F (P h an pho'i chuan N (0,1)) Bang cho gia tri za cho: P{\Z\ ^ z a ) = a , V D :P (|z |> 1.589) = 0.112 TS Nguven Phu Vinh lap trinh so cac bang PPXS a 0.000 010 0.020 0.030 0.040 0.050 0.060 0.070 0.080 0.090 00 0.110 0.120 0.130 0.140 0.150 0.160 0.170 0.180 0.190 0.200 21 0.220 0.230 0.240 0.250 0.260 0.270 0.280 0.290 0.300 0.310 0.320 0.330 (X.340 0.350 0.360 0.370 0.380 0.390 0.400 0.410 0.420 43 0" 0.440 "0.450 0.460 0.470 "07480 [T T 49C 2 3.290 3.090 2.967 2.878 2.807 2.747 2.696 Inf 2.365 2.345 2.575 2.542 2.512 2.483 2.457 2.432 2.408 2.386 197 2.183 1 2 2.326 2.308 2.290 2.273 2.257 074 2.064 2.170 2.157 2.144 2.132 7 968 9 0 3 53 ' 2.043 1.888 j 1,1951 943 1 1.818 1 8 | 1.866 8 8 1.756 7 1 | 1.805 1.799 1.792 1.786 1.780 1.700 1 2 7 | 1.744 1.739 1.733 1.649 6 6 1.695| 1.690 1.684 602 1 6 1 6 4 | 1.64 1.598 j1.593 1.589 1.584 1.580 1.576 1.571 1.567 1.563 1.559 5 | 1.550 1.546 1.542 1.538 1.534 1.530 526 1.522 1.518 | 1.510 1.506 1.502 1.498 1.494 1.490 1.487 1.483 1.475) 1.472 1.468 1.464 1.461 1.457 1.453 450 4 1.443 | 1.436 1.432 1.429 1.425 1.422 1.418 1.415 1 | 1.401 1.398 1.395 391 1.388 1.385 1 378 1.346 1.343 | 1.369 1.365 1.362 1.359 1.356 1.353 1.35 | 1.337 1.334 331 1.328 1.325 1.322 319 1.316 13 1.310 j 1.307 1.304 1.298 1.295 1.293 1.290 1.287 8 | 1.278 1.275 1.273 1.270 1.267 1.264 1.261 1.259 1.256 | 1.250 1.248 1.245 1.242 1.239 1.237 1.234 231 1.229 2 | 1.223 2 | 1.218 1.216 1.213 1.210 1.208 1.205 1.202 1.177 1.200 | 1 1 1 5 1.152 1 | 1.172 1.17 3 1.128 1 | 1.147 1 1 1.105 1 1 1 1 1.126| | 1.100 1.098 1.096 1.093 1.091 1.089 1.087 1.084 082 | 1.078 075 1.073 1.071 1.069 1.066 1.064 1.062 1.060 1.058 | 1.055 1.053 1.051 1.049 1.047 1.045 1.042 1.040 1.038 1.027 1.025 1.023 1.02 1.019 1.017 1.036 | 1.034 1.032 1.03 | 1 0 0 0 0 000 9 9 9 | 9 9 0 8 i 386 0 | 0.972 0.970 0.968 0.966 0.964 0.962 0.960 0.958 0.956 | 0.952 0.950 0.948 0.946 0.944 0.942 0.940 0.938 0.936 0.934 0.932 0.930 0.928 0.926 0.924 0.923 0.921 0.919 0.917 0.915 0.913 1 0.909 0.907 0.905 0.903 0.902 0.900 0.898 0.896 0.894 0.892 0.890 0.889 0.887 0.885 0.883 0.881 0.879 7 0 868 866 0.859 0.857 0.856 0.854 0.852 0.850 0.848 0.846 0.845 0.843 0.841 0.839 0.838 0.836 0.834 0.832 0.830 0.829 0.827 0.825 0.823 0.822 0.820 0.818 0.816 0.815 0.813 0.811 0.809 0.808 0.806 0.804 0.802 0.801 0.799 0.797 0.796 0.794 0.752 0.790 0.789 787 0.785 0.784 0.782 0.780 0.778 0.777 0.775 0.773 0.772 77 0 68 0.767 0.765 0.763 0.762 0.760 58 0.757 0.75 7 0 748 7 0.74 0.74 0.74 0 7 0.733 7 0.729 0.727 7 2 0 0.717 0.715 0.71 0.712 0.711 0.707 9 696 0.688 68 -j 68 ! 0.68C 7 0.676 01 314 0.500 0.510 0.520 0.530 0.540 0.550 0.560 0.570 0.580 0.590 0.600 0.610 0.620 0.630 0.640 0.65 0.660 0.670 0.680 0.690 0.700 0.710 0.720 0.730 0.740 0.750 0.760 0.770 0.780 0.790 0.800 0.810 0.820 0.830 0.840 0.850 0.860 0.870 0.880 0.890 0.900 0.910 0.920 0.930 0.940 0.950 0.960 970 980 0.990 TS Nguvln Phu Vinh lap trinh so c&c bane PPXS 0.674 0.658 0.643 0.628 0.612 0.597 0.582 0.568 0.553 0.538 0.524 0.510 0.495 0.481 0.467 0.453 0.439 0.426 0.412 0.398 0.385 0.371 0.358 0.345 0.331 