gof con tablas normal

7/24/2019 GOF Con Tablas Normal

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Probar que los datos X provienen de una distribucin normal con media "mu" ydesviacin estndar "stdv" desconocidas. Aplicar la prueba de Kolmogorov-Smirnoff.

mu !.# $%&AS' (a prueba KS para $ormal asume que los valores destdv ).)) mu y stdv se calculan a partir de la muestra.

*. +onstruir la tabla' Para los primeros , valores y para los ltimos , se buscaron lPara el resto2 se aprovec3 la funcin $ormal de 40cel.

i X i5$ /i-615$ /Xi1 7if 8 7if -1 -2.798 0.0125 0 0.0021 0.0104 0.00212 2.593 0.025 0.0125 0.0505 -0.0255 0.03803 2.656 0.0375 0.025 0.0521 -0.0146 0.02714 3.433 0.05 0.0375 0.0735 -0.0235 0.03605 3.505 0.0625 0.05 0.0758 -0.0133 0.02586 4.105 0.075 0.0625 0.0970 -0.0220 0.03457 4.182 0.0875 0.075 0.1001 -0.0126 0.02518 4.673 0.1 0.0875 0.1209 -0.0209 0.03349 4.799 0.1125 0.1 0.1266 -0.0141 0.0266

10 5.103 0.125 0.1125 0.1415 -0.0165 0.029011 5.158 0.1375 0.125 0.1442 -0.0067 0.019212 5.719 0.15 0.1375 0.1749 -0.0249 0.037413 5.945 0.1625 0.15 0.1883 -0.0258 0.038314 6.116 0.175 0.1625 0.1989 -0.0239 0.036415 6.184 0.1875 0.175 0.2032 -0.0157 0.028216 6.363 0.2 0.1875 0.2148 -0.0148 0.027317 6.379 0.2125 0.2 0.2158 -0.0033 0.015818 6.499 0.225 0.2125 0.2238 0.0012 0.011319 6.657 0.2375 0.225 0.2346 0.0029 0.009620 6.713 0.25 0.2375 0.2385 0.0115 0.001021 6.787 0.2625 0.25 0.2437 0.0188 -0.006322 6.800 0.275 0.2625 0.2446 0.0304 -0.017923 7.168 0.2875 0.275 0.2714 0.0161 -0.003624 7.181 0.3 0.2875 0.2724 0.0276 -0.015125 7.194 0.3125 0.3 0.2733 0.0392 -0.026726 7.325 0.325 0.3125 0.2832 0.0418 -0.029327 7.375 0.3375 0.325 0.2871 0.0504 -0.037928 7.378 0.35 0.3375 0.2873 0.0627 -0.050229 7.488 0.3625 0.35 0.2958 0.0667 -0.054230 8.092 0.375 0.3625 0.3444 0.0306 -0.018131 8.106 0.3875 0.375 0.3455 0.0420 -0.029532 8.159 0.4 0.3875 0.3500 0.0500 -0.037533 8.210 0.4125 0.4 0.3542 0.0583 -0.045834 8.376 0.425 0.4125 0.3683 0.0567 -0.044235 8.408 0.4375 0.425 0.3709 0.0666 -0.054136 8.611 0.45 0.4375 0.3884 0.0616 -0.049137 8.623 0.4625 0.45 0.3894 0.0731 -0.060638 8.681 0.475 0.4625 0.3944 0.0806 -0.068139 8.725 0.4875 0.475 0.3983 0.0892 -0.076740 8.835 0.5 0.4875 0.4078 0.0922 -0.0797

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%b:etivo


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41 8.950 0.5125 0.5 0.4179 0.0946 -0.082142 9.046 0.525 0.5125 0.4264 0.0986 -0.086143 9.392 0.5375 0.525 0.4571 0.0804 -0.067944 10.037 0.55 0.5375 0.5151 0.0349 -0.022445 10.108 0.5625 0.55 0.5214 0.0411 -0.028646 10.420 0.575 0.5625 0.5493 0.0257 -0.0132

47 10.554 0.5875 0.575 0.5612 0.0263 -0.013848 10.607 0.6 0.5875 0.5660 0.0340 -0.021549 10.746 0.6125 0.6 0.5782 0.0343 -0.021850 11.025 0.625 0.6125 0.6027 0.0223 -0.009851 11.115 0.6375 0.625 0.6105 0.0270 -0.014552 11.321 0.65 0.6375 0.6281 0.0219 -0.009453 11.527 0.6625 0.65 0.6456 0.0169 -0.004454 11.650 0.675 0.6625 0.6558 0.0192 -0.006755 11.942 0.6875 0.675 0.6797 0.0078 0.004756 12.391 0.7 0.6875 0.7150 -0.0150 0.027557 12.619 0.7125 0.7 0.7321 -0.0196 0.032158 12.934 0.725 0.7125 0.7550 -0.0300 0.0425

