valores desace0.61536472 0.434574220.07941644 0.615364720.93179772 0.079416440.42251268 0.931797720.04398623 0.42251268

0.3305082 0.043986230.64044866 0.33050820.00908179 0.640448660.25946859 0.009081790.74670585 0.259468590.52254422 0.746705850.58969821 0.52254422

0.5765369 0.589698210.79529085 0.57653690.45609607 0.795290850.70782124 0.456096070.29245183 0.707821240.58172336 0.292451830.68060293 0.581723360.09154314 0.680602930.56584786 0.091543140.97104273 0.565847860.96544144 0.971042730.12403126 0.965441440.93380264 0.124031260.04594184 0.933802640.77603903 0.04594184

0.7692228 0.776039030.53452949 0.76922280.93737276 0.534529490.06753064 0.93737276

0.0812953 0.067530640.59169432 0.08129530.62354898 0.591694320.38375241 0.623548980.23099583 0.383752410.08929675 0.230995830.35497213 0.089296750.02411591 0.354972130.07369218 0.02411591

0.680725 0.073692180.06430204 0.680725

0.3785178 0.064302040.93287546 0.3785178

0 0.2 0.4 0.6 0.8 1 1.20

0.2

0.4

0.6

0.8

1

1.2

grafico XY

0.54404267 0.932875460.62681095 0.544042670.90244776 0.626810950.64977463 0.902447760.44933795 0.649774630.84439258 0.449337950.48209493 0.844392580.62536367 0.48209493

0.4245934 0.625363670.52427167 0.42459340.97226387 0.524271670.07678159 0.972263870.05593403 0.076781590.39329795 0.055934030.04267069 0.393297950.11191429 0.042670690.01156382 0.111914290.77582507 0.01156382

0.97652 0.775825070.38953071 0.976520.04836419 0.389530710.53352127 0.048364190.99435899 0.533521270.47958155 0.994358990.34921974 0.47958155

0.2461466 0.349219740.60929626 0.24614660.88501244 0.609296260.01236105 0.885012440.39032904 0.012361050.53596135 0.390329040.30334309 0.535961350.13452643 0.303343090.75667368 0.13452643

0.2099493 0.756673680.64226593 0.20994930.13468073 0.642265930.85037331 0.134680730.19346694 0.85037331

0.7582976 0.193466940.57105384 0.75829760.57104934 0.571053840.10420156 0.571049340.38800697 0.10420156

0.0117774 0.38800697

0.74074802 0.01177740.81730844 0.740748020.87994393 0.817308440.87596381 0.879943930.64300802 0.875963810.42956514 0.643008020.40233297 0.429565140.86869503 0.402332970.17269689 0.868695030.40294211 0.172696890.98276852 0.40294211

0.6553248 0.982768520.59482534 0.65532480.65386759 0.594825340.37351123 0.653867590.64599775 0.373511230.36359566 0.645997750.51254221 0.363595660.38763377 0.512542210.38996923 0.387633770.71813997 0.389969230.97065975 0.718139970.63327168 0.970659750.48524992 0.633271680.71958023 0.485249920.29013158 0.71958023

0.8014698 0.290131580.00134496 0.80146980.26648843 0.001344960.75592395 0.266488430.72920553 0.755923950.62140553 0.72920553

0.7250172 0.621405530.68828635 0.72501720.64916936 0.688286350.38642017 0.649169360.91315107 0.386420170.41847472 0.91315107

0.2658487 0.418474720.21410032 0.26584870.88256346 0.214100320.10268495 0.882563460.94499718 0.102684950.24890039 0.944997180.45857854 0.24890039

