sol pp1
DESCRIPTION
Ejercicios de simulacionTRANSCRIPT
![Page 1: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/1.jpg)
ri 1 2 3 4 5 6 71 0.4925821 0.94372494 0.3051729 0.43628681 0.00895908 0.16871216 0.79452322 0.35247673 0.24976728 0.83514605 0.23129739 0.78475822 0.72744862 0.145138763 0.69312132 0.35324868 0.84158601 0.37502565 0.97386027 0.94864674 0.668392634 0.78085448 0.27341799 0.77604076 0.26104992 0.36160233 0.86890275 0.988622635 0.98323379 0.34765874 0.2936815 0.76994177 0.69530305 0.85952689 0.043700156 0.05676583 0.78864407 0.71982359 0.79105707 0.66580834 0.54208465 0.554959577 0.57761262 0.29045671 0.35582273 0.04883234 0.64665228 0.75911805 0.306328388 0.11451502 0.49490692 0.21186084 0.51933616 0.11544209 0.969968 0.294555589 0.41008794 0.29280175 0.94576876 0.29194797 0.2358918 0.82091799 0.20853548
10 0.52268832 0.23423272 0.32195821 0.39871553 0.37075716 0.07284385 0.95170433
95%5%
1.95996398n= 100
0.50852323
0.55657929 0.44342071
0.556579290.50852323 Como el valor de la media esta entre los limites se acepta el conjunto de numeros pseudoaleatorios0.44342071
𝑟 ̅=
〖𝐿𝑆〗_ ̅𝑟 = 〖𝐿〗 _ ̅𝑟 =
𝑍_(𝛼∕2)=𝛼=𝜌=
〖𝐿𝑆〗_ ̅𝑟 =〖𝐿𝐼〗 _ ̅𝑟 =𝑟 ̅=
![Page 2: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/2.jpg)
8 9 100.1036902 0.3492237 0.7594789
0.21170946 0.93822016 0.211738370.54380373 0.24059597 0.732453210.49966844 0.65636854 0.845336280.86190565 0.20991068 0.608177920.67049212 0.07680185 0.119972850.04592413 0.79599341 0.91483290.79301643 0.30854801 0.166766120.74368418 0.6236555 0.677243960.96784947 0.55847806 0.07996782
Como el valor de la media esta entre los limites se acepta el conjunto de numeros pseudoaleatorios
![Page 3: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/3.jpg)
0.3162 0.2628 0.1265 0.9885 0.8455 0.52850.4983 0.1467 0.9966 0.0615 0.3225 0.34610.7073 0.0142 0.1460 0.9333 0.6416 0.46750.0762 0.9142 0.6681 0.9370 0.6143 0.41320.1005 0.4276 0.0412 0.9484 0.7520 0.7603
No. ri (ri-r)^21 0.3162 0.05352 0.4983 0.00243 0.7073 0.02554 0.0762 0.22225 0.1005 0.19996 0.2628 0.0811 ls= 58.1201 =7 0.1467 0.1607 12*398 0.0142 0.2845 V( r) =9 0.9142 0.1344 li= 23.6543 =
10 0.4276 0.0144 12*3911 0.1265 0.177312 0.9966 0.201713 0.1460 0.161214 0.6681 0.014515 0.0412 0.256416 0.9885 0.194517 0.0615 0.236318 0.9333 0.148819 0.9370 0.151720 0.9484 0.160721 0.8455 0.088822 0.3225 0.050723 0.6416 0.008824 0.6143 0.004525 0.7520 0.041826 0.5285 0.000427 0.3461 0.040628 0.4675 0.006429 0.4132 0.018130 0.7603 0.045331 0.9288 0.145332 0.9520 0.163633 0.0697 0.228334 0.7019 0.023835 0.8774 0.1088
![Page 4: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/4.jpg)
36 0.8615 0.098637 0.5452 0.000038 0.8278 0.078539 0.5100 0.001440 0.6251 0.0060
V(r ) = 0.1036
![Page 5: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/5.jpg)
