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Apéndice de tablas737xTabla A.1 Probabilidades binomiales acumuladas (cont.) B(x; n, p) = I b(y; n, p)
y=od.n=20
p0.01
0.050.100.200.250.300.400.500.600.70 0.75 0.80 0:90 0.95 0.99
O 0.818 0.358 0.122 0.012 0.003 0.001
0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0001
0.983 0.736 0.392 0.069 0.024 0.008 0.0010.000 0.000 0.000 0.000 0.000 0.000 p.OOO0.0002 0.999 0.925 0.677 0.206 0.091 0.035 0.004 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0003
1.000 0.984 0.867 0.4110.225 0.107 0.016 0.0010.000 0.000 0.000 0.000 0.000 0.000 0.0004
1.000 0.997 0.957 0.630 0.415 0.238 0.0510.006 0.000 0.000 0.000 0.000 0.000 0.000 0.000
5
1.0001.000 0.989 0.804 0.617 0.416 0.126 0.0210.002 0.000 0.000 0.000 0.000 0.000 0.0006
1.000 1.000 0.998 0.913 0.786 0.608 0.250 0.058 0.006 0.000 0.000 0.000 0.000 0.000 0.0007
1.000 1.000 1.000 0.968 0.898 0.772 0.416 0.132 0.021 0.001 0.000 0.000 0.000 0.000 0.0008
1.0001.000 1.000 0.990 0.959 0.887 0.596 0.252 0.057 0.005 0.001 0.000 0.000 0.000 0.000'9
1.0001.000 1.000 0.997 0.986 0.952, 0.755 0.412 0.128 0.017 0.004 0.001 0.000 0.000 0.000x 101.0001.000 1.000 0.999 0.996 0.983 0.872 0.588 0.245 0.048 0.014 0.003 0.000 0.000 0.000
111.0001.0001.0001.000 0.999 0.995 0.943 0.7480.404 0.113 0.041 0.010 0.000 0.000 0.000
121.0001.000 1.0001.0001.000 0.999 0.979 0.868 0.584 0.228 0.102 0.032 0.000 0.000 0.000
131.0001.0001.0001.0001.0001.000 0.994 0.942 0.750 0.392 0.214 0.087 0.002 0.000 0.000
141.0001.0001.0001.0001.0001.000 0.998 0.979 0.874 0.584 0.383 0.196 0.011 0.000 0.000
15
1.0001.0001.000 1.0001.0001.0001.000 0.994 0.949 0.762 0.585 0.370 0.043 0.003 0.00016
1.0001.0001.0001.0001.0001.0001.000 0.999 0.984 0.893 0.775 0.589 0.133 0.016 0.00017
1.0001.0001.000 1.0001.0001.0001.000 1.000 0.996 0.965 0.909 0.794 0.323 0.075 0.00118
1.0001.0001.0001.0001.0001.0001.0001.000 0.999 0.992 0.976 0.931 0.608 0.264 0.01719
1.0001.0001.0001.0001.0001.0001.0001.0001.000 0.999 0.997 0.988 0.878 0.642 0.182
(continÚa)
738 Apéndice de tablas
x
Tabla A.1 Probabilidades binomiales acumuladas (cont.) B(x; n, p) = I b(y; n, p)y~O
e.n=25
p0.01
0.050.100.200.250.300.400.500.600.700.750.800.900.950.99
o 0.778 0.277 0.072 0.004 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0001 0.974 0.642 0.271 0.027 0.007 0.002 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0002 0.998 0.873 0.537 0.098 0.032 0.009 0.000 0.000 0.000 0.000' 0.000 0.000 0.000 0.000 0.0003
1.000 0.966 0.764 0.234 0.096 0.033 0.002 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0004 1.000 0.993 0.902 0.421 0.214 0.090 0.009 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0005
1.000 0.999 0.967 0.617 0.378 0.193 0.029 0.002 0.000 0.000 0.000 0.000 0.000 0.000 0.0006 1.000 1.000 0.991 0.780 0.561 0.341 0.074 0.007 0.000 0.000 0.000 0.000 0.000 0.000 0.0007
1.000 1.000 0.998 0.891 0.727 0.512 0.154 0.022 0.001 0.000 0.000 0.000 0.000 0.000 0.0008
1.000 1.000 1.000 0.953 0.851 0.677 0.274 0.054 0.004 0.000 0.000 0.000 0.000 0.000 0.0009
1.000 1.000 1.000 0.983 0.929 0.811 0.425 0.115 0.013 0.000 0.000 0.000 0.000 0.000 0.000
10 1.000 1.000 1.000 0.994 0.970 0.902 0.586 0.212 0.034 0:002 0.000 0.000 0.000 0.000 0.000111.000 1.000 1.000 0.998 0.980 0.956 0.732 0.345 0.078 0.006 0.001 0.000 0.000 0.000 0.000
x
12 1.000 1.000 1.000 1.000 0.997 0.983 0.846 0.500 0.154 0.017 0.003 0.000 0.000 0.000 0.00013
1.000 1.000 1.000 1.000 0.999 0.994 0.922 0.655 0.268 0.044 0.020 0.002 0.000 0.000 0.00014 1.000 1.000 1.000 1.000 1.000 0.998 0.966 0.788 0.414 0.098 0.030 0.006 0.000 0.000 0.00015
1.000 1.000 1.000 1.000 1.000' 1.000 0.987 0.885 0.575 0.189 0.071 0.017 0.000 0.000 0.00016 1.000 1.000 1.000 1.000 1.000 1.000 0.996 0.946 0.726 0.323 0.149 0.047 0.000 0.000 0.00017
1.000 1.000 1.000 1.000 1.000 1.000 0.999 0.978 0.846 0.488 0.273 0.109 0.002 0.000 0.00018
1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.993 0.926 0.659 0.439 0.220 0.009 0.000 0.00019 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.998 0.971 0.807 0.622 0.383 0.033 0.001 0.00020 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.991
0.910 0.786 0.579 0.098 0.007 0.00021
1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.998 0.967 0.904 0.766 0.236 0.034 0.00022 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.991 0.968 0.902 0.463 0.127 0.00223
1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.998 0.993 0.973 0.729 0.358 0.026
24 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.999 0.~6 0.928 0.723 0.222
Tabla A.2 Probabilidades de Poisson acumuladasx
F(x; A) = I e-'Wy=O y!
Á
0.1
0.20.30.40.50.60.70.80.91.0
O
0.9050.8190.7410.6700.6070.5490.4970.4490.4070.3681
0.9950.9820.9630.9380.9100.8780.8440.8090.7720.7362
1.0000.9990.9960.9920.9860.9770.9660.9530.9370.920x
3 1.0001.0000.9990.9980.9970.9940.9910.9870.9814
1.0001.0001.0000.9990.9990.9980.9965
1.0001.0001.0000.9996
1.000
(continúa)
Apénaice de tablas739
Tabla A.2
Probabilidades de Poisson acumuladas (cont.)x e-AAy
F(x; A) = I -,-y=o y.
