MEDIA 74DESV 0.49333LIM SUP 74.49333LIM INF 73.50667

X1 X2 X3 X4 X5 X S1 74.6817391 73.99434306 74.1825879 74.0795166 73.6269226 74.1130218 0.380715952 73.5066021 73.94276983 73.5611247 73.7217252 73.7761893 73.7016822 0.174562983 74.1107524 73.62696679 73.9374689 74.0158226 74.5104887 74.0402999 0.319397344 75.0926636 73.64499432 74.3451283 74.1750505 73.8098436 74.2135361 0.565214635 74.0994942 74.79979372 74.3337659 74.7073469 72.9901135 74.1861028 0.7259496 73.7114417 73.98325324 73.6854119 73.9460962 73.8183749 73.8289156 0.13421627 75.0008859 73.76970817 73.9420586 73.7061868 74.4151992 74.1668077 0.542622498 74.5329282 73.65756959 74.121309 73.9786742 73.1566844 73.8894331 0.516356899 73.035 73.43923747 73.8115827 74.7438277 73.9586216 73.7976539 0.63864171

10 74.0135279 73.66467092 74.1774172 73.3874256 74.5332382 73.955256 0.4454451811 74.9767798 74.24563409 74.8955893 73.5867391 74.5446113 74.4498707 0.5639110812 72.9551487 75.51358872 73.7175377 74.3401632 74.4216765 74.189623 0.9455405513 74.2222627 74.12265711 74.1584495 74.020303 74.9140376 74.287542 0.3577801914 73.1343022 74.1680801 74.0996984 73.6298473 74.6191831 73.9302222 0.5664978815 73.8206035 73.54521211 73.5241892 74.0542501 73.8451658 73.7578841 0.2231744416 74.2458101 74.28186001 74.7745622 74.4702392 74.3235906 74.4192124 0.2161913617 73.8073882 74.71400845 74.7014205 74.0816577 72.7991043 74.0207158 0.7882846718 73.2748753 73.91659872 74.0120353 73.8967714 74.0712171 73.8342995 0.3206833819 73.5663214 73.79871676 74.0614196 74.0334067 74.1535989 73.9226927 0.2383227820 73.1268169 74.25377325 73.9921791 73.7238486 73.0837308 73.6360697 0.5197339221 73.7950701 73.4721818 73.69263 73.6410996 73.3611618 73.5924287 0.1742242822 73.9094929 74.44987759 73.7496311 74.4304781 74.2535899 74.1586139 0.3150767423 73.1865706 74.01795764 74.0690749 74.3621644 74.4706799 74.0212895 0.5042810824 74.8810666 73.30401524 74.3342318 73.1753819 73.5165584 73.8422508 0.7351310825 73.4201119 73.87021553 73.6861243 74.3233145 74.3332652 73.9266063 0.40009276

MAX 75.51 R 2.71448445 73.9952812 0.45248194MIN 72.79910427 K 45 73.9952812 0.50023241

h 0.06032188H CORREGID 0.063

n° CLASE 15INTERVALOS 3

Clase Frecuencia72.80 172.86 072.93 072.99 173.05 273.11 173.18 473.24 173.30 173.37 273.43 273.49 273.56 473.62 373.68 773.74 873.81 573.87 673.93 474.00 974.06 774.12 974.19 774.25 374.31 374.37 8

74.44 374.50 374.56 474.63 174.69 174.75 474.82 274.88 074.94 375.00 275.07 075.13 175.19 075.26 075.32 075.38 075.45 075.51 075.57 1

