Page 650 - Probability and Statistical Inference

14. Appendix 627

For example, when γ = .95, one has In the
Chi-square Table 14.3.2, we have

Table 14.3.2. Lower 100γ% Point for the
Distribution:

γ
γ
v γ γ γ γ γ = .01 γ γ γ γ γ = .025 γ γγ γ = .05 γ γ γ γ γ = .95 γ γ γ γ γ = .975 γ γγ γ = .99
1 .00016 .00098 .00393 3.8415 5.0239 6.6349
2 .02010 .05064 .10259 5.9915 7.3778 9.2103
3 .11490 .21570 .35185 7.8147 9.3484 11.345
4 .29711 .48442 .71072 9.4877 11.143 13.277
5 .55430 .83121 1.1455 11.070 12.833 15.086
6 .87209 1.2373 1.6354 12.592 14.449 16.812
7 1.2390 1.5643 2.1673 14.067 16.013 18.475
8 1.6465 2.1797 2.7326 15.507 17.535 20.090
9 2.0879 2.7004 3.3251 16.919 19.023 21.666
10 2.5582 3.2470 3.9403 18.307 20.483 23.209
11 3.0535 3.8157 4.5748 19.675 21.920 24.725
12 3.5706 4.4038 5.2260 21.026 23.337 26.217
13 4.1069 5.0088 5.8919 22.362 24.736 27.688
14 4.6604 5.6287 6.5706 23.685 26.119 29.141
15 5.2293 6.2621 7.2609 24.996 27.488 30.578
16 5.8122 6.9077 7.9616 26.296 28.845 32.000
17 6.4078 7.5642 8.6718 27.587 30.191 33.409
18 7.0149 8.2307 9.3905 28.869 31.526 34.805
19 7.6327 8.9065 10.117 30.144 32.852 36.191
20 8.2604 9.5908 10.851 31.410 34.170 37.566
21 8.8972 10.283 11.591 32.671 35.479 38.932
22 9.5425 10.982 12.338 33.924 36.781 40.289
23 10.196 11.689 13.091 35.172 38.076 41.638
24 10.856 12.401 13.848 36.415 39.364 42.980
25 11.524 13.120 14.611 37.652 40.646 44.314
26 12.198 13.844 15.379 35.563 41.923 45.642
27 12.879 14.573 16.151 40.113 43.195 46.963
28 13.565 15.308 16.928 41.337 44.461 48.278
29 14.256 16.047 17.708 42.550 45.731 49.590
30 14.953 16.791 18.493 43.780 46.980 50.890