Á2.0
3.04.05.06.07.08.09.010.015.020.0
O
0.1350.0500.0180.0070.0020.0010.0000.0000.0000.0000.0001
0.4060.1990.0920.0400.0170.0070.0030.0010.0000.0000.0002
0.6770.4230.2380.1250.0620.0300.0140.0060.0030.0000.0003
0.8570.6470.4330.2650.1510.0820.0420.0210.0100.0000.0004
0.9470.8150.6290.4400.2850.1730.1000.0550.0290.0010.000
5
0.9830.9160.7850.6160.4460.3010.1910.1160.0670.0030.000
6
0.9950.9660.8890.7620.6060.4500.3130.2070.1300.0080.0007
0.9990.9880.9490.8670.7440.5990.4530.3240.2200.0180.001
81.0000.9960.9790.9320.8470.7290.5930.4560.3330.0370.002
90.9990.9920.9680.9160.8300.7170.5870.4580.0700.005
10
1.0000.9970.9860.9570.9010.8160.7060.5830.1180.01111
0.9990.9950.9800.9470.8880.8030.6970.1850.021
121.0000.9980.9910.9730.9360.8760.7920.2680.039
130.9990.9960.9870.9660.9260.8640.3630.066
141.0000.9990.9940.9830.9590.9170.4660.105
15
0.9990.9980.9920.9780.9510.5680.15716
1.0000.9990.9960.9890.9730.6640.22117
1.0000.9980.9950.9860.7490.29718
0.9990.9980.9930.8190.381x 19 1.0000.9990.9970.8750.470
20
1.0000.9980.9170.55921
0.9990.9470.64422
1.0000.9670.72123
0.9810.78724
"0.9890.843
25
0.9940.88826
0.9970.92227
0.9980.94828
0.9990.96629
1.0000.978
30
0.98731
0.99232
0.99533
0.99734
0.999
35
0.99936
1.000
740 Apéndice de tablas
Tabla A.3 Áreas de la curva normal estándar <P(z) = pez :5 z)
Función nonnal estándar de la densidad
z
z
0.000.010.020.030.040.050.060.070.080.09
-3.4
0.00030.00030.00030.00030.00030.00030.00030.00030.00030.0002
-3.30.00050.00050.00050.00040.00040.00040.00040.00040.00040.0003
-3.2
0.00070.00070.00060.00060.00060.00060.00060.00050.00050.0005-3.1
0.00100.00090.00090.00090.00080.00080.00080.00080.00070.0007
-3.0
0.00130.00130.00130.00120.00120.00110.00110.00110.00100.0010
-2.9
0.00190.00180.00170.00170.00160.00160.00150.00150.00140.0014-2.8
0.00260.00250.00240.00230.00230.00220.00210.00210.00200.0019-2.7
0.00350.00340.00330.00320.00310.00300.00290.00280.00270.0026
-2.6
0.00470.00450.00440.00430.00410.00400.00390.00380.00370.0036
-2.5
0.00620.00600.00590.00570.00550.00540.00520.00510.00490.0038
-2.4
0.00820.00800.00780.00750.00730.00710.00690.00680.00660.0064-2.3
0.01070.01040.01020.0099 .0.00960.00940.0091. 0.00890.00870.0084-2.2
0.01390.01360.01320.01290.01250.01220.01190.01160.01130.0110-2.1
0.01790.01740.01700.01660.01620.01580.01540.01500.01460.0143
-2.0
0.02280.02220.02170.02120.02070.02020.01970.01920.01880.0183
-1.9
0.02870.02810.02740.02680.02620.02560.02500.02440.02390.0233-1.8
0.03590.03520.03440.03360.03290.03220.03140.03070.03010.0294
-;-1.7
0.04460.04360.04270.04180.04090.04010.03920.03840.03750.0367-1.6
0.05480.05370.05260.05160.05050.04950.04850.04750.04650.0455-1.5
0.06680.06550.06430.06300.06180.06060.05940.05820.05710.0559
-1.4
0.08080.07930.07780.07640.07490.07350.07220.07080.~6940.0681
-.1.30.09680.09510.09340.09180.09010.08850.08690.08530.08380.0823
-1.20.11510.11310.11120.10930.10750.10560.10380.10200.10030.0985
-1.10.13570.13350.13140.12920.12710.12510.12300.12100.11900.1170
-1.00.15870.15620.15390.15150.14920.14690.14460.14230.14010.1379
-0.9
0.18410.18140.17880.17620.17360.17110.16850.16600.16350.1611-0.8
0.21190.20900.20610.20330.20050.19770.19490.19220.18940.1867-0.7
0.24200.23890.23580.23270.22960.22660.22360.22060.21770.2148-0.6
0.27430.27090.26760.26430.26110.25780.25460.25140.24830.2451-0.5
0.30850.30500.30150.29810.29460.29120.28770.28430.28100.2776
-0.4
0.34460.34090.33720.33360.33000.32640.32280.31920.31560.3121-0.3
0.38210.37830.37450.37070.36690.36320.35940.35570.35200.3482-0.2
0.42070.41680.41290.40900.40520.40130.39740.39360.38970.3859-0.1
0.46020.45620.45220.44830.44430.44040.43640.43250.42860.4247-0.0
0.50000.49600.49200.48800.48400.48010.47610.47210.46810.4641
(continúa)
Apéndice de tablas741
Tabla A.3
Areas de la curva normal estándar (cant.) <l>(z) = P(Z ::s; z)
-
0.000.010.020.030.040.050.060.070.080.09-r·,.O
0.50000.50400.50800.51200.51600.51990.52390.52790.53190.5359
.1
0.53980.54380.54780.55170.55570.55960.56360.56750.57140.5753
~t20.57930.58320.58710.59100.59480.59870.60260.60640.61030.6141
:)30.61790.62170.62550.62930.63310.63680.64060.64430.64800.6517
DA0.65540.65910.66280.66640.67000.67360.67720.68080.68440.6879
3..5