0.49111053 0.458578540.9349995 0.49111053

0.74493137 0.93499950.48956456 0.744931370.77750091 0.489564560.94517881 0.777500910.14342487 0.945178810.08419281 0.143424870.75469418 0.084192810.58506351 0.754694180.79645835 0.585063510.90987531 0.796458350.65694546 0.909875310.25165243 0.656945460.82103413 0.251652430.14761534 0.821034130.22270147 0.147615340.59626338 0.222701470.82963235 0.596263380.30871657 0.829632350.51808707 0.308716570.09496054 0.518087070.30633736 0.094960540.55981563 0.306337360.08634058 0.559815630.62113588 0.086340580.68872103 0.621135880.66112815 0.688721030.82887367 0.661128150.10893159 0.828873670.56265172 0.108931590.97505848 0.56265172

0.3169146 0.975058480.9760839 0.3169146

0.45646172 0.97608390.26729201 0.456461720.33679046 0.267292010.45438884 0.33679046

0.8008999 0.454388840.82493182 0.80089990.70427483 0.824931820.72232138 0.704274830.43404782 0.722321380.33005072 0.434047820.71457883 0.33005072

0.46454394 0.714578830.72328098 0.464543940.24538989 0.723280980.02142198 0.245389890.05425557 0.021421980.25204343 0.054255570.65513139 0.252043430.17811145 0.655131390.25289542 0.178111450.16326433 0.252895420.08314945 0.163264330.53465049 0.083149450.98776235 0.534650490.20146477 0.987762350.31467058 0.201464770.11049085 0.31467058

0.2738617 0.110490850.2214825 0.2738617

0.43516104 0.22148250.8378513 0.43516104

0.43457422 0.83785130.43457422

0 0.2 0.4 0.6 0.8 1 1.20

0.2

0.4

0.6

0.8

1

1.2

grafico XY

X^2 X1,,Xn r1,..,rn

5735 32890225 8902 0.89028902 79245604 2456 0.24562456 60319360 3193 0.31933193 10195249 1952 0.19521952 38103040 1030 0.1031030 10609000 6090 0.6096090 37088100 0881 0.08810881 77616100 6161 0.61616161 37957921 9579 0.95799579 91757241 7572 0.75727572 57335184 3351 0.33513351 11229201 2292 0.22922292 52532640 5326 0.53265326 28366276 3662 0.36623662 13410244 4102 0.41024102 16826404 8264 0.82648264 68293696 2936 0.29362936 86200960 2009 0.20092009 40360810 3608 0.36083608 13017664 0176 0.01760176 30976000 976 0.0976976 95257600 2576 0.25762576 66357760 3577 0.35773577 12794929 7949 0.79497949 63186601 1866 0.18661866 34819560 8195 0.81958195 67158020 1580 0.1581580 24964000 9640 0.9649640 92929600 9296 0.92969296 86415616 4156 0.41564156 17272336 2723 0.27232723 74147290 1472 0.14721472 21667840 6678 0.66786678 44595684 5956 0.59565956 35473936 4739 0.47394739 22458121 4581 0.45814581 20985561 9855 0.98559855 97121025 1210 0.1211210 14641000 6410 0.6416410 41088100 0881 0.08810881 77616100 6161 0.61616161 37957921 9579 0.95799579 91757241 7572 0.7572

inicio con la semilla

A2

7572 57335184 3351 0.33513351 11229201 2292 0.22922292 52532640 5326 0.53265326 28366276 3662 0.36623662 13410244 4102 0.41024102 16826404 8264 0.82648264 68293696 2936 0.2936

NUMEROS CORRIDAS ARRIBA Y ABAJO Co MEDIA DE Co

0.6351 24 33 8.566666670.4271 00.9498 10.3641 00.8559 10.0272 00.4855 10.9323 10.0356 0

0.728 10.0227 00.2028 10.0265 00.2181 10.7789 10.3827 00.1618 00.4696 10.0866 00.1746 10.0659 00.5336 1