y mayor... 0

R Xe Ne Nk Xwk1.05481655

1

A 72.80 1

1 72.799100.43616773 B 72.86 00.88352188 C 72.93 01.44766932

2

A 72.99 1

4 73.051.80968023 B 73.05 20.29784138 C 73.11 11.29469916

3

A 73.18 3

6 73.221.37624381 B 73.24 21.70882778 C 73.30 11.14581255

4

A 73.37 1

6 73.451.39004067 B 73.43 22.55844001 C 73.49 30.89373456

5

A 73.56 3

14 73.641.48488088 B 73.62 40.53006093 C 73.68 70.52875216

6

A 73.74 8

19 73.811.91490418 B 73.81 3

0.7963418 C 73.87 80.58727758

7

A 73.93 3

19 74.021.17004244 B 74.00 60.43390829 C 74.06 100.70024654

8

A 74.12 8

18 74.171.28410929 B 74.19 51.70568471 C 74.25 50.91315328

9

A 74.31 5

13 74.351.13387431 B 74.37 7

C 74.44 1

10

A 74.50 6

10 74.53B 74.56 3C 74.63 1

11

A 74.69 1

7 74.76B 74.75 4C 74.82 2

12

A 74.88 1

4 74.94B 74.94 2C 75.00 1

13

A 75.07 2

3 75.09B 75.13 1C 75.19 0

14

A 75.26 0

0 0.00B 75.32 0C 75.38 0

15

A 75.45 0

1 75.57B 75.51 0

15 C 75.57 1 1 75.57125

NkXwK D2K Nk*D2k s

72.80 1.552 1.55223691

0.50167909

292.20 0.988 3.95125343

439.31 0.682 4.09254593

440.70 0.354 2.1233504

1030.91 0.167 2.34065155

1402.33 0.057 1.07522331

1406.37 0.001 0.01252732

1335.14 0.017 0.30238687

966.61 0.096 1.24710369

745.32 0.237 2.36791239

523.33 0.513 3.58971478

299.76 0.803 3.21206687como se comprueba la gráfica muestra que los datos no tienen una distribucion normal lo cuial es corroborado con la prueba normalidad hecha en el minitab (P<0.005)

225.26 1.088 3.26424793

0.00 5482.661 0

75.57 2.329 2.32901784

72.79910

73.05110

73.21910

73.45010

73.63610

73.80710

74.01931

74.17460

74.35472

74.53160

74.76110

74.94110

75.08810

0.00000

75.571100

2

4

6

8

10

12

14

16

18

20

75.57 2.329 2.32901784

0.50167909

74.04 31.4602392

como se comprueba la gráfica muestra que los datos no tienen una distribucion normal lo cuial es corroborado con la prueba normalidad

72.79910

73.05110

73.21910

73.45010

73.63610

73.80710

74.01931

74.17460

74.35472

74.53160

74.76110

74.94110

75.08810

0.00000

75.571100

2

4

6

8

10

12

14

16

18

20

limitesX1 X2 X3 X4 X5 inf.

1 74.6817391 73.9943431 74.1825879 74.079516552 73.6269226 72.802 73.5066021 73.9427698 73.5611247 73.721725184 73.7761893 72.983 74.1107524 73.6269668 73.9374689 74.015822646 74.5104887 73.174 75.0926636 73.6449943 74.3451283 74.175050516 73.8098436 73.355 74.0994942 74.7997937 74.3337659 74.707346875 72.9901135 73.546 73.7114417 73.9832532 73.6854119 73.946096185 73.8183749 73.727 75.0008859 73.7697082 73.9420586 73.706186766 74.4151992 73.918 74.5329282 73.6575696 74.121309 73.978674187 73.1566844 74.099 73.035 73.4392375 73.8115827 74.743827746 73.9586216 74.28

