Tabla distribución chi-cuadrado, inversa
Tabla distribución chi-cuadrado, inversa.
| k \ P
|
0,01
|
0,05
|
0,10
|
0,20
|
0,25
|
0,30
|
0,40
|
0,50
|
0,60
|
0,70
|
0,75
|
0,80
|
0,90
|
0,95
|
0,99
|
| 1
|
0,000
|
0,004
|
0,016
|
0,064
|
0,102
|
0,148
|
0,275
|
0,455
|
0,708
|
1,074
|
1,323
|
1,642
|
2,706
|
3,841
|
6,635
|
| 2
|
0,020
|
0,103
|
0,211
|
0,446
|
0,575
|
0,713
|
1,022
|
1,386
|
1,833
|
2,408
|
2,773
|
3,219
|
4,605
|
5,991
|
9,210
|
| 3
|
0,115
|
0,352
|
0,584
|
1,005
|
1,213
|
1,424
|
1,869
|
2,366
|
2,946
|
3,665
|
4,108
|
4,642
|
6,251
|
7,815
|
11,34
|
| 4
|
0,297
|
0,711
|
1,064
|
1,649
|
1,923
|
2,195
|
2,753
|
3,357
|
4,045
|
4,878
|
5,385
|
5,989
|
7,779
|
9,488
|
13,28
|
| 5
|
0,554
|
1,145
|
1,610
|
2,343
|
2,675
|
3,000
|
3,656
|
4,351
|
5,132
|
6,064
|
6,626
|
7,289
|
9,236
|
11,07
|
15,09
|
| 6
|
0,872
|
1,635
|
2,204
|
3,070
|
3,455
|
3,828
|
4,570
|
5,348
|
6,211
|
7,231
|
7,841
|
8,558
|
10,64
|
12,59
|
16,81
|
| 7
|
1,239
|
2,167
|
2,833
|
3,822
|
4,255
|
4,671
|
5,493
|
6,346
|
7,283
|
8,383
|
9,037
|
9,803
|
12,02
|
14,07
|
18,48
|
| 8
|
1,647
|
2,733
|
3,490
|
4,594
|
5,071
|
5,527
|
6,423
|
7,344
|
8,351
|
9,524
|
10,22
|
11,03
|
13,36
|
15,51
|
20,09
|
| 9
|
2,088
|
3,325
|
4,168
|
5,380
|
5,899
|
6,393
|
7,357
|
8,343
|
9,414
|
10,66
|
11,39
|
12,24
|
14,68
|
16,92
|
21,67
|
| 10
|
2,558
|
3,940
|
4,865
|
6,179
|
6,737
|
7,267
|
8,295
|
9,342
|
10,47
|
11,78
|
12,55
|
13,44
|
15,99
|
18,31
|
23,21
|
| 11
|
3,053
|
4,575
|
5,578
|
6,989
|
7,584
|
8,148
|
9,237
|
10,34
|
11,53
|
12,90
|
13,70
|
14,63
|
17,28
|
19,68
|
24,73
|
| 12
|
3,571
|
5,226
|
6,304
|
7,807
|
8,438
|
9,034
|
10,18
|
11,34
|
12,58
|
14,01
|
14,85
|
15,81
|
18,55
|
21,03
|
26,22
|
| 13
|
4,107
|
5,892
|
7,041
|
8,634
|
9,299
|
9,926
|
11,13
|
12,34
|
13,64
|
15,12
|
15,98
|
16,98
|
19,81
|
22,36
|
27,69
|
| 14
|
4,660
|
6,571
|
7,790
|
9,467
|
10,17
|
10,82
|
12,08
|
13,34
|
14,69
|
16,22
|
17,12
|
18,15
|
21,06
|
23,68
|
29,14
|
| 15
|
5,229
|
7,261
|
8,547
|
10,31
|
11,04
|
11,72
|
13,03
|
14,34
|
15,73
|
17,32
|
18,25
|
19,31
|
22,31
|
25,00
|
30,58
|
| 16
|
5,812
|
7,962
|
9,312
|
11,15
|
11,91
|
12,62
|
13,98
|
15,34
|
16,78
|
18,42
|
19,37
|
20,47
|
23,54
|
26,30
|
32,00
|
| 17
|
6,408
|
8,672
|
10,09
|
12,00
|
12,79
|
13,53
|
14,94
|
16,34
|
17,82
|
19,51
|
20,49
|
21,61
|
24,77
|
27,59
|
33,41
|
| 18
|
7,015
|
9,390
|
10,86
|
12,86
|
13,68
|
14,44