0.773 10.6085 00.6637 10.3683 00.7378 1

0.967 10.4468 00.0687 0

0.227 10.367 1

0.75 10.0539 00.5494 10.7323 10.6637 00.5259 00.9311 10.1504 00.4088 1

VARIANZA DE Co

0.1864 00.5269 10.3128 00.8397 10.2139 00.6734 10.5406 00.1562 00.2995 1

Total 26

Zo

-3.0749395 n=503.0749395

Z de tablas para un nivel de aceptacion

del 90%

Serie x y0.5858 (0.5858,0.6213) 0.5858 0.62130.6213 (0.6213,0.1931) 0.6213 0.19310.1931 (0.1931,0.1242) 0.1931 0.12420.1242 (0.1242,0.8658) 0.1242 0.86580.8658 (0.8658,0.8863) 0.8658 0.88630.8863 (0.8863,0.436) 0.8863 0.4360.436 (0.436,0.0843) 0.436 0.08430.0843 (0.0843,0.8826) 0.0843 0.88260.8826 (0.8826,0.4028) 0.8826 0.40280.4028 (0.4028,0.8378) 0.4028 0.83780.8378 (0.8378,0.6279) 0.8378 0.62790.6279 (0.6279,0.9152) 0.6279 0.91520.9152 (0.9152,0.9921) 0.9152 0.99210.9921 (0.9921,0.6136) 0.9921 0.61360.6136 (0.6136,0.3203) 0.6136 0.32030.3203 (0.3203,0.8415) 0.3203 0.84150.8415 (0.8415,0.6093) 0.8415 0.60930.6093 (0.6093,0.8523) 0.6093 0.85230.8523 (0.8523,0.872) 0.8523 0.8720.872 (0.872,0.4115) 0.872 0.41150.4115 (0.4115,0.5786) 0.4115 0.57860.5786 (0.5786,0.7587) 0.5786 0.75870.7587 (0.7587,0.6723) 0.7587 0.67230.6723 (0.6723,0.1126) 0.6723 0.11260.1126 (0.1126,0.271) 0.1126 0.2710.271 (0.271,0.0543) 0.271 0.05430.0543 (0.0543,0.4515) 0.0543 0.45150.4515 (0.4515,0.854) 0.4515 0.8540.854 (0.854,0.5857) 0.854 0.58570.5857 (0.5857,0.9238) 0.5857 0.92380.9238 (0.9238,0.3567) 0.9238 0.35670.3567 (0.3567,0.3203) 0.3567 0.32030.3203 (0.3203,0.4722) 0.3203 0.47220.4722 (0.4722,0.9172) 0.4722 0.91720.9172 (0.9172,0.1959) 0.9172 0.19590.1959 (0.1959,0.1655) 0.1959 0.16550.1655 (0.1655,0.5139) 0.1655 0.51390.5139 (0.5139,0.4781) 0.5139 0.47810.4781 (0.4781,0.8943) 0.4781 0.89430.8943 (0.8943,0.9268) 0.8943 0.92680.9268 (0.9268,0.388) 0.9268 0.3880.388 (0.388,0.707) 0.388 0.7070.707 (0.707,0.2101) 0.707 0.21010.2101 (0.2101,0.8095) 0.2101 0.80950.8095 (0.8095,0.6702) 0.8095 0.67020.6702 (0.6702,0.808) 0.6702 0.808

valores de tabla

0 0.2 0.4 0.6 0.8 1 1.20

0.20.40.60.8

11.2

Grafica de dispersion

Column Dx

y

0.808 (0.808,0.9123) 0.808 0.91230.9123 (0.9123,0.168) 0.9123 0.1680.168 (0.168,0.6408) 0.168 0.64080.6408

Intervalo Oi Ei X cuadrada1 2 1.96 0.000816332 1 1.96 0.470204083 2 1.96 0.000816334 1 1.96 0.470204085 2 1.96 0.000816336 1 1.96 0.470204087 1 1.96 0.470204088 1 1.96 0.470204089 1 1.96 0.47020408