0.9288 0.86150.9520 0.54520.0697 0.82780.7019 0.51000.8774 0.6251
r= 0.5475 Z 1.64485363V( r) = 0.1036
0.1242
0.1036
0.0505
![Page 6: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/6.jpg)
1 2 3 4 5 6 71 0.881087 0.416953 0.331817 0.005385 0.541130 0.284307 0.1425092 0.108813 0.697433 0.359658 0.790361 0.748313 0.495990 0.7024793 0.893139 0.257149 0.506054 0.787891 0.085272 0.797049 0.6931104 0.848529 0.816430 0.268096 0.515218 0.414314 0.686648 0.9354595 0.024755 0.836290 0.437513 0.809425 0.447945 0.758176 0.8694716 0.063290 0.415830 0.871559 0.891434 0.186004 0.191135 0.2449537 0.218666 0.786931 0.481589 0.826048 0.146317 0.804552 0.6304338 0.374772 0.309729 0.859733 0.564851 0.160590 0.152554 0.6761189 0.123843 0.286341 0.662970 0.380948 0.580745 0.307885 0.488696
10 0.305894 0.502678 0.932317 0.360411 0.018889 0.355976 0.94065211 0.996792 0.696699 0.711962 0.070127 0.674974 0.033959 0.77010912 0.901394 0.342358 0.127090 0.010153 0.118230 0.179109 0.28027413 0.803237 0.249518 0.770094 0.472424 0.144194 0.332909 0.60700414 0.063790 0.091218 0.242261 0.231491 0.169114 0.197991 0.06247915 0.161315 0.069225 0.459020 0.563440 0.414152 0.872316 0.34980116 0.600975 0.574559 0.038310 0.337440 0.252298 0.702515 0.55403517 0.247050 0.094950 0.264603 0.538261 0.390759 0.973322 0.33936818 0.657714 0.441897 0.441538 0.356052 0.438464 0.790668 0.43649619 0.246781 0.266587 0.818307 0.152648 0.364948 0.785576 0.53463920 0.354048 0.492424 0.512821 0.471546 0.818334 0.381917 0.220658
MAX 0.998837 RANGO 0.993452MIN 0.005385
AMPLITUD 0.062091
LI LS Oi Ei (Ei-Oi)^2/Ei1 0.005385 0.067476 16 15.9375 0.00024512 0.067476 0.129567 14 15.9375 0.235539223 0.129567 0.191658 20 15.9375 1.035539224 0.191658 0.253748 17 15.9375 0.070833335 0.253748 0.315839 21 15.9375 1.608088246 0.315839 0.377930 18 15.9375 0.266911767 0.377930 0.440021 20 15.9375 1.035539228 0.440021 0.502111 19 15.9375 0.588480399 0.502111 0.564202 15 15.9375 0.05514706
10 0.564202 0.626293 12 15.9375 0.9727941211 0.626293 0.688384 10 15.9375 2.2120098
𝑋_(0,05 , 15)^2=
![Page 7: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/7.jpg)
12 0.688384 0.750474 16 15.9375 0.000245113 0.750474 0.812565 17 15.9375 0.0708333314 0.812565 0.874656 22 15.9375 2.3061274515 0.874656 0.936747 10 15.9375 2.212009816 0.936747 1.000000 8 15.9375 3.95318627
255 16.6235294
16.6235294𝑋_(0,5 , 9)^2=
![Page 8: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/8.jpg)