10 74.0135279 73.6646709 74.1774172 73.38742561 74.5332382 74.4611 74.9767798 74.2456341 74.8955893 73.586739085 74.5446113 74.6512 72.9551487 75.5135887 73.7175377 74.340163199 74.4216765 74.8313 74.2222627 74.1226571 74.1584495 74.020302996 74.9140376 75.0214 73.1343022 74.1680801 74.0996984 73.629847307 74.6191831 75.2015 73.8206035 73.5452121 73.5241892 74.054250117 73.8451658 75.3916 74.2458101 74.28186 74.7745622 74.470239202 74.323590617 73.8073882 74.7140084 74.7014205 74.081657698 72.799104318 73.2748753 73.9165987 74.0120353 73.896771429 74.071217119 73.5663214 73.7987168 74.0614196 74.033406706 74.153598920 73.1268169 74.2537732 73.9921791 73.723848645 73.083730821 73.7950701 73.4721818 73.69263 73.641099644 73.361161822 73.9094929 74.4498776 73.7496311 74.430478136 74.253589923 73.1865706 74.0179576 74.0690749 74.362164425 74.470679924 74.8810666 73.3040152 74.3342318 73.175381909 73.516558425 73.4201119 73.8702155 73.6861243 74.323314467 74.3332652

MAX 75.51 R 2.7145MIN ### K 15

H 0.18096563030.185

se 0.49333333xe 74so 0.50050703xo 73.9971643

Clase Frecuencia72.98 273.17 673.35 473.54 873.72 1973.91 1374.09 2374.28 1674.46 1374.65 774.83 775.02 575.20 175.39 075.57 1

y mayor... 0

limitessup. fk xmk frk frk*xmk

72.98 2 72.89 0.016 1.16626567 1.22226291 0.0195562173.17 6 73.08 0.048 3.507677 0.84743071 0.0406766773.35 4 73.26 0.032 2.34437134 0.54104851 0.0173135573.54 8 73.45 0.064 4.70058267 0.30311631 0.0193994473.72 19 73.63 0.152 11.1920038 0.13363411 0.0203123973.91 13 73.82 0.104 7.67692684 0.03260191 0.003390674.09 23 74.00 0.184 13.6162952 1.97136E-05 3.6273E-0674.28 16 74.19 0.128 9.49588535 0.03588751 0.004593674.46 13 74.37 0.104 7.73464684 0.14020531 0.0145813574.65 7 74.56 0.056 4.17516984 0.31297311 0.0175264974.83 7 74.74 0.056 4.18552984 0.55419091 0.0310346975.02 5 74.93 0.04 2.99706417 0.86385871 0.0345543575.20 1 75.11 0.008 0.60089283 1.24197651 0.0099358175.39 0 75.30 0 0 1.68854431 075.57 1 75.48 0.008 0.60385283 2.20356211 0.0176285

125 73.9971643 0.25050729

d2k frk*d2

k

72.50 73.00 73.50 74.00 74.50 75.00 75.50 76.000

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

Xmk vs FreXmk vs Frt

Frecuencia especifica Frecuencia teoricaσ fre fke frt fkt xi^2 ρ

0.50050703

0.064809256 1.510550499 0.06950334 1.62153304 0.08833446

-0.00566571

0.140283653 3.269680231 0.146866074 3.42642802 1.932996310.263818009 6.148973944 0.270709053 6.31572058 0.849081550.431051488 10.04679087 0.435260803 10.1547605 0.457223280.611901048 14.26196646 0.610466478 14.2423596 1.589283130.754676078 17.58971478 0.74686063 17.4244747 1.123475840.808662509 18.84801082 0.797044916 18.5952886 1.043354730.752837723 17.54686708 0.741978822 17.3105807 0.099223810.608923556 14.19256815 0.602512008 14.0567796 0.0794480.427909093 9.973549073 0.426781306 9.95693141 0.87812630.261256795 6.089278087 0.263700257 6.15220333 0.116829560.138583336 3.230049855 0.14212851 3.31589927 0.855332150.063867772 1.488606742 0.066821671 1.55896894 0.200418540.025572893 0.596043665 0.027404315 0.6393506 0.63935060.008896216 0.207349747 0.009803611 0.22872107 2.600858685.363049425 5.357841794

72.50 73.00 73.50 74.00 74.50 75.00 75.50 76.000

2

4

6

8

10

12

14

16

18

20

Xmk vs fkeXmk vs Fkt