0.69150.69500.69850.70190.70540.70880.71230.71570.71900.7224
0.6
0.72570.72910.73240.73570.73890.74220.74540.74860.75170.7549
0.7
0.75800.76110.76420.76730.77040.77340.77640.77940.78230.7852
0.8
0.78810.79100.79390.79670.79950.80230.80510.80780.81060.8133
0.9
0.81590.81860.82120.82380.82640.82890.83150.83400.83650.8389
1.0
0.84130.84380.84610.84850.85080.85310.85540.85770.85990.8621
1.1
0.86430.86650.86860.87080.87290.87490.87700.87900.88100.8830
1.2
0.88490.88690.88880.89070.89250.89440.89620.89800.89970.9015
1.3
0.90320.90490.90660.90820.90990.91150.91310.91470.91620.91771.4
0.91920.92070.92220.92360.92510.92650.92780.92920.93060.9319
1.5
0.93320.93450.93570.93700.93820.93940.94060.94180.94290.9441
1.6
0.94520.94630.94740.94840.94950.95050.95150.95250.95350.9545
1.7
0.95540.95640.95730.95820.95910.95990.96080.96160.96250.9633
1.8
0.96410.96490.96560.96640.96710.96780.96860.96930.96990.9706
1.9
0.97130.97190.97260.97320.97380.97440.97500.97560.97610.9767
2.0
0.97720.97780.97830.97880.97930.97980.98030.98080.98120.98172.1
0.98210.98260.98300.98340.98380.98420.98460.98500.98540.98572.2
0.98610.98640.98680.98710.98750.98780.98810.98840.98870.98902.3
0.98930.98960.98980.99010.99040.99060.99090.99110.99130.99162.4
0.99180.99200.99220.99250.99270.99290.99310.99320.99340.9936
2.5
0.99380.99400.99410.99430.99450.99460.99480.99490.99510.99522.6
0.99530.99550.99560.99570.99590.99600.99610.99620.99630.99642.7
0.99650.99660.99670.99680.99690.99700.99710.99720.99730.99742.8
0.99740.99750.99760.99770.99770.99780.99790.9979'0.99800.99812.9
0.99810.99820.99820.99830.99840.99840.99850.99850.99860.9986
3.0
0.99870.99870.99870.99880.99880.99890.99890.99890.99900.99903.1
0.99900.99910.99910.99910.99920.99920.99920.99920.99930.99933.2
0.99930.99930.99940.99940.99940.99940.99940.99950.99950.99953.3
0.99950.99950.99950.99960.99960.99960.99960.99960.99960.99973.4
0.99970.99970.99970.99970.99970.99970.99970.99970.99970.9998
Tabla A.5 Valores críticos para la distribución
a
Apéndice de tablas 7~
tv curva de la densidad;/
O ta•v
1234
56789
1011
12
1314
1516
1718
19
202122
2324
2526
272829
30
32343638
4050
60
120
0.10
3.078
1.8861.638
1.533
1.4761.4401.4151.3971.383
1.3721.3631.3561.350
1.345
1.3411.3371.3331.330
1.328
1.3251.3231.3211.3191.318
1.3161.3151.3141.313 1.311
1.310
1.3091.3071.3061.304
1.3031.2991.2961.2891.282
0.05
6.3142.9202.353
2.132
2.0151.9431.8951.8601.833
1.8121.7961.7821.771
1.761
1.7531.7461.7401.734
1.729
1.725
1.7211.7171.7141.711
1.7081.7061.7031.701
1.699
1.697
1.6941.6911.6881.686
1.6841.6761.6711.6581.645
0.025
12.7064.3033.182
2.776
2.5712.4472.3652.3062.262
2.2282.2012.1792.1602.145
2.1312.120
2.1102.1012.093
2.0862.0802.074
2.0692.064
2.0602.0562.0522.048
2.045
2.042
2.0372.032
2.0282.024
2.021
2.0092.0001.9801.960
0.01
31.8216.9654.541
3.747
3.3653.1432.9982.8962.821
2.7642.718
2.6812.6502.624
2.6022.583
2.5672.5522.539
2.528
2.5182.5082.500
2.492
2.4852.479
2.4732.4672.462
2.4572.4492.441
2.4342.429
2.4232.4032.3902.358
2.326
0.005
63.6579.9255.841
4.604
4.0323.7073.4993.3553.250
3.1693.1063.0553.0122.977
2.947
2.9212.8982.8782.861
2.8452.8312.8192.8072.797
2.7872.7792.771
2.7632.756
2.7502.738
2.7282.7192.712
2.7042.6782.6602.6172.576
0.001
318.3122.32610.2137.173
5.8935.2084.7854.5014.297
4.1444.025
3.9303.8523.787
3.733
3.6863.6463.6103.579
3.5523.527
3.5053.4853.467
3.4503.4353.4213.408
3.396
3.3853.3653.3483.3333.319
3.307
3.2623.2323.1603.090
0.0005
636.6231.59812.924
8.610
6.869
5.9595.4085.0414.781
4.5874.437
4.3184.2214.140
4.0734.0153.9653.9223.883
3.8503.819
3.7923.7673.745
3.7253.7073.6903.674
3.659
3.6463.622
3.6013.5823.566
3.5513.4963.4603.3733.291
- 745
746 Apéndice de tablas
Tabla A.S Áreas de cola de la curva t
~curva t Área a la derecha
de t
I IO t
t"-. p 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
0.0 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.5000.1 0.468 0.465 0.463 0.463 0.462. 0.462 0.462 0.461 0.461 0.461 0.461 0.461 0.461 0.461 0.461 0.461 0.461 0.4610.2 0.437 0.430 0.427 0.426 0.425 0.424 0.424 0.423 0.423 0.423 0.423 0.422 0.422 0.422 0.422 0.422 0.422 0.4220.3 0.407 0.396 0.392 0.390 0.388 0.387 0.386 0.386 0.386 0.385 0.385 0.385 0.384 0.384 0.384 0.384 0.384 0.3840.4 0.379 0.364 0.358 0.355 0.353 0.352 0.351 0.350 0.349 0.349 0.348 0.348 0.348 0.347 0.347 0.347 0.347 0.3470.5 0.352 0.333 0.326 0.3220.319 0.3170.316 0.315 0.315 0.314 0.313 0.313 0.313 0.312 0.312 0.312 0.312 0.312