8 9 10 11 12 130.509768 0.933847 0.660030 0.014129 0.294187 0.8411700.770923 0.765486 0.878831 0.760557 0.462097 0.2000060.515824 0.207822 0.619435 0.722153 0.388375 0.4217510.014558 0.024029 0.371231 0.264258 0.830038 0.8568550.850516 0.121623 0.713003 0.223281 0.931221 0.6533630.428493 0.161832 0.634381 0.981259 0.185583 0.4410680.614244 0.998837 0.932624 0.569523 0.797070 0.5955120.185745 0.330047 0.124256 0.829736 0.839780 0.6067840.694573 0.300877 0.336553 0.401292 0.261299 0.2530840.116547 0.763863 0.285582 0.539189 0.873452 0.4875500.265750 0.008814 0.386097 0.045339 0.735598 0.8724520.120869 0.133346 0.183221 0.137260 0.175196 0.9408660.261261 0.541539 0.812925 0.499754 0.330486 0.4724000.432731 0.846325 0.702849 0.450949 0.299948 0.4768750.961701 0.701388 0.852517 0.057689 0.035132 0.5019880.269942 0.846683 0.237404 0.432591 0.4143280.325227 0.714884 0.582098 0.970755 0.3793110.221019 0.130113 0.616227 0.260920 0.4249700.086984 0.697403 0.277063 0.563824 0.6604700.444506 0.726574 0.163768 0.234067 0.560651
16.9189776𝑋_(0,05 , 15)^2=
![Page 9: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/9.jpg)
95% 5%n= 30
1 2 3 4 5 61 0.72484 0.48999 0.50502 0.39528 0.36782 0.902342 0.7189 0.61234 0.86322 0.94134 0.99872 0.276573 0.34565 0.02345 0.67347 0.10987 0.25678 0.255934 0.82345 0.12387 0.0539 0.82474 0.59289 0.367825 0.03991 0.10461 0.93716 0.16894 0.98953 0.73231
MAXm= 5.48 6 MIN
RANGOAMPLITUD
Intervalo Oi (Ei-Oi)^2/EiLI LS
1 0.02345 0.18600 7 5 0.82 0.18600 0.34854 4 5 0.23 0.34854 0.51109 5 5 04 0.51109 0.67363 3 5 0.85 0.67363 0.83618 5 5 06 0.83618 0.99872 6 5 0.2
30 2.00
25%
11.07050 Se acepta el conjunto de números spseudoaleatorios
Se acepta la Ho
𝐻_0: 𝑟_𝑖~𝑈(0,1)𝐻_1:𝑟_𝑖 𝑛𝑜 𝑠𝑜𝑛 𝑢𝑛𝑖𝑓𝑜𝑟𝑚𝑒𝑠𝜌=
𝑚=√𝑛 ≅
𝐸_𝑖=𝑛/𝑚
𝑋_0^2= 𝑋_(𝛼, (𝑚−1))^2= _(𝑋 0,05, 5)^2 =
𝛼=
𝛼=𝑋_0^2< _( , ( −1))^2𝑋 𝛼 𝑚
![Page 10: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/10.jpg)
0.998720.023450.97527
0.162545
Se acepta el conjunto de números spseudoaleatorios
![Page 11: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/11.jpg)
Realizar la prueba Kolgomorov smirnov, con un nivel de confianza del 90%, al siguiente conjunto ri de 10 números.
ri= 0.03 0.11 0.13 0.21 0.26 0.65
nivel de confianza 90%10%
i 1 2 3 4 5 6ri 0.03 0.11 0.13 0.21 0.26 0.65
𝛼=
![Page 12: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/12.jpg)
10D+ D-
i
1 0.100 0.03 0.000 0.070 0.0302 0.200 0.11 0.100 0.090 0.0103 0.300 0.13 0.200 0.170 -0.0704 0.400 0.21 0.300 0.190 -0.0905 0.500 0.26 0.400 0.240 -0.1406 0.600 0.65 0.500 -0.050 0.1507 0.700 0.69 0.600 0.010 0.0908 0.800 0.89 0.700 -0.090 0.1909 0.900 0.97 0.800 -0.070 0.170
10 1.000 0.98 0.900 0.020 0.080
0.240 0.190
0.240
De acuerdo con la tabla de valores para la prueba de K S, el valor crítico
NO SE HA DETECTADO DIFERENCIA SIGNIFICATIVA ENTRE LA DISTRIBUCION DE LOS NUMEROS DEL CONJUNTO ri Y LA DISTRIBUCION UNIFORME
EL CONJUNTO DE NUMEROS ri NO SIGUEN UNA DISTRIBUCION UNIFORME
𝑛=𝑖⁄𝑛 𝑟_𝑖 ((𝑖−1))/𝑛 𝑖⁄𝑛 −𝑟_𝑖 𝑟_𝑖−(( −1))/𝑖 𝑛
𝐷_(0,10 , 10)=0,368𝐷_(𝛼, 𝑛 )>𝐷𝐷_(𝛼, 𝑛 )<𝐷0,368>0,24
![Page 13: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/13.jpg)
Realizar la prueba Kolgomorov smirnov, con un nivel de confianza del 90%, al siguiente conjunto ri de 10 números.