10 2 1.96 0.0008163311 1 1.96 0.4702040812 0 1.96 1.9613 2 1.96 0.0008163314 2 1.96 0.0008163315 5 1.96 4.7151020416 2 1.96 0.0008163317 2 1.96 0.0008163318 0 1.96 1.9619 1 1.96 0.4702040820 3 1.96 0.5518367321 2 1.96 0.0008163322 3 1.96 0.5518367323 4 1.96 2.1232653124 3 1.96 0.5518367325 5 1.96 4.71510204

total 49 49 20.8979592

0 0.2 0.4 0.6 0.8 1 1.20

0.20.40.60.8

11.2

Grafica de dispersion

Column Dx

y

nx y intervalo Oi

1 0.97915741 0.30705563 1 22 0.42406562 0.97915741 2 73 0.38459682 0.42406562 3 64 0.41533927 0.38459682 4 25 0.13754074 0.41533927 5 46 0.92792973 0.13754074 6 57 0.38557912 0.92792973 7 38 0.21599913 0.38557912 8 69 0.6028041 0.21599913 9 3

10 0.97313368 0.6028041 10 411 0.39112344 0.97313368 11 512 0.4680643 0.39112344 12 713 0.06342901 0.4680643 13 414 0.6649893 0.06342901 14 515 0.20587515 0.6649893 15 116 0.87267175 0.20587515 16 317 0.29208665 0.87267175 17 118 0.75799694 0.29208665 18 319 0.21707445 0.75799694 19 420 0.44627444 0.21707445 20 721 0.13840854 0.44627444 21 322 0.68423219 0.13840854 22 223 0.91236201 0.68423219 23 324 0.74310489 0.91236201 24 425 0.66392626 0.74310489 25 626 0.19133788 0.6639262627 0.94007376 0.1913378828 0.98006415 0.9400737629 0.87322343 0.9800641530 0.76874132 0.8732234331 0.04730976 0.7687413232 0.08136484 0.0473097633 0.97617503 0.0813648434 0.65179439 0.9761750335 0.15492245 0.6517943936 0.27967632 0.1549224537 0.68310364 0.2796763238 0.52424188 0.6831036439 0.07978883 0.5242418840 0.73598826 0.0797888341 0.08306113 0.7359882642 0.22069857 0.0830611343 0.05758602 0.22069857

44 0.0518773 0.0575860245 0.64841686 0.051877346 0.41908273 0.6484168647 0.51750511 0.4190827348 0.7540927 0.5175051149 0.15372612 0.754092750 0.98399858 0.1537261251 0.41218934 0.9839985852 0.34999439 0.4121893453 0.62043475 0.3499943954 0.55157868 0.6204347555 0.48272647 0.5515786856 0.53089062 0.4827264757 0.48426958 0.5308906258 0.18385516 0.4842695859 0.66293284 0.1838551660 0.54024387 0.6629328461 0.27059676 0.5402438762 0.91829977 0.2705967663 0.90277712 0.9182997764 0.50995202 0.9027771265 0.40109881 0.5099520266 0.30731576 0.4010988167 0.84875616 0.3073157668 0.2981918 0.8487561669 0.24174429 0.298191870 0.15571619 0.2417442971 0.4694201 0.1557161972 0.9448716 0.469420173 0.03070498 0.944871674 0.62315056 0.0307049875 0.4398635 0.6231505676 0.81006811 0.439863577 0.06944585 0.8100681178 0.68987035 0.0694458579 0.52174354 0.6898703580 0.63355177 0.5217435481 0.22579199 0.6335517782 0.58848611 0.2257919983 0.19541681 0.5884861184 0.16789296 0.1954168185 0.1269478 0.1678929686 0.70972075 0.126947887 0.18424339 0.7097207588 0.29168269 0.18424339

89 0.69161664 0.2916826990 0.45962274 0.6916166491 0.85425745 0.4596227492 0.32318761 0.8542574593 0.21324121 0.3231876194 0.93888247 0.2132412195 0.440223 0.9388824796 0.65076932 0.44022397 0.20231732 0.6507693298 0.82358744 0.2023173299 0.39895457 0.82358744

100 0.30705563 0.398954570.30705563

fe4 14 2.254 14 14 04 0.254 0.254 14 0.254 04 0.254 2.254 04 0.254 2.254 0.254 2.254 0.254 04 2.254 0.254 14 0.254 04 1

19.5

0 0.2 0.4 0.6 0.8 1 1.20

0.2

0.4

0.6

0.8

1

1.2

y

y

INTERPRETACION DE RESULTADOS

El valor calculado de Z tablas es de 37.652, y el Z calculado es de 19.5, lo que quiere decir que el valor de Z cal. se acepta ya que esta dentro del rango establecido.