|
15,89
|
17,34
|
18,87
|
20,60
|
21,60
|
22,76
|
25,99
|
28,87
|
34,81
|
| 19
|
7,633
|
10,12
|
11,65
|
13,72
|
14,56
|
15,35
|
16,85
|
18,34
|
19,91
|
21,69
|
22,72
|
23,90
|
27,20
|
30,14
|
36,19
|
| 20
|
8,260
|
10,85
|
12,44
|
14,58
|
15,45
|
16,27
|
17,81
|
19,34
|
20,95
|
22,77
|
23,83
|
25,04
|
28,41
|
31,41
|
37,57
|
| 21
|
8,897
|
11,59
|
13,24
|
15,44
|
16,34
|
17,18
|
18,77
|
20,34
|
21,99
|
23,86
|
24,93
|
26,17
|
29,62
|
32,67
|
38,93
|
| 22
|
9,542
|
12,34
|
14,04
|
16,31
|
17,24
|
18,10
|
19,73
|
21,34
|
23,03
|
24,94
|
26,04
|
27,30
|
30,81
|
33,92
|
40,29
|
| 23
|
10,20
|
13,09
|
14,85
|
17,19
|
18,14
|
19,02
|
20,69
|
22,34
|
24,07
|
26,02
|
27,14
|
28,43
|
32,01
|
35,17
|
41,64
|
| 24
|
10,86
|
13,85
|
15,66
|
18,06
|
19,04
|
19,94
|
21,65
|
23,34
|
25,11
|
27,10
|
28,24
|
29,55
|
33,20
|
36,42
|
42,98
|
| 25
|
11,52
|
14,61
|
16,47
|
18,94
|
19,94
|
20,87
|
22,62
|
24,34
|
26,14
|
28,17
|
29,34
|
30,68
|
34,38
|
37,65
|
44,31
|
| 26
|
12,20
|
15,38
|
17,29
|
19,82
|
20,84
|
21,79
|
23,58
|
25,34
|
27,18
|
29,25
|
30,43
|
31,79
|
35,56
|
38,89
|
45,64
|
| 27
|
12,88
|
16,15
|
18,11
|
20,70
|
21,75
|
22,72
|
24,54
|
26,34
|
28,21
|
30,32
|
31,53
|
32,91
|
36,74
|
40,11
|
46,96
|
| 28
|
13,56
|
16,93
|
18,94
|
21,59
|
22,66
|
23,65
|
25,51
|
27,34
|
29,25
|
31,39
|
32,62
|
34,03
|
37,92
|
41,34
|
48,28
|
| 29
|
14,26
|
17,71
|
19,77
|
22,48
|
23,57
|
24,58
|
26,48
|
28,34
|
30,28
|
32,46
|
33,71
|
35,14
|
39,09
|
42,56
|
49,59
|
| 30
|
14,95
|
18,49
|
20,60
|
23,36
|
24,48
|
25,51
|
27,44
|
29,34
|
31,32
|
33,53
|
34,80
|
36,25
|
40,26
|
43,77
|
50,89
|
| 31
|
15,66
|
19,28
|
21,43
|
24,26
|
25,39
|
26,44
|
28,41
|
30,34
|
32,35
|
34,60
|
35,89
|
37,36
|
41,42
|
44,99
|
52,19
|
| 32
|
16,36
|
20,07
|
22,27
|
25,15
|
26,30
|
27,37
|
29,38
|
31,34
|
33,38
|
35,66
|
36,97
|
38,47
|
42,58
|
46,19
|
53,49
|
| 33
|
17,07
|
20,87
|
23,11
|
26,04
|
27,22
|
28,31
|
30,34
|
32,34
|
34,41
|
36,73
|
38,06
|
39,57
|
43,75
|
47,40
|
54,78
|
| 34
|
17,79
|
21,66
|
23,95
|
26,94
|
28,14
|
29,24
|
31,31
|
33,34
|
35,44
|
37,80
|
39,14
|
40,68
|
44,90
|
48,60
|
56,06
|
| 35
|
18,51
|
22,47
|
24,80
|
27,84
|
29,05
|
30,18
|
32,28
|
34,34
|
36,47
|
38,86
|
40,22
|
41,78
|
46,06
|
49,80
|
57,34
|
| 36
|
19,23
|
23,27
|
25,64
|
28,73
|
29,97
|
31,12
|
33,25
|
35,34
|
37,50
|
39,92
|
41,30
|
42,88
|
47,21
|
51,00
|
58,62
|
| 37
|
19,96
|
24,07
|
26,49
|
29,64