0.6 0.328 0.305 0.295 0.290 0.287 0.285 0.284 0.283 0.282 0.281 0.280 0.280 0.279 0.279 0.279 0.278 0.278 0.2780.7 0.306 0.278 0.267 0.261 0.258 0.255 0.253 0.252 0.251 0.250 0.249 0.249 0.248 0.247 0.247 0.247 0.247 0.2460.8 0.285 0.254 0.241 0.234 0.230 0.227 0.225 0.223 0.222 0.221 0.220 0.220 0.219 0.218 0.218 0.218 0.217 0.217
0.9 0.267 0.2,32 0.217 0.210 0.205 0.2010.199 0.197 0.196 0.195 0.194 0.193 0.192 0.191 0.191 0.191 0.190 0.1901.0 0.250 0.211 0.196 0.187 0.182 0.178 0.175 0.173 0.172 0.170 0.169 0.169 0.168 0.167 0.167 0.166 0.166 0.165
1.1 0.235 0.193 0.176 0.167 0.162 0.1570.1540.152 0.150 0.149 0.147 0.146 0.146 0.144 0.144 0.144 0.143 0.1431.2 0.221 0.177 0.158 0.1480.142 0.1380.135 0.132 0.130 0.1290.128 0.127 0.126 0.124 0.124 0.124 0.123 0.1231.3 0.2090.1620.142 0.1320.125 0.1210.117 0.115 0.113 0.111 0.110 0.109 0.108 0.107 0.107 0.106 0.105 0.1051.4 0.1970.148 0.128 0.117 0.110 0.1060.1020.100 0.098 0.096 0.095 0.093 0.092 0.091 0.091 0.090 0.090 0.0891.5 0.187 0.136 0.115 0.104 0.097 0.0920.089 0.086 0.084 0.082 0.081 0.080 0.079 0.077 0.077 0.077 0.076 0.075
1.6 0.178 0.125 0.104 0.0920.085 0.0800.077 0.074 0.072 0.070 0.069 0.068 0.067 0.065 0.065 0.065 0.064 0.064
1.7 0.169 0.116 0.094 0.082 0.075 0.0700.065 0.064 0.062 0.060 0.059 0.057 0.056 0.055 0.055 0.054 0.054 0.0531.8 0.161 0.107 0.085 0.073 0.066 0.061 0.057 0.055 0.053 0.051 0.050 0.049 0.048 0.046 0.046 0.045 0.045 0.0441.9 0.154 0.099 0.077 0.065 0.058 0.053 0.050 0.047 0.045 0.043 0.042 0.041 0.040 0.038 0.038 0.038 0.037 0.0372.0 0.148 0.092 0.070 0.058 0.051 0.0460.043 0.040 0.038 0.037 0.035 0.034 0.033 0.032 0.032 0.031 0.031 0.030
2.1 0.141 0.085 0.063 0.052 0.045 0.0400.037 0.034 0.033 0.031 0.030 0.029 0.028 0.027 0.027 0.026 0.025 0.0252.2 0.136 0.079 0.058 0.046 0.040 0.035 0.032 0.029 0.028 0.026 0.025 0.024 0.023 0.022 )).022 0.021 0.021 0.021
2.3 0.131 0.074 0.052 0.041 0.035 0.031 0.027 0.025 0.023 0.022 0.021 0.020 0.019 0.018 0.018 0.018 0.017 0.0172.4 0.126 0.069 0.048 0.037 0.031 0.027 0.024 0.022 0.020 0.019 0.018 0.017 0.016 0.015 0.015 0.014 0.014 0.0142.5 0.121 0.065 0.044 0.033 0.027 0.023 0.020 0.018 0.017 0.016 0.015 0.014 0.013 0.012 0.012 0.012 0.011 0.011
2.6 0.117 0.061 0.040 0.030 0.024 0.0200.018 0.016 0.014 0.013 0.012 0.012 0.011 0.010 0.010 0.010 0.009 0.009
2.7 0.113 0.057 0.037 0.0270.021 0.0180.015 0.0140.012 0.011 0.010 0.010 0.009 0.008 0.008 0.008 0.008 0.0072.8 0.109 0.054 0.034 0.024 0.019 0.0160.013 0.012 0.010 0.009 0.009 0.008 0.008 0.007 0.007 0.006 0.006 0.0062.9 0.106 0.051 0.031 0.022 0.017 0.014 0.011 0.010 0.009 0.008 0.007 0.007 0.006 0.005 0.005 0.005 0.005 0.0053.0 0.102 0.048 0.029 0.020 0.015 0.012 0.010 0.009 0.007 0.007 0.006 0.006 0.005 0.004 0.004 0.004 0.004 0.004
3.1 0.099 0.045 0.027 0.018 0.013 0.011 0.009 0.007 0.006 0.006 0.005 0.005 0.004 0.004 0.004 0.003 0.003 0.0033.2 0.096 0.043 0.025 0.016 0.012 0.009 0.008 0.006 0.005 0.005 0.004 0.004 0.003 0.003 0.003 0.003 0.003 0.0023.3 0.094 0.040 0.023 0.015 0.011 0.008 0.007 0.005 0.005 0.004 0.004 0.003 0.003 0.002 0.002 0.002 0.002 0.0023.4 0.091 0.038 0.021 0.014 0.010 0.007 0.006 0.005 0.004 0.003 0.003 0.003 0.002 0.002 0.002 0.002 0.002 0.002
3.5 0.089 0.036 0.020 0.012 0.009 0.006 0.005 0.004 0.003 0.003 0.002 0.002 0.002 0.002 0.002 0.001 0.001 0.001
3.6 0.086 0.035 0.018 0.011 0.008 0.006 0.004 0.004 0.003 0.002 0.002 0.002 0.002 0.001 0.001 0.001 0.001 0.0013.7 0.084 0.033 0.017 0.D10 0.007 0.005 0.004 0.003 0.002 0.002 0.002 0.002 0.001 0.001 0.001 0.001 0.001 0.0013.8 0.082 0.031 0.016 0.010 0.006 0.0040.003 0.003 0.002 0.002 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.0013.9 0.080 0.030 0.015 0.009 0.006 0.004 0.003 0.002 0.002 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001
4.0 0.078 0.029 0.014 0.008 0.005 0.004 0.003 0.002 0.002 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.000 0.000
(continúa)
Apéndice de tablas 747
Tabla A.S Áreas de cola de la curva t (cant.)