0 0.2 0.4 0.6 0.8 1 1.20

0.2

0.4

0.6

0.8

1

1.2

y

y

INTERPRETACION DE RESULTADOS

El valor calculado de Z tablas es de 37.652, y el Z calculado es de 19.5, lo que quiere decir que el valor de Z cal. se acepta ya que esta dentro del rango establecido.

Ri n R (R(I) - R)^20.5858 1 0.57586 9.8804E-005 PROMEDIO0.6213 2 0.57586 0.00206479 Media0.1931 3 0.57586 0.14650522 Varianza0.1242 4 0.57586 0.203996760.8658 5 0.57586 0.08406520.8863 6 0.57586 0.09637299

0.436 7 0.57586 0.019560820.0843 8 0.57586 0.241631230.8826 9 0.57586 0.094089430.4028 10 0.57586 0.029949760.8378 11 0.57586 0.068612560.6279 12 0.57586 0.002708160.9152 13 0.57586 0.115151640.9921 14 0.57586 0.173255740.6136 15 0.57586 0.001424310.3203 16 0.57586 0.065310910.8415 17 0.57586 0.070564610.6093 18 0.57586 0.001118230.8523 19 0.57586 0.07641907

0.872 20 0.57586 0.08769890.4115 21 0.57586 0.027014210.5786 22 0.57586 7.5076E-0060.7587 23 0.57586 0.033430470.6723 24 0.57586 0.009300670.1126 25 0.57586 0.21460983

0.271 26 0.57586 0.092939620.0543 27 0.57586 0.272024830.4515 28 0.57586 0.01546541

0.854 29 0.57586 0.077361860.5857 30 0.57586 9.6826E-0050.9238 31 0.57586 0.121062240.3567 32 0.57586 0.048031110.3203 33 0.57586 0.065310910.4722 34 0.57586 0.01074540.9172 35 0.57586 0.1165130.1959 36 0.57586 0.14436960.1655 37 0.57586 0.168395330.5139 38 0.57586 0.003839040.4781 39 0.57586 0.009557020.8943 40 0.57586 0.101404030.9268 41 0.57586 0.12315888

0.388 42 0.57586 0.035291380.707 43 0.57586 0.0171977

0.2101 44 0.57586 0.13378038

No son exactamente los mismo ya que de media se pide 0.5 y para varianza 1/12 asi que los resultados calculados para de esta regla. Y la relacion entre 1 y 0 al igual no cumplen.Atribuye a que los numeros pseudoaleatorios son diferente y es lo que ocasiona.

0.8095 45 0.57586 0.054587650.6702 46 0.57586 0.00890004

0.808 47 0.57586 0.053888980.9123 48 0.57586 0.11319187

0.168 49 0.57586 0.166349780.6408 50 0.57586 0.0042172

28.793 3.82264192

Ri (R(I) - R)^20.57586 3.82264192 0.07801310.57586

3.82264192

No son exactamente los mismo ya que de media se pide 0.5 y para varianza 1/12 asi que los resultados calculados para de esta regla. Y la relacion entre 1 y 0 al igual no cumplen.Atribuye a que los numeros pseudoaleatorios son diferente y es lo que ocasiona.