|
30,89
|
32,05
|
34,22
|
36,34
|
38,53
|
40,98
|
42,38
|
43,98
|
48,36
|
52,19
|
59,89
|
| 38
|
20,69
|
24,88
|
27,34
|
30,54
|
31,81
|
32,99
|
35,19
|
37,34
|
39,56
|
42,05
|
43,46
|
45,08
|
49,51
|
53,38
|
61,16
|
| 39
|
21,43
|
25,70
|
28,20
|
31,44
|
32,74
|
33,93
|
36,16
|
38,34
|
40,59
|
43,11
|
44,54
|
46,17
|
50,66
|
54,57
|
62,43
|
| 40
|
22,16
|
26,51
|
29,05
|
32,34
|
33,66
|
34,87
|
37,13
|
39,34
|
41,62
|
44,16
|
45,62
|
47,27
|
51,81
|
55,76
|
63,69
|
| 41
|
22,91
|
27,33
|
29,91
|
33,25
|
34,58
|
35,81
|
38,11
|
40,34
|
42,65
|
45,22
|
46,69
|
48,36
|
52,95
|
56,94
|
64,95
|
| 42
|
23,65
|
28,14
|
30,77
|
34,16
|
35,51
|
36,75
|
39,08
|
41,34
|
43,68
|
46,28
|
47,77
|
49,46
|
54,09
|
58,12
|
66,21
|
| 43
|
24,40
|
28,96
|
31,63
|
35,07
|
36,44
|
37,70
|
40,05
|
42,34
|
44,71
|
47,34
|
48,84
|
50,55
|
55,23
|
59,30
|
67,46
|
| 44
|
25,15
|
29,79
|
32,49
|
35,97
|
37,36
|
38,64
|
41,02
|
43,34
|
45,73
|
48,40
|
49,91
|
51,64
|
56,37
|
60,48
|
68,71
|
| 45
|
25,90
|
30,61
|
33,35
|
36,88
|
38,29
|
39,58
|
42,00
|
44,34
|
46,76
|
49,45
|
50,98
|
52,73
|
57,51
|
61,66
|
69,96
|
| 46
|
26,66
|
31,44
|
34,22
|
37,80
|
39,22
|
40,53
|
42,97
|
45,34
|
47,79
|
50,51
|
52,06
|
53,82
|
58,64
|
62,83
|
71,20
|
| 47
|
27,42
|
32,27
|
35,08
|
38,71
|
40,15
|
41,47
|
43,94
|
46,34
|
48,81
|
51,56
|
53,13
|
54,91
|
59,77
|
64,00
|
72,44
|
| 48
|
28,18
|
33,10
|
35,95
|
39,62
|
41,08
|
42,42
|
44,92
|
47,34
|
49,84
|
52,62
|
54,20
|
55,99
|
60,91
|
65,17
|
73,68
|
| 49
|
28,94
|
33,93
|
36,82
|
40,53
|
42,01
|
43,37
|
45,89
|
48,33
|
50,87
|
53,67
|
55,27
|
57,08
|
62,04
|
66,34
|
74,92
|
| 50
|
29,71
|
34,76
|
37,69
|
41,45
|
42,94
|
44,31
|
46,86
|
49,33
|
51,89
|
54,72
|
56,33
|
58,16
|
63,17
|
67,50
|
76,15
|
| 51
|
30,48
|
35,60
|
38,56
|
42,36
|
43,87
|
45,26
|
47,84
|
50,33
|
52,92
|
55,78
|
57,40
|
59,25
|
64,30
|
68,67
|
77,39
|
| 52
|
31,25
|
36,44
|
39,43
|
43,28
|
44,81
|
46,21
|
48,81
|
51,33
|
53,94
|
56,83
|
58,47
|
60,33
|
65,42
|
69,83
|
78,62
|
| 53
|
32,02
|
37,28
|
40,31
|
44,20
|
45,74
|
47,16
|
49,79
|
52,33
|
54,97
|
57,88
|
59,53
|
61,41
|
66,55
|
70,99
|
79,84
|
| 54
|
32,79
|
38,12
|
41,18
|
45,12
|
46,68
|
48,11
|
50,76
|
53,33
|
55,99
|
58,93
|
60,60
|
62,50
|
67,67
|
72,15
|
81,07
|
| 55
|
33,57
|
38,96
|
42,06
|
46,04
|
47,61
|
49,06
|
51,74
|
54,33
|
57,02
|
59,98
|
61,67
|
63,58
|
68,80
|
73,31
|
82,29
|
| 56
|
34,35
|
39,80
|
