tablice t, chi

f(t)
α
tν;α
Wartości krytyczne rozkładu t-Studenta
ν
α = 0,10
0,05
0,025
0,01
0,005
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
40
50
60
80
100
3,078
1,886
1,638
1,533
1,476
1,440
1,415
1,397
1,383
1,372
1,363
1,356
1,350
1,345
1,341
1,337
1,333
1,330
1,328
1,325
1,323
1,321
1,319
1,318
1,316
1,315
1,314
1,313
1,311
1,310
1,303
1,299
1,296
1,292
1,290
6,314
2,920
2,353
2,132
2,015
1,943
1,895
1,860
1,833
1,812
1,796
1,782
1,771
1,761
1,753
1,746
1,740
1,734
1,729
1,725
1,721
1,717
1,714
1,711
1,708
1,706
1,703
1,701
1,699
1,697
1,684
1,676
1,671
1,664
1,660
12,706
4,303
3,182
2,776
2,571
2,447
2,365
2,306
2,262
2,228
2,201
2,179
2,160
2,145
2,131
2,120
2,110
2,101
2,093
2,086
2,080
2,074
2,069
2,064
2,060
2,056
2,052
2,048
2,045
2,042
2,021
2,009
2,000
1,990
1,984
31,821
6,965
4,541
3,747
3,365
3,143
2,998
2,896
2,821
2,764
2,718
2,681
2,650
2,624
2,602
2,583
2,567
2,552
2,539
2,528
2,518
2,508
2,500
2,492
2,485
2,479
2,473
2,467
2,462
2,457
2,423
2,403
2,390
2,374
2,364
63,657
9,925
5,841
4,604
4,032
3,707
3,499
3,355
3,250
3,169
3,106
3,055
3,012
2,977
2,947
2,921
2,898
2,878
2,861
2,845
2,831
2,819
2,807
2,797
2,787
2,779
2,771
2,763
2,756
2,750
2,704
2,678
2,660
2,639
2,626
(z) ∞
1,282
1,645
1,960
2,326
2,576
f(χ2)
α
χ2
χ 2ν ; α
Wartości krytyczne rozkładu chi-kwadrat
ν
α = 0,995 0,990
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
35
40
50
60
80
100
0,975
0,950
0,0439
0,0316
0,0398
0,0239
0,010
0,072
0,207
0,412
0,676
0,989
1,344
1,735
2,156
2,603
3,074
3,565
4,075
4,601
5,142
5,697
6,265
6,844
7,434
8,034
8,643
9,260
9,886
10,520
11,160
11,808
12,461
13,121
13,787
17,192
20,707
27,991
35,535
51,172
67,328
0,020
0,115
0,297
0,554
0,872
1,239
1,647
2,088
2,558
3,054
3,571
4,107
4,660
5,229
5,812
6,408
7,015
7,633
8,260
8,897
9,543
10,196
10,856
11,524
12,198
12,879
13,565
14,257
14,954
18,509
22,164
29,707
37,485
53,540
70,065
0,051
0,216
0,484
0,831
1,237
1,690
2,180
2,700
3,247
3,816
4,404
5,009
5,629
6,262
6,908
7,564
8,231
8,907
9,591
10,283
10,982
11,689
12,401
13,120
13,844
14,573
15,308
16,047
16,791
20,569
24,433
32,357
40,482
57,153
74,222
0,103
0,352
0,711
1,145
1,635
2,167
2,733
3,325
3,940
4,575
5,226
5,892
6,571
7,261
7,962
8,672
9,390
10,117
10,851
11,591
12,338
13,091
13,848
14,611
15,379
16,151
16,928
17,708
18,493
22,465
26,509
34,764
43,188
60,391
77,929
0,900
0,100
0,050
0,025
0,010
0,005
0,016
2,706
3,841
5,024
6,635
7,879
0,211
4,605
5,991
7,378
9,210 10,597
0,584
6,251
7,815
9,348 11,345 12,838
1,064
7,779
9,488 11,143 13,277 14,860
1,610
9,236 11,071 12,833 15,086 16,750
2,204 10,645 12,592 14,449 16,812 18,548
2,833 12,017 14,067 16,013 18,475 20,278
3,490 13,362 15,507 17,535 20,090 21,955
4,168 14,684 16,919 19,023 21,666 23,589
4,865 15,987 18,307 20,483 23,209 25,188
5,578 17,275 19,675 21,920 24,725 26,757
6,304 18,549 21,026 23,337 26,217 28,300
7,042 19,812 22,362 24,736 27,688 29,819
7,790 21,064 23,685 26,119 29,141 31,319
8,547 22,307 24,996 27,488 30,578 32,801
9,312 23,542 26,296 28,845 32,000 34,267
10,085 24,769 27,587 30,191 33,409 35,718
10,865 25,989 28,869 31,526 34,805 37,156
11,651 27,204 30,143 32,852 36,191 38,582
12,443 28,412 31,410 34,170 37,566 39,997
13,240 29,615 32,671 35,479 38,932 41,401
14,042 30,813 33,924 36,781 40,290 42,796
14,848 32,007 35,172 38,076 41,638 44,181
15,659 33,196 36,415 39,364 42,980 45,559
16,473 34,382 37,653 40,647 44,314 46,929
17,292 35,563 38,885 41,923 45,642 48,290
18,114 36,741 40,113 43,195 46,963 49,645
18,939 37,916 41,337 44,461 48,278 50,994
19,768 39,088 42,557 45,722 49,588 52,336
20,599 40,256 43,773 46,979 50,892 53,672
24,797 46,059 49,802 53,203 57,342 60,276
29,051 51,805 55,759 59,342 63,691 66,767
37,689 63,167 67,505 71,420 76,154 79,490
46,459 74,397 79,082 83,298 88,381 91,955
64,278 96,578 101,879 106,628 112,328 116,320
82,358 118,499 124,343 129,563 135,811 140,177