~curva t Área a la derecha
"" de t
I IO t
p 19 20 21 22 23 24 25 26 27 28 29 30 35 40 60 120 00(= z)
0.0 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.500 0.5000.1 0.461 0.461 0.461 0.461 0.461 0.461 0.461 0.461 0.461 0.461 0.461 0.461 0.460 0.460 0.460 0.460 0.4600.2 0.422 0.422.0.422 0.422 0.422 0.422 0.422 0.422 0.421 0.421 0.421 0.421 0.421 0.421 0.421 0.421 0.4210.3 0.384 0.384 0.384 0.383 0.383 0.383 0.383 0.383 0.383 0.383 0.383 0.383 0.383 0.383 0.383 0.382 0.3820.4 0.347 0.347 0.347 0.347 0.346 0.346 0.346 0.346 0.346 0.346 0.346 0.346 0.346 0.346 0.345 0.345 0.3450.5 0.311 0.311 0.311 0.311 0.311 0.311 0.311 0.311 0.311 0.310 0.310 0.310 0.310 0.310 0.309 0.309 0.309
0.6 0.278 0.278 0.278 0.277 0.277 0.277 0.277 0.277 0.277 0.277 0.277 0.277 0.276 0.276 0.275 0.275 0.2740.7 0.246 0.246 0.246 0.246 0.245 0.245 0.245 0.245 0.245 0.245 0.245 0.245 0.244 0.244 0.243 0.243 0.2420.8 0.217 0.217 0.216 0.216 0.216 0.216 0.216 0.215 0.215 0.215 0.215 0.215 0.215 0.214 0.213 0.213 0.212
0.9 0.190 0.189 0.189 0.189 0.189 0.189 0.188 0.188 0.188 0.188 0.188 0.188 0.187 0.187 0.186 0.185 0.1841.0 0.165 0.165 0.164 0.164 0.164 0.164 0.163 0.163 0.163 0.163 0.163 0.163 0.162 0.162 0.161 0.160 0.159
1.1 0.143 0.142 0.142 0.142 0.141 0.141 0.141 0.141 0.141 0.140 0.140 0.140 0.139 0.139 0.138 0.137 0.1361.2 0.122 0.122 0.122 0.121 0.121 0.121 0.121 0.120 0.120 0.120 0.120 0.120 0.119 0.119 0.117 0.116 0.1151.3 0.105 0.104 0.104 0.104 0.103 0.103 0.103 0.103 0.102 0.102 0.102 0.102 0.101 0.101 0.099 0.098 0.0971.4 0.089 0.089 0.088 0.088 0.087 0.087 0.087 0.087 0.086 0.086 0.086 0.086 0.085 0.085 0.083 0.082 0.0811.5 0.075 0.075 0.074 0.074 0.074 0.073 0.073 0.073 .073 .072 0.072 0.072 0.071 0.071 0.069 0.068 0.067
1.6 0.063 0.063 0.062 0.062 0.062 0.061 0.061 0.061 0.061 0.060 0.060 0.060 0.059 0.059 0.057 0.056 0.0551.7 0.053 0.052 0.052 0.052 0.051 0.051 0.051 0.051 0.050 0.050 0.050 0.050 0.049 0.048 0.047 0.046 0.0451.8 0.044 0.043 0.043 0.043 0.042 0.042 0.042 0.042 0.042 0.041 0.041 0.041 0.040 0.040 0.038 0.037 0.0361.9 0.036 0.036 0.036 0.035 0.035 0.035 0.035 0.034 0.034 0.034 0.034 0.034 0.033 0.032 0.031 0.030 0.0292.0 0.030 0.030 0.029 0.029 0.029 0.028 0.028 0.028 0.028 0.028 0.027 0.027 0.027 0.026 0.025 0.024 0.023
2.1 0.025 0.024 0.024 0.024 0.023 0.023 0.023 0.023 0.023 0.022 0.022 0.022 0.022 0.021 0.020 0.019 0.0182.2 0.020 0.020 0.020 0.019 0.019 0.019 0.019 0.018 0.018 0.018 0.018 0.018 0.017 '{¡.017 0.016 0.015 0.0142.3 0.016 0.016 0.016 0.016 0.015 0.015 0.015 0.015 0.015 0.015 0.014 0.014 0.014 0.013 0.012 0.012 0.011
2.4 0.013 0.013 0.013 0.013 0.012 0.012 0.012 0.012 0.012 0.012 0.012 0.011 0.011 0.011 0.010 0.009 0.0082.5 0.011 0.011 0.010 0.010 0.010 0.010 0.010 0.010 0.009 0.009 0.009 0.009 0.009 0.008 0.008 0.007 0.006
2.6 0.009 0.009 0.008 0.008 0.008 0.008 0.008 0.008 0.007 0.007 0.007 0.007 0.007 0.007 0.006 0.005 0.0052.7 0.007 0.007 0.007 0.007 0.006 0.006 0.006 0.006 0.006 0.006 0.006 0.006 0.005 0.005 0.004 0.004 0.0032.8 0.006 0.006 0.005 0.005 0.005 0.005 0.005 0.005 0.005 0.005 0.005 0.004 0.004 0.004 0.003 0.003 0.0032.9 0.005 0.004 0.004 0.004 0.004 0.004 0.004 0.004 0.004 0.004 0.004 0.003 0.003 0.003 0.003 0.002 0.0023.0 0.004 0.004 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.002 0.002 0.002 0.002 0.001
3.1 0.003 0.003 0.003 0.003 0.003 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.001 0.001 0.001
3.2 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.002 0.001 0.001 0.001 0.001 0.0013.3 0.002 0.002 0.002 0.002 0.002 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.0003.4 0.002 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.000 0.000
3.5 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.000 0.000 0.000
3.6 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.0003.7 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0003.8 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0003.9 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
4.0 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
748 Apéndice de tablas
Tabla A.9
Valores críticos para la distribución de F
VI =grados de libertad del numeradora
1234S678'9
0.100
39.8649.5053.5955.8357.2458.2058.9159.4459.86
1 0.050
161.45199.50215.71224.58230.16233.99236.77238.88240.540.010
4052.24999.55403 .45624.65763.65859.05928.45981.16022.50.001
405284500000540379562500576405585937592873 .59.8144602284
0.100
8.539.009.169.249.299.339.359.379.38
2 0.050
18.5119.0019.1619.2519.3019.3319.3519.3719.380.010
98.5099.0099.1799.2599.3099.3399.3699.3799.390.001
998.50999.00999.17999.25999.30999.33999.36999.37999.39
0.100
5.545.465.395.345.315.285.275.255.24
3 0.050
10.139.559.289.129.018.948.898.858.810.010
34.1230.8229.4628.7128.2427.9127.6727.4927.350.001
167.03148.50141.11137.10134.58132.85131.58130.62129.86
0.100
4.544.324.194.114.054.013.983.953.94
4 0.050
7.716.946.596.396.266.166.096.046.000.010
21.2018.0016.6915.9815.5215.2114.9814.8014.660.001
74.1461.2556.1853.4451.7150.5349.6649.0048.47
"'"
0.1004.063.783.623.523.453.403.373.343.32
o S 0.0506.615.795.415.195.054.954.884.824.77"Q (\1
0.01016.2613.2712.0611.3910.9710.6710.4610.2910.16=·s
0.00147.1837.1233.2031.0929.7528.8328.1627.6527.24o 3.783.46 3.18 3.012.982.96= 0.100 3.293.113.05.~ "Q 6 0.050
5.995.144.764.534.394.284.214.154.10- ~ 0.01013.7510.929.789.158.758.478.268.107.98"Q"Q
0.00135.5127.0023.7021.9220.8020.0319.4619.0318.69S "'"
0.1003.593.263.072.962.882.832.782.752.72~ ª 7 0.0505.594.744.354.123.973.873.793.733.68
~0.01012.259.558.457.857.467.196.996.846.72"Q '"0.00129.2521.6918.7717.2016.2115.5215.02 '\14.6314.33o "Q 0.1003.463.112.922.812.732.672.622.592.56~
"'"
8 0.0505.324.464.073.843.69 3.50¡,¡¡ 3.583.443.39
11 ~0.01011.268.657.597.016.636.376.186.035.91
0.00125.4118.4915.8314.3913.4812.8612.4012.0511.77
0.100
3.363.012.812.692.612.552.512.472.44
9 0.050
5.124.263.863.633.483.373.293.233.180.010
10.568.026.996.426.065.805.615.475.350.001
22.8616.3913.9012.5611.7111.1310.7010.3710.11
0.1003.292.922.732.612.522.462.412.382.35
10 0.050
4.964.103.713.483.333.223.143.073.020.010
10.047.566.555.995.645.395.205.064.940.001
21.0414.9112.5511.2810.489.939.529.208.96
0.1003.232.862.662.542.452.392.342.302.27
11 0.050
4.843.983.593.363.203.093.012.952.900.010
9.657.216.225.675.325.074.894.744.630.001
19.6913.8111.5610.359.589.058.668.358.12
0.100
3.182.812.612.482.392.332.282.242.21
12 0.050
4.753.893.493.263.113.002.912.852.800.010
9.336.935.955.415.064.824.644.504.390.001
18.6412.9710.809.638.898.388.007.717.48
(continúa)
Apéndice de tablas749
Tabla A.9
Valores críticos para la distribución de F (cant.)