59 12.961 0.7375 0.725 0.7569 -0.0194 0.031960 13.004 0.75 0.7375 0.7599 -0.0099 0.022461 13.113 0.7625 0.75 0.7675 -0.0050 0.017562 13.165 0.775 0.7625 0.7711 0.0039 0.008663 13.388 0.7875 0.775 0.7860 0.0015 0.011064 13.687 0.8 0.7875 0.8051 -0.0051 0.017665 13.795 0.8125 0.8 0.8117 0.0008 0.011766 14.869 0.825 0.8125 0.8700 -0.0450 0.057567 14.979 0.8375 0.825 0.8751 -0.0376 0.050168 15.090 0.85 0.8375 0.8802 -0.0302 0.042769 15.218 0.8625 0.85 0.8859 -0.0234 0.035970 15.222 0.875 0.8625 0.8860 -0.0110 0.0235

71 15.661 0.8875 0.875 0.9040 -0.0165 0.029072 15.704 0.9 0.8875 0.9056 -0.0056 0.018173 15.790 0.9125 0.9 0.9088 0.0037 0.008874 16.350 0.925 0.9125 0.9278 -0.0028 0.015375 16.367 0.9375 0.925 0.9283 0.0092 0.003376 17.381 0.95 0.9375 0.9547 -0.0047 0.017277 17.781 0.9625 0.95 0.9626 -0.0001 0.012678 18.683 0.975 0.9625 0.9764 -0.0014 0.013979 18.819 0.9875 0.975 0.9780 0.0095 0.003080 20.663 1 0.9875 0.9925 0.0075 0.0050

78 7-mu !.# ;.;!< ;.;=#=

stdev ).))

**. +alcular el estad>stico de prueba 7n.

7n ;.;!


3/15

***. 7eterminar el valor cr>tico 7alfa'

n ;

?/;1 !.;@!,

+alfa ;.!=

7alfa ;.;!!6@@

*. Bacer la prueba de 3iptesis.

7 ;.;!tico.20 6.71321 6.787 En general el n!ero "e gra"o# "e li$erta" e# ig%al22 6.800 a &-1-#' "on"e & e# el n!ero "e la#e#' * #23 7.168 e# el n!ero "e ar,!etro# a e#ti!ar en la "i#tri$%in.24 7.181 En e#te a#o no #e onoen "e ante!ano !% * #ig!a25 7.194 * %tilia!o# lo# %e al%la!o# "e la !%e#tra' or lo26 7.325 %e #e e#t,n e#ti!an"o 2 ar,!etro# "e la o$lain.27 7.375 or lo tanto el alor "e # 2' * el n!ero "e gra"o# "e28 7.378 li$erta" e# entone# 9 - 1 - 2 6.29 7.488 ar,!etro "e la "i#tri$%in.30 8.092

31 8.10632 8.15933 8.21034 8.37635 8.40836 8.61137 8.62338 8.681

ProbAcum&erica

rec Acum&er.

FrecEsperada

25

30

Bistogram


11/15

39 8.72540 8.83541 8.95042 9.04643 9.39244 10.037

45 10.10846 10.42047 10.55448 10.60749 10.74650 11.02551 11.11552 11.32153 11.52754 11.65055 11.94256 12.391

57 12.61958 12.93459 12.96160 13.00461 13.11362 13.16563 13.38864 13.68765 13.79566 14.86967 14.97968 15.090

69 15.21870 15.22271 15.66172 15.70473 15.79074 16.35075 16.36776 17.38177 17.78178 18.68379 18.81980 20.663

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12/15

9ean !.#Std 7ev ).))

X rea a$la0 -2.223359 0.98693 -1.54755 0.9396 -0.87174 0.80789 -0.195931 0.5773

12 0.479879 0.6844

0.0021984733 15 1.155688 0.8760.8758413361 18 1.831497 0.96640.0234390244 21 2.507307 0.99394.95626898052.2978647306

0.72257202511.05943362830.2909090909

0.4886;.#6


13/15

Frec Obs


14/15

F()0.01310.061

0.19220.4227

0.6844

0.8760.96640.9939


15/15

gof con tablas normal

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