0.69 0.89 0.97 0.98
7 8 9 100.69 0.89 0.97 0.98
![Page 14: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/14.jpg)
NO SE HA DETECTADO DIFERENCIA SIGNIFICATIVA ENTRE LA DISTRIBUCION DE LOS NUMEROS DEL CONJUNTO ri Y LA DISTRIBUCION UNIFORME
EL CONJUNTO DE NUMEROS ri NO SIGUEN UNA DISTRIBUCION UNIFORME
𝐷_(0,10 , 10)=0,368
![Page 15: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/15.jpg)
![Page 16: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/16.jpg)
![Page 17: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/17.jpg)
![Page 18: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/18.jpg)
![Page 19: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/19.jpg)
i 1 2 3 4 5 6 7 8 9 10 11ri= 0.89 0.26 0.01 0.98 0.13 0.12 0.69 0.11 0.05 0.65 0.21
S= 0 0 1 0 0 1 0 0 1 0 0
14
13.667 3.4111
𝑟_(𝑖+1)>𝑟_𝑖 𝑐𝑜𝑙𝑜𝑞𝑢𝑒 1𝑟_(𝑖+1)≤𝑟_𝑖 𝑐𝑜𝑙𝑜𝑞𝑢𝑒 0
𝜇_(𝐶_𝑜 )= (2𝑛−1)/3𝜎_(𝑐_𝑜)^2= (16𝑛−29)/90𝐶_𝑜=
𝑧_0= |(𝐶_𝑜−𝜇_(𝐶_𝑜 ))/𝜎_(𝐶_0 ) |𝜇_(𝐶_𝑜 )= 𝜎_(𝑐_𝑜)^2=
![Page 20: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/20.jpg)
0.1805
NIVEL DE CONFIANZA 95%
1.96
NO SE PUEDE RECHAZAR EL CONJUNTO DE NÚMEROS ri, DEBIDO A QUE ESTOS CUMPLEN LA PROPIEDAD DE INDEPENDENCIA
𝑧_0= 𝑧_(𝛼/2)= 𝑧_0<𝑧_(𝛼/2)
![Page 21: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/21.jpg)
12 13 14 15 16 17 18 19 20 210.04 0.03 0.11 0.07 0.97 0.27 0.12 0.95 0.02 0.06
0 1 0 1 0 0 1 0 1
𝜎_(𝑐_𝑜)^2= (16𝑛−29)/90𝑧_0= |(𝐶_𝑜−𝜇_(𝐶_𝑜 ))/𝜎_(𝐶_0 ) |𝜎_(𝑐_𝑜)^2=
![Page 22: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/22.jpg)
NO SE PUEDE RECHAZAR EL CONJUNTO DE NÚMEROS ri, DEBIDO A QUE ESTOS CUMPLEN LA PROPIEDAD DE INDEPENDENCIA
![Page 23: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/23.jpg)
i 1 2 3 4 5r 0.67 0.62 0.05 0.49 0.59
S= 1 1 0 0 1
55
5.5
5
𝑛_0=𝑛_1=𝜇_(𝐶_𝑜 )= (2𝑛_0. 𝑛_1)/𝑛+1/2𝜎_(𝑐_𝑜)^2= (2𝑛_0. 𝑛_1 (2𝑛_0. 𝑛_1 −𝑛))/(𝑛^2 (𝑛−1) )
𝑧_0= (𝐶_𝑜−𝜇_(𝐶_𝑜 ))/𝜎_(𝐶_0 ) 𝜇_(𝐶_𝑜 )= 𝜎_(𝑐_𝑜)^2=
𝐶_𝑜=
𝑟_𝑖≥0,5