Ri INTERVALO FO FE (FE-FO)^2/F

0.33845153 .00- 0.1 7 5 0.80.49402413 0.1- 0.2 5 5 00.16119777 0.2- 0.3 3 5 0.80.70268797 0.3- 0.4 7 5 0.80.50405675 0.4- 0.5 7 5 0.80.30980501 0.5-0.6 6 5 0.20.61552696 0.6- 0.7 4 5 0.2

0.5423631 0.7- 0.8 6 5 0.20.50419042 0.8- 0.9 2 5 1.80.55073031 0.9- 1 3 5 0.80.71947515 50

0.59147210.61338532 se concluye que el estadistico no se puede rechazar los nueros Ri por que el estadistico de chi-cuadrada de tablas es menos que el estadistico calculado

0.45053120.371580710.108884280.872668010.944285360.013901740.271032140.603143260.306656050.275645330.052792490.721505180.203119080.004739370.645935610.148805440.778207540.58100415

0.71275330.330352150.120435850.470421220.082188990.40575432

0.4179870.458956620.850487570.992852760.00291147

0.000252790.701400640.497607480.911909060.178999860.066737070.360698580.35519347

6.4 16.9

se concluye que el estadistico no se puede rechazar los nueros Ri por que el estadistico de chi-cuadrada de tablas es menos que el estadistico calculado

X^2 chi-cuadrada

CHI-CUADRADA

0.005,9

se concluye que el estadistico no se puede rechazar los nueros Ri por que el estadistico de chi-cuadrada de tablas es menos que el estadistico calculado

N. TELEFONICOS Arriba y abajo N DE CORRIDAS N0 N13414128031 28 213414125015 0 14747423601 1 23414130266 0 33414124640 03331351325 04747425000 1 44747422449 0 53336503347 04747420666 1 64747420356 0 73414135620 03336901450 04747464477 1 84747424985 0 93414120151 04747420674 1 104747420352 0 113414121150 0 123414121970 1 133414121725 03414127707 1 144747426239 14747420351 0 154747411299 03414121372 03331223270 0 163336475177 1 173338176185 1 184747420147 14747425210 13414120103 0 193414120128 13336111115 0 203336111116 1 213336186966 1 224747411444 13414120584 0 233331229985 03336161626 1 243414127595 14747422984 13336403440 03336403110 0 25

3331331372 04747423104 1 264747421707 0 273331222551 03336476882 1 283336377189 0 29

poker Ult. 5 digitos TD 1P 2P TTD 28031 12 24 5 61P 25015 PROBABILIDAD:TD 23601 0.3024 0.504 0.108 0.0721P 30266 Frecuencia Esperada:1P 24640 15.12 25.2 5.4 3.61P 51325 Estadistico de prueba Chi- cuadrada:T 25000 0.64380952 0.05714286 0.02962963 1.62P 224491P 03347 Se rechaza H0 por que Chi- cuadrada calculada es mayor que Chi de tablas.T 20666TD 20356TD 356201P 014502P 64477TD 249851P 201511P 20674TD 203521P 21150TD 219701P 21725T 277071P 26239TD 203512P 112991P 213721P 23270T 75177TD 76185TD 201471P 252101P 201031P 20128POKER 11115POKER 11116T 86966TP 11444TD 205841P 29985T 616261P 275951P 229842P 034401P 03110

1P 31372TD 231041P 217072P 225511P 768821P 77189

TP POKER1 2

PROBABILIDAD:0.009 0.0045

Frecuencia Esperada:0.45 0.225

Estadistico de prueba Chi- cuadrada: Chi- Cuadrada:0.67222222 14.0027778 17.0055820106

Se rechaza H0 por que Chi- cuadrada calculada es mayor que Chi de tablas.