v, =grados de libertad del numerador10
1215202530405060120.1000
60.19
60.7161.2261.7462.0562.2662.5362.6962.7963.0663.30241.88
243.91245.95248.01249.26250.10251.14251. 77252.20253.25254.196055.8
6106.36157.36208.76239.86260.66286.86302.56313.06339.46362.7605621
610668615764620908624017626099628712630285631337633972636301
9.39
9.419.429.449.459.469.479.479.479.489.4919.40
19.4119.4319.4519.4619.4619.4719.4819.4819.4919.4999.40
99.4299.4399.4599.4699.4799.4799.4899.4899.4999.50999.40
999.42999.43999.45999.46999.47999.47999.48999.48999.49999.50
5.23
5.225.205.185.175.175.165.155.155.145.138.79
8.748.708.668.638.628.598.588.578.558.5327.23
27.0526.8726.6926.5826.5026.4126.3526.3226.2226.14129.25
128.32127.37126.42125.84. 125.45124.96124.66124.47123.97123.53
3.92
3.903.873.843.833.823.803.803.793.783.765.96
5.915.865.805.775.755.725.705.695.665.6314.55
14.3714.2014.0213.9113.8413.7513.6913.6513.5613.4748.05
47.4146.7646.1045.7045.4345.0944.8844.7544.4044.09
3.30
3.273.243.213.193.173.163.153.143.123.114.74
4.684.624.564.524.504.464.444.434.404.3710.05
9.899.729.559.459.389.299.249.209.119.0326.92
26.4225.9125.3925.0824.8724.6024.4424.3324.0623.82
2.94
2.902.872.842.812.802.782.772.762.742.724.06
4.003.943.873.833.813.773.753.743.703.677.87
7.727.567.407.307.237.147.097.066.976.8918.41
17.9917.5617.1216.8516.6716.4416.3116.2115.9815.77
2.70
2.672.632.592.572.562.542.522.512.492.473.64
3.573.513.443.403.383.343.323.303.273.236.62
6.476.316.166.065.995.915.865.825.745.6614.08
13.7113.3212.9312.6912.5312.3312.2012.1~11.9111.72
2.54
2.502.462.422.402.382.362.352.342.322.303.35
3.283.223.153.113.083.043.023.012.972.935.81
5.675.525.365.265.205.125.075.034.954.8711.54
11.1910.8410.4810.2610.119.929.809.739.539.36
2.42
2.382.342.302.272.252.232.222.212.182.163.14
3.073.012.942.892.862.832.802.792.752.715.26
5.114.964.814.714.654.574.524.484.404.329.89
9.579.248.908.698.558.378.268.198.007.84
2.32
2.282.242.202.172.162.132.122.112.082.062.98
2.912.852.772.732.702.662.642.622.582.544.85
4.714.564.414.314.254.174.124.084.003.928.75
8.458.137.807.607.477.307.197.126.946.78
2.25
2.212.172.122.102.082.052.042.032.001.982.85
2.792.722.652.602.572.532.512.492.452.414.54
4.404.254.104.013.943.863.813.783.693.617.92
7.637.327.016.816.686.526.426.356.186.02
2.19
2.152.102.062.032.011.991.971.961.931.912.75
2.692.622.542.502.472.432.402.382.342.304.30
4.164.013.863.763.703.623.573.543.453.377.29
7.006.716.406.226.095.935.835.765.595.44
(continúa)
Apéndice de tablas749
Tabla A.9
Valores críticos para la distribución de F (cant.)
VI =grados de libertad del numerador10
12152025304050601201000
60.19
60.7161.2261.7462.0562.2662.5362.6962.7963.0663.30241.88
243.91245.95248.01249.26250.10251.14251.77252.20253.25254.196055.8
6106.36157.36208.76239.86260.66286.86302.56313.06339.46362.7605621
610668615764620908624017626099628712630285631337633972636301
9.39
9.419.429.449.459.469.479.479.479.489.4919.40
19.4119.4319.4519.4619.4619.4719.4819.4819.4919.4999.40
99.4299.4399.4599.4699.4799.4799.4899.4899.4999.50999.40
999.42999.43999.45999.46999.47999.47999.48999.48999.49999.50
5.23
5.225.205.185.175.175.165.155.155.145.138.79
8.748.708.668.638.628.598.588.578.558.5327.23
27.0526.8726.6926.5826.5026.4126.3526.3226.2226.14129.25
128.32127.37126.42125.84125.45124.96124.66124.47123.97123.53
3.92
3.903.873.843.833.823.803.803.793.783.765.96
5.915.865.805.775.755.725.705.695.665.6314.55
14.3714.2014.0213.9113.8413.7513.6913.6513.5613.4748.05
47.4146.7646.1045.7045.4345.0944.8844.7544.4044.09
3.30
3.273.243.213.193.173.163.153.143.123.114.74
4.684.624.564.524.504.464.444.434.404.3710.05
9.899.729.559.459.389.299.249.209.119.03'26.92
26.4225.9125.3925.0824.8724.6024.4424.3324.0623.82
2.94
2.902.872.842.812.802.782.772.762.742.724.06
4.003.943.873.833.813.773.753.743.703.677.87
7.727.567.407.307.237.147.097.066.976.8918.41
17.9917.5617.1216.8516.6716.4416.3116.2115.9815.77
2.70
2.672.632.592.572.562.542.522.512.492.473.64
3.573.513.443.403.383.343.323.303.273.236.62
6.476.316.166.065.995.915.865.825.745.6614.08
13.7113.3212.9312.6912.5312.3312.2012.1211.9111.72
2.54
2.502.462.422.402.382.362.352.34 '\2.322.30
3.353.283.223.153.113.083.043.023.012.972.93
5.815.675.525.365.265.205.125.075.034.954.87
11.5411.1910.8410.4810.2610.119.929.809.739.539.36
2.42
2.382.342.302.272.252.232.222.212.182.163.14
3.073.012.942.892.862.832.802.792.752.715.26
5.114.964.814.714.654.574.524.484.404.329.89
9.579.248.908.698.558.378.268.198.007.84
2.32
2.282.242.202.172.162.132.122.112.082.062.98
2.912.852.772.732.702.662.642.622.582.544.85
4.714.564.414.314.254.174.124.084.003.928.75
8.458.137.807.607.477.307.197.126.946.78
2.25
2.212.172.122.102.082.052.042.032.001.982.85
2.192.722.652.602.572.532.512.492.452.414.54
~AO.!.254.104.013.943.863.813.783.693.617.92
7.63- '")7.016.816.686.526.426.356.186.02,..J_
2.192.15=.102.062.032.011.991.971.961.931.91
2.75'2.$:"6:2.542.502.472.432.402.382.342.30
4.30
t l'• n.3.863.763.703.623.573.543.453.37-_J.~ -:.-.-.7.29
7.00' -.6A()6.226.095.935.835.765.595.44U,. , .i
(continúa)
750 Apéndice de tablas
Tabla A.9
Valores críticos para la distribución de F (cant.)