![Page 24: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/24.jpg)
-0.335
nivel de aceptación 95%
1.96 -1.96
como el valor de son independientes con un nivel de confianza del 95 %
CAMPOS 1AUX 1 AUX 2
1 11 2 10 10 2 01 1 10 10 20 3 01 11 2 1
CONTAR 0 3CONTAR 1 2# Co 5
𝑧_0= 𝑧_(𝛼/2)=
-𝑧_(𝛼/2)≤ 𝑧_0 " "≤𝑧_(𝛼/2)
![Page 25: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/25.jpg)
coloque 1 caso contrario asigne 0
6 7 8 9 100.42 0.05 0.02 0.74 0.67
0 0 0 1 1
2.22
𝜎_(𝑐_𝑜)^2= (2𝑛_0. 𝑛_1 (2𝑛_0. 𝑛_1 −𝑛))/(𝑛^2 (𝑛−1) )
𝑧_0= (𝐶_𝑜−𝜇_(𝐶_𝑜 ))/𝜎_(𝐶_0 ) 𝜎_(𝑐_𝑜)^2=
𝑟_𝑖≥0,5
![Page 26: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/26.jpg)
-0.34 1.96
como el valor de cae dentro del intervalo, se dice que no se puede rechazar el conjunto rison independientes con un nivel de confianza del 95 %
-𝑧_(𝛼/2)≤ 𝑧_0 " "≤𝑧_(𝛼/2)≤ ≤ 𝑧_0
![Page 27: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/27.jpg)
0.53466 0.71176 0.82532 0.87067 0.626350.25661 0.35439 0.17033 0.73633 0.118150.70468 0.46931 0.53040 0.84936 0.217950.85383 0.20132 0.29581 0.19018 0.968460.18568 0.38535 0.19154 0.98285 0.648570.23444 0.27340 0.99497 0.16952 0.841240.38481 0.24848 0.58420 0.99270 0.94892
0.53466 1P 0.71176 2P 0.82532 1P 0.870670.25661 1P 0.35439 1P 0.17033 1P 0.736330.70468 TD 0.46931 TD 0.53040 1P 0.849360.85383 2P 0.20132 1P 0.29581 TD 0.190180.18568 1P 0.38535 2P 0.19154 1P 0.982850.23444 T 0.27340 TD 0.99497 T 0.169520.38481 1P 0.24848 2P 0.58420 TD 0.99270
probabilidadm CATEGORIA Oi p Ei= p*n1 TD 9 0.3024 10.584 0.237061222 1P 18 0.504 17.64 0.007346943 2P 4 0.108 3.78 0.012804234 T 4 0.072 2.52 0.869206355 P 0 0.0045 0.1575 0.15756 Q 0 0.0001 0.0035 0.00357 TP 0 0.009 0.315 0.315
n 35 1.602418755 decimales 12.5915872
𝐻_0:𝐿𝑜𝑠 𝑛ú𝑚𝑒𝑟𝑜𝑠 𝑑𝑒𝑙 𝑐𝑜𝑛𝑗𝑢𝑛𝑡𝑜 𝑟_𝑖 son independientes𝐻_1:𝐿𝑜𝑠 𝑛ú𝑚𝑒𝑟𝑜𝑠 𝑑𝑒𝑙 𝑐𝑜𝑛𝑗𝑢𝑛𝑡𝑜 𝑟_𝑖 no son independientes
〖 (𝐸〗_𝑖−𝑂_𝑖)^2/𝐸_𝑖
𝑋_0^2=𝑋_(0,05,6 )^2=
![Page 28: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/28.jpg)