0.318 0.305 0.292 0.279 0.266 0.253 0.240 0.227 0.214 0.201 0.189 0.176 0.163 0.150 0.138 0.125 0.113 0.100 0.087 0.075 0.062 0.050 0.037 0.025 0.012 0.672 0.657 0.641 0.626 0.611 0.596 0.581 0.566 0.551 0.537 0.522 0.508 0.494 0.480 0.466 0.452 0.438 0.424 0.411 0.397 0.383 0.370 0.357 0.343 0.330 0.317 0.304 0.291 0.278 0.265 0.252 0.239 0.226 0.213 0.200 0.187 0.175 0.162 0.149 0.137 0.124 0.111 0.099 0.086 0.074 0.061 0.048 0.036 0.023 0.011 0.671 0.655 0.640 0.624 0.609 0.594 0.579 0.565 0.550 0.535 0.521 0.507 0.493 0.478 0.464 0.450 0.437 0.423 0.409 0.396 0.382 0.369 0.355 0.342 0.329 0.316 0.302 0.289 0.276 0.263 0.250 0.237 0.224 0.212 0.199 0.186 0.173 0.161 0.148 0.135 0.123 0.110 0.097 0.085 0.072 0.060 0.047 0.035 0.022 0.010 0.669 0.654 0.638 0.623 0.608 0.593 0.578 0.563 0.549 0.534 0.520 0.505 0.491 0.477 0.463 0.449 0.435 0.422 0.408 0.394 0.381 0.367 0.354 0.341 0.327 0.314 0.301 0.288 0.275 0.262 0.249 0.236 0.223 0.210 0.198 0.185 0.172 0.159 0.147 0.134 0.121 0.109 0.096 0.084 0.071 0.058 0.046 0.033 0.021 0.008 0.668 0.652 0.637 0.621 0.606 0.591 0.576 0.562 0.547 0.533 0.518 0.504 0.490 0.476 0.462 0.448 0.434 0.420 0.407 0.393 0.379 0.366 0.353 0.339 0.326 0.313 0.300 0.287 0.274 0.261 0.248 0.235 0.222 0.209 0.196 0.184 0.171 0.158 0.145 0.133 0.120 0.107 0.095 0.082 0.070 0.057 0.045 0.032 0.020 0.007 0.666 0.651 0.635 0.620 0.605 0.590 0.575 0.560 0.546 0.531 0.517 0.502 0.488 0.474 0.460 0.446 0.433 0.419 0.405 0.392 0.378 0.365 0.351 0.338 0.325 0.312 0.298 0.285 0.272 0.259 0.246 0.233 0.221 0.208 0.195 0.182 0.170 0.157 0.144 0.131 0.119 0.106 0.094 0.081 0.068 0.056 0.043 0.031 0.018 0.006 6 |0.663 0.649 j0.647 | 0.632 | 617 j 0.602 Q 8 | | 72 5 | 0.557 0.544)0.543 | 0.528 5 j0.514 | 0.500 | 485 | 471 | 0.457 4 | 0.444 | 0.430 | 416 4 | 0.402 | 0.389 7 | 75 |0.362 | 0.349 3 |0.335 3 | 0.322 | 0.309 | 29 | 0.283 | 0.270 | 0.257 | 0.244 0.232 | 0.231 | 0.218 | 05 | 0.192 0.181 0.180 0.168 0.167 0.156 0.154 0.143 0.142 0.130 0.129 0.118 0.116 0.105 0.104 0.092 0.091 0.080 0.079 0.067 066 0.055 0.053 0.042 0.0 0.030 028 0.017 016 0.005 0.003 0.661 0.646 0.631 0.615 0.600 0.585 0.571 0.556 0.541 0.527 0.512 0.498 0.484 0.470 0.456 0.442 0.428 0.415 0.401 0.388 0.374 0.361 0.347 0.334 0.321 0.308 0.294 0.281 0.268 0.255 0.243 0.230 0.217 0.204 0.191 0.178 0.166 0.153 0.140 0.128 0.115 0.102 0.090 0.077 0.065 0.052 0.040 0.027 0.015 0.002 0.660 0.644 0.629 0.614 0.599 0.584 0.569 0.554 0.540 0.525 0.511 0.497 d 0.483 0.469 0.455 0.441 0.427 0.413 0.400 0.386 0.373 0.359 0.346 0.333 0.319 0.306 0.293 0.280 0.267 0.254 0.241 0.228 0.215 0.203 0.190 0.177 0.164 0.152 0.139 0.126 , 0.114 0.101 0.089 0.076 0.063 0.051 0.038 ■ 0.026 0.013 0.001 TS Nguvln Phu Vinh lap trinh so"cac bang PPXS TAl LIEU THAM KHAO D ang H an Gido trin h XSTK DH K T.1996 Le Si Dong Giao tr in h XSTK NXBGD.2004 Tong D inh Quy Giao tr in h XSTK D H Q G H N 2003 Tong D inh Quy Giao trin h XSTK D H Q G H N 2003 N g u y ln V an Ho Giao trin h XSTK NXBGD.2004 N guyen P hu Vinh va nh ieu T ac gia Cac G iao tr in h T oan cao cap DHCN.TpHCM 2005 315