VI =grados de libertad del numeradora
123456789
0.100
3.142.762.562.432.352.282.232.202.16
13
0.0504.673.813.413.183.032.922.832.772.71
0.0109.076.705.745.214.864.624.444.304.19
0.00117.8212.3110.219.078.357.867.497.216.98
0.100
3.102.732.522.392.312.242.192.152.12
14
0.0504.603.743.343.112.962.852.762.702.65
0.0108.866.515.565.044.694.464.284.144.03
0.00117.1411.789.738.627.927.447.086.806.58
0.100
3.072.702.492.362.272.212.162.122.09
15
0.0504.543.683.293.062.902.792.712.642.59
0.0108.686.365.424.894.564.324.144.003.89
0.00116.5911.349.34 '8.257.577.096.746.476.26
0.100
3.052.672.462.332.242.182.132.092.06
16
0.0504.493.633.243.012.852.742.662.592.54
0.0108.536.235.294.774.444.204.033.893.78
0.00116.1210.979.017.947.276.806.466.195.98
lo
0.1003.032.642.442.312.222.152.102.062.03
e0.0504.453.593.202.962.812.702.612.552.49'O 17C\I 0.0108.406.115.194.674.344.103.933.793.68=
·s0.00115.7210.668.737.687.026.566.225.965.75
e 0.100= 3.012.622.422.292.202.132.082.042.00
el,) 'O 0.0504.413.553.162.932.772.662.582.512.46a:¡
180.010 8.296.015.094.584.254.013.843.713.60'Q 'O
0.00115.3810.398.497.466.816.356.025.765.56S lo0.1002.992.612.402.272.182.112.062.021.98el,) ª 19
0.0504.383.523.132.902.742.632.542.482.42
el,)
0.0108.185.935.014.504.173.943.773.633.52'O '"0.00115.0810.168.287.276.626.185.8-\,5.595.39e 'Q 0.1002.972.592.382.252.162.092.042.001.96C\I lo 0.0504.353.493.101:/) 2.872.712.602.512.452.39
11200.010
8.105.854.944.434.103.873.703.563.46:r 0.00114.829.958.107.106.466.025.695.445.24
0.100
2.962.572.362.232.142.082.021.981.95
21
0.0504.323.473.072.842.682.572.492.422.37
0.0108.025.784.874.374.043.813.643.513.40
0.00114.599.777.946.956.325.885.565.315.11
0.100
2.952.562.352.222.132.062.011.971.93
22
0.0504.303.443.052.822.662.552.462.402.34
0.0107.955.724.824.313.993.763.593.453.35
0.00114.389.617.806.816.195.765.445.194.99
0.100
2.942.552.342.212.112.051.991.951.92
23
0.0504.283.423.032.802.642.532.442.372.32
0.0107.885.664.764.263.943.713.543.413.30
0.00114.209.477.676.706.085.655.335.094.89
0.100
2.932.542.332.192.102.041.981.941.91
24
0.0504.263.403.012.782.622.512.422.362.30
0.0107.825.614.724.223.903.673.503.363.26
0.00114.039.347.556.595.985.555.234.994.80
(continúa)
-
Apéndice de tablas751
Tabla A.9
Valores críticos para la distribución de F (cont.)
v, =grados de libertad del numerador10
121520253040SO601201000
2.14
2.102.052.011.981.961.931.921.901.881.852.67
2.602.532.462.412.382.342.312.302.252.214.10
3.963.823.663.573.5]3.433.383.343.253.]86.80
6.526.235.935.755.635.475.375.305.144.99
2.10
2.052.011.961.931.911.891.871.861.831.802.60
2.532.462.392.342.312.272.242.222.182.143.94
3.803.663.513.413.353.273.223.183.093.026.40
6.135.855.565.385.255.105.004.944.77"4.62
2.06
2.021.971.921.891.871.851.831.821.791.762.54
2.482.402.332.282.252.202.182.162.112.073.80
3.673.523.373.283.213.133.083.052.962.886.08
5.815.545.255.074.954.804.704.644.474.33
2.03
1.991.941.891.861.841.811.791.781.751.722.49
2.422.352.282.232.192.152.122.112.062.023.69
3.553.413.263.163.103.022.972.932.842.765.81
5.555.274.994.824.704.544.454.394.234.08
2.00
1.961.911.861.831.811.781.761.751.721.692.45
2.382.312.232.182.152.102.082.062.011.973.59
3.463.313.163.073.002.922.872.832.752.665.58
5.325.054.784.604.484.334.244.184.023.87
1.98
1.931.891.841.801.781.751.741.721.691.662.41
2.342.272.192.142.112.062.042.021.971.923.51
3.373.233.082.982.922.842.782.752.662.585.39
5.134.874.594.424.304.154.064.003.843.69
1.96
1.911.861.811.781.761.731.711.701.671.642.38
2.312.232.162.112.072.032.001.981.931.883.43
3.303.153.002.912.842.762.712.672.582.505.22
4.974.704.434.264.143.993.903.843.683.53
1.94
1.891.841.791.761.741.711.691.68"1.64 1.61
2.352.282.202.122.072.041.991.971.951.901.85
3.373.233.092.942.842.782.692.642.612.522.43
5.084.824.564.294.124.003.863.773.703.543.40
1.92
1.871.831.781.741.721.691.671.661.621.592.32
2.252.182.102.052.011.961.941.921.871.823.31
3.173.032.882.792.722.642.582.552.462.374.95
4.704.444.174.003.883.743.643.583.423.28
1.90
1.861.811.761.731.701.671.651.641.601.572.30
2.231.152.072.021.981.941.911.891.841.793.26
3.122.982.832.732.672.582.532.502.402.324.83
4.58. ~~4.063.893.783.633.543.483.323.17.,.•.J.J
1.891.84I.SO1.1~1.711.691.661.641.621.591.55
2.272.202.132.052.001.961.911.881.861.811.76
3.213.0,=_932.-S2.692.621.541.482.452.352.27
4.734AS.!..:..::.%' -o:.683333.443.38~ ??3.08_" • ..J"
.J. __
1.881.83l.-~1.-3L:-~1.6-L&!1.621.611.571.54
2.251.18' ":..a:~_9-:.911.S91.861.841.791.74-.1.