0.55555 Q0.05555 P0.22555 TP
1P 0.62635 1PT 0.11815 T
TD 0.21795 TD1P 0.96846 1P1P 0.64857 TDTD 0.84124 1P1P 0.94892 1P
![Page 29: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/29.jpg)
0.303 0.300 0.680 0.915 0.3200.463 0.057 0.810 0.525 0.5210.358 0.175 0.777 0.005 0.0580.413 0.567 0.892 0.751 0.5060.849 0.986 0.643 0.141 0.3490.828 0.463 0.404 0.721 0.727
# (x, y)1 0.303 0.4632 0.463 0.3583 0.358 0.4134 0.413 0.8495 0.849 0.8286 0.828 0.3007 0.300 0.0578 0.057 0.1759 0.175 0.567
10 0.567 0.98611 0.986 0.46312 0.463 0.68013 0.680 0.81014 0.810 0.77715 0.777 0.64317 0.643 0.404
180.404
0.915Intervalo (m) Oi
19 0.915 0.525 1 2 3.2220 0.525 0.005 2 5 3.2221 0.005 0.751 3 4 3.2222 0.751 0.141 4 4 3.2223 0.141 0.721 5 4 3.2224 0.721 0.320 6 3 3.2225 0.320 0.521 7 2 3.2226 0.521 0.058 8 2 3.2227 0.058 0.506 9 3 3.2228 0.506 0.349 total 29 2929 0.349 0.727
valor de tabla
𝐻_0:𝐿𝑜𝑠 𝑛ú𝑚𝑒𝑟𝑜𝑠 𝑑𝑒𝑙 𝑐𝑜𝑛𝑗𝑢𝑛𝑡𝑜 𝑟_𝑖 son independientes𝐻_1:𝐿𝑜𝑠 𝑛ú𝑚𝑒𝑟𝑜𝑠 𝑑𝑒𝑙 𝑐𝑜𝑛𝑗𝑢𝑛𝑡𝑜 𝑟_𝑖 no son independientes
0.000 0.333 0.667 1.0000.000
0.333
0.667
1.000
Chart Title
𝐸_𝑖=(𝑛−1)/𝑚〖〖 (𝐸〗_ − _ )𝑖 𝑂 𝑖 〗̂ 2/𝐸_𝑖
21
45
7 8
𝑋_0^2=𝑋_(0,05,8 )^2=
![Page 30: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/30.jpg)
m= 5.48 6
0.463601532570.98084291188
0.18773946360.18773946360.18773946360.0153256705
0.463601532570.46360153257
0.01532567052.96551724138
2.96551724138
15.50731
0.000 0.333 0.667 1.0000.000
0.333
0.667
1.000
Chart Title 𝑚=√𝑛
〖〖 (𝐸〗_ − _ )𝑖 𝑂 𝑖 〗̂ 2/𝐸_𝑖
2 3
5 6
9
𝑋_(0,05,8 )^2=
![Page 31: SOL PP1](https://reader036.vdocuments.co/reader036/viewer/2022070420/5695d0ee1a28ab9b02947592/html5/thumbnails/31.jpg)
Campo 1 Aux 1 Aux 20 1 CAMPAUX 1AUX 20 2 0 0 11 1 1 0 2 10 1 1 1 00 2 0 0 11 1 1 0 2 10 1 1 1 00 2 0 0 11 1 1 0 2 10 1 1 1 00 2 0 10 3 0 0 21 1 1 0 3 10 1 0 1 1 01 1 1 0 1 10 1 1 1 00 2 0 0 11 1 1 0 2 10 1 0 1 1 01 1 1 0 1 1
CONTAR ''0'' 7 1 1 0CONTAR ''1'' 7
Co 14