NUMEROS MEDIA DE Co Zo

0.1816464 29 33 8.56666667 1.366639780.99402651 10.78077893 00.33314733 00.51776436 10.16848822 00.88557078 10.74024924 00.78349585 10.52760058 00.50722558 00.23259427 00.76520536 10.80543886 10.81528305 10.44280324 00.21608502 00.53272297 1

0.5593008 10.47495301 00.30758126 00.42463185 10.59317925 10.25971377 00.98448556 10.95524424 00.74339081 0

0.440309 00.28039786 00.52898288 10.74926798 10.79001785 10.23979369 0

0.4179422 10.48175687 1

0.8272957 10.25287878 00.21406699 00.55882862 10.21311036 00.31628676 1

CORRIDAS ARRIBA Y

ABAJO

NUMERO DE CORRIDAS DE

1 Y 0VARIANZA DE

Co

0.15351289 00.92226088 10.54819545 00.04773645 00.38835723 10.41917302 10.09345876 00.01620445 00.06046972 1

1.65

Z de tablas para un nivel de aceptacion

del 90%

0.1520 TD 0.9020 2P 0.08630.4183 TD 0.3715 TD 0.72420.6693 1P 0.0219 TD 0.30880.6779 1P 0.5627 TD 0.95050.5051 1P 0.1187 1P 0.57910.1494 1P 0.6142 TD 0.35930.6174 TD 0.9530 TD 0.63600.9953 1P 0.0800 T 0.43590.6570 TD 0.1790 TD 0.52010.9681 TD 0.8631 TD 0.8341

CATEGORIAS O E

todos diferen 54 0.5040 110 55.440Exactamente 1 46 0.4320 110 47.5202 pares(2P) 4 0.0270 110 2.970Tercia(T) 3 0.0360 110 3.960poker(p) 0 0.0010 110 0.110

Los valores de CHI-CUADRADA SON: 11.070 Se utilizan 5 grados de libertad en las tablas X^2 por ser 5 clacifiaciones en la tabla utilizando 4 decimales. Nuestra Hipotesis seria la siguiente:

la sumatoria del estaditico = 0.78595 es menor al estadistico de chi-cuadrada

en consecuencia no se pueden rechazar los numeros en conjunto r , son totalmente aleatorios.

TD 0.6052 TD 0.3548 TD 0.64061P 0.1460 TD 0.2279 1P 0.65951P 0.1515 1P 0.3969 1P 0.11131P 0.9307 TD 0.4689 TD 0.1844TD 0.7349 TD 0.9323 1P 0.15301P 0.0567 TD 0.5312 TD 0.16201P 0.2377 1P 0.9435 TD 0.7769TD 0.5132 TD 0.2263 1P 0.8196TD 0.5782 TD 0.6828 1P 0.9974TD 0.8307 TD 0.8855 2P 0.4665

0.037400.048620.357210.232730.110000.78595

(( ) ^^^^^^^^^^^^ )/

Los valores de CHI-CUADRADA SON: 11.070 Se utilizan 5 grados de libertad en las tablas X^2 por ser 5 clacifiaciones en la tabla utilizando 4 decimales. Nuestra Hipotesis seria la siguiente:

la sumatoria del estaditico = 0.78595 es menor al estadistico de chi-cuadrada

en consecuencia no se pueden rechazar los numeros en conjunto r , son totalmente aleatorios.

1P 0.9256 TD 0.8180 1P 0.49891P 0.8999 T 0.9251 TD 0.2873T 0.5259 1P 0.3132 1P 0.55001P 0.7478 1P 0.4470 1P 0.3125TD 0.7519 TD 0.0252 1P 0.0037TD 0.1538 TD 0.5369 TD 0.65071P 0.7861 TD 0.9706 TD 0.4472TD 0.9898 2P 0.6087 TD 0.30361P 0.4699 1P 0.5584 1P 0.18691P 0.8202 1P 0.6778 1P 0.4726

1P 0.9835 TD 0.6149 TDTD 0.9499 T 0.8857 1P2P 0.4535 1P 0.6584 TDTD 0.4937 TD 0.8865 1P1P 0.7126 TD 0.0715 TDTD 0.0210 1P 0.8634 TD1P 0.1994 1P 0.6991 1P1P 0.0092 1P 0.4354 1PTD 0.2087 TD 0.5702 TDTD 0.3375 1P 0.1282 TD

196 dul y kary171829207141612