42,94
|
46,96
|
48,55
|
50,01
|
52,71
|
55,33
|
58,04
|
61,03
|
62,73
|
64,66
|
69,92
|
74,47
|
83,51
|
| 57
|
35,13
|
40,65
|
43,82
|
47,88
|
49,48
|
50,96
|
53,69
|
56,33
|
59,06
|
62,08
|
63,79
|
65,74
|
71,04
|
75,62
|
84,73
|
| 58
|
35,91
|
41,49
|
44,70
|
48,80
|
50,42
|
51,91
|
54,67
|
57,33
|
60,09
|
63,13
|
64,86
|
66,82
|
72,16
|
76,78
|
85,95
|
| 59
|
36,70
|
42,34
|
45,58
|
49,72
|
51,36
|
52,86
|
55,64
|
58,33
|
61,11
|
64,18
|
65,92
|
67,89
|
73,28
|
77,93
|
87,17
|
| 60
|
37,48
|
43,19
|
46,46
|
50,64
|
52,29
|
53,81
|
56,62
|
59,33
|
62,13
|
65,23
|
66,98
|
68,97
|
74,40
|
79,08
|
88,38
|
| 70
|
45,44
|
51,74
|
55,33
|
59,90
|
61,70
|
63,35
|
66,40
|
69,33
|
72,36
|
75,69
|
77,58
|
79,71
|
85,53
|
90,53
|
100,4
|
| 80
|
53,54
|
60,39
|
64,28
|
69,21
|
71,14
|
72,92
|
76,19
|
79,33
|
82,57
|
86,12
|
88,13
|
90,41
|
96,58
|
101,9
|
112,3
|
| 90
|
61,75
|
69,13
|
73,29
|
78,56
|
80,62
|
82,51
|
85,99
|
89,33
|
92,76
|
96,52
|
98,65
|
101,1
|
107,6
|
113,1
|
124,1
|
| 100
|
70,06
|
77,93
|
82,36
|
87,95
|
90,13
|
92,13
|
95,81
|
99,33
|
102,9
|
106,9
|
109,1
|
111,7
|
118,5
|
124,3
|
135,8
|
| 110
|
78,46
|
86,79
|
91,47
|
97,36
|
99,67
|
101,8
|
105,6
|
109,3
|
113,1
|
117,3
|
119,6
|
122,2
|
129,4
|
135,5
|
147,4
|
| 120
|
86,92
|
95,70
|
100,6
|
106,8
|
109,2
|
111,4
|
115,5
|
119,3
|
123,3
|
127,6
|
130,1
|
132,8
|
140,2
|
146,6
|
159,0
|
| 130
|
95,45
|
104,7
|
109,8
|
116,3
|
118,8
|
121,1
|
125,3
|
129,3
|
133,4
|
137,9
|
140,5
|
143,3
|
151,0
|
157,6
|
170,4
|
| 140
|
104,0
|
113,7
|
119,0
|
125,8
|
128,4
|
130,8
|
135,1
|
139,3
|
143,6
|
148,3
|
150,9
|
153,9
|
161,8
|
168,6
|
181,8
|
| 150
|
112,7
|
122,7
|
128,3
|
135,3
|
138,0
|
140,5
|
145,0
|
149,3
|
153,8
|
158,6
|
161,3
|
164,3
|
172,6
|
179,6
|
193,2
|
| 160
|
121,3
|
131,8
|
137,5
|
144,8
|
147,6
|
150,2
|
154,9
|
159,3
|
163,9
|
168,9
|
171,7
|
174,8
|
183,3
|
190,5
|
204,5
|
| 170
|
130,1
|
140,8
|
146,8
|
154,3
|
157,2
|
159,9
|
164,7
|
169,3
|
174,0
|
179,2
|
182,0
|
185,3
|
194,0
|
201,4
|
215,8
|
| 180
|
138,8
|
150,0
|
156,2
|
163,9
|
166,9
|
169,6
|
174,6
|
179,3
|
184,2
|
189,4
|
192,4
|
195,7
|
204,7
|
212,3
|
227,1
|
| 190
|
147,6
|
159,1
|
165,5
|
173,4
|
176,5
|
179,3
|
184,4
|
189,3
|
194,3
|
199,7
|
202,8
|
206,2
|
215,4
|
223,2
|
238,3
|
| 200
|
156,4
|
168,3
|
174,8
|
183,0
|
186,2
|
189,0
|
194,3
|
199,3
|
204,4
|
210,0
|
213,1
|
216,6
|
226,0
|
234,0
|
249,4
|