3.173.03~'"S=- -..!2.~1-5.3lA9'") ti,,,1.-W1.312.22--~
4.644.39' .:'~3.";]3.593.-153363.193.142.99-:..J.-
(continÚa)
752 Apéndice de tablas
Tabla A.9
Valores críticos para la distribución de F (cont.)
Vi =grados de libertad del numeradora
123456789
0.100
2.922.532.322.182.092.021.971.931.89
25
0.0504.243.392.992.762.602.492.402.342.28
0.0107.775.574.684.183.853.633.463.323.22
0.00113.889.227.456.495.895.465.154.914.71
0.100
2.912.522.312.172.082.011.961.921.88
26
0.0504.233.372.982.742.592.472.392.322.27
0.0107.725.534.644.143.823.593.423.293.18
0.00113.749.127.366.415.805.385.074.834.64
0.100
2.902.512.302.172.072.001.951.911.87
27
0.0504.213.352.962.732.572.462.372.312.25
0.0107.685.494.604.113.783.563.393.263.15
0.00113.619.027.276.335.735.315.004.764.57
0.100
2.892.502.292.162.062.001.941.901.87
28
0.0504.203.342.952.712.562.452.362.292.24
0.0107.645.454.574.073.753.533.363.233.12
0.00113.508.937.196.255.665.244.934.694.50
'""
0.1002.892.502.282.152.061.991.931.891.86
Q0.0504.183.332.932.702.552.432.352.282.22"Q 29~ 0.0107.605.424.544.043.733.503.333.203.09=
·s0.00113.398.857.126.195.595.184.874.644.45
Q 0.1002.882.492.282.142.051.981.931.881.85=Qj"Q 0.0504.173.322.922.692.532.422.332.272.21~
300.010
7.565.394.514.023.703.473.303.173.07"Q"Q
0.00113.298.777.056.125.535.124.824.584.39~ - 0.1002.842.442.232.092.001.931.871.831.79'""
Qj
:§ 40
0.0504.083.232.842.612.452.342.252.182.12
Qj
0.0107.315.184.313.833.513.293.122.992.89"Q '"0.00112.618.256.595.705.134.734.444.214.02o "Q 0.1002.812.412.202.061.971.901.84\1.801.76~
'"" 0.0504.033.182.792.562.402.292.202.132.07OJ)
11
500.010 7.175.064.203.723.413.193.022.892.78;{' 0.00112.227.966.345.464.904.514.224.003.82
0.1002.792.392.182.041.951.871.821.771.74
60
0.0504.003.152.762.532.372.252.172.102.04
0.0107.084.984.133.653.343.122.952.822.72
0.00111.977.776.175.314.764.374.093.863.69
0.1002.762.362.142.001.911.831.781.731.69
100
0.0503.943.092.702.462.312.192.102.031.97
0.0106.904.823.983.513.212.992.822.692.59
0.00111.507.415.865.024.484.113.833.613.44
0.100
2.732.332.111.971.881.801.751.701.66
200
0.0503.893.042.652.422.262.142.061.981.93
0.0106.764.713.883.413.112.892.732.602.50
0.00111.157.155.634.814.293.923.653.433.26
0.1002.712.312.091.951.851.781.721.681.64
1000
0.0503.853.002.612.382.222.112.021.951.89
0.0106.664.633.803.343.042.822.662.532.43
0.00110.896.965.464.654.143.783.513.303.13
(continúa)
Apéndice de tablas753
Tabla A.9
Valores críticos para la distribución de F (cont.)
VI =grados de libertad del numerador10
12152025304050601201000
1.87
1.821.771.721.681.661.631.611.591.561.522.24
2.162.092.011.961.921.871.841.821.771.723.13
2.992.852.702.602.542.452.402.362.272.184.56
4.314.063.793.633.523.373.283.223.062.911.86
1.811.761.711.671.651.611.591.581.541.512.22
2.152.071.991.941.901.851.821.801.751.703.09
2.962.812.662.572.502.422.362.332.232.144.48
4.243.993.723.563.443.303.213.152.992.84
1.85
1.801.751.701.661.641.601.581.571.531.502.20
2.132.061.971.921.881.841.811.791.731.683.06
2.932.782.632.542.472.382.332.292.202.114.41
4.173.923.663.493.383.233.143.082.922.781.84
1.791.741.691.651.631.591.571.561.521.482.19
2.122.041.961.911.871.82·1.791.771.711.663.03
2.902.752.602.512.442.352.302.262.172.084.35
4.113.863.603.433.323.183.093.022.862.721.83
1.781.731.681.641.621.581.561.551.511.472.18
2.102.031.941.891.851.811.771.751.701.653.00
2.872.732.572.482.412.332.272.232.142.054.29
4.053.803.543.383.273.123.032.972.812.661.82
1.771.721.671.631.611.571.551.541.501.462.16
2.092.011.931.881.841.791.761.741.681.632.98
2.842.702.552.452.392.302.252.212.112.024.24
4.003.753.493.333.223.072.982.922.762.61
1.76
1.711.661.611.571.541.511.481.471.421.382.08
2.001.921.841.781.741.691.661.641.581.522.80
2.662.522.372.272.202.112.062.021.921.823.87
3.643.403.142.982.872.732.642.572.412.251.73
1.681.631.571.531.501.461.441.42"-1.381.332.03
1.951.871.781.731.691.631.601.581.511.452.70
2.562.422.272.172.102.011.951.911.801.703.67
3.443.202.952.792.682.532.442.382.212.051.71
1.661.601.541.501.481.441.411.401.351.301.99
1.921.841.751.691.651.591.561.531.471.402.63
2.502.352.202.102.031.941.881.841.731.623.54
3.323.082.832.672.552.412.322.252.081.921.66
1.611.561.491.451.421.381.351.341.281.221.93
1.851.771.681.621.571.521.481.451.381.302.50
2.372.222.071.971.891.801.741.691.571.453.30
3.072.842.592.432.322.172.082.011.831.641.63
1.581.521.461.411.381.341.311.291.231.161.88
1.801.721.621.561.521.461.411.391.301.212.41
2.272.131.971.871.791.691.631.581.451.303.12
2.902.672.422.262.152.001.901.831.641.431.61
1.551.491.431.381.351.301.271.251.181.081.84
1.761.681.581.521.471.411.361.331.241.112.34
2.202.061.901.791.721.611.541.501.351.162.99
2.772.542.302.142.021.871.771.691.491.22
