\(T\)-Distribution Table for Inference
|
|
Confidence Interval
|
|
|
p=0.99
|
p=0.98
|
p=0.95
|
p=0.90
|
p=0.80
|
|
|
Two Tail Area
|
|
|
p=0.01
|
p=0.02
|
p=0.05
|
p=0.10
|
p=0.20
|
|
|
Right Tail Area
|
|
df
|
p=0.005
|
p=0.01
|
p=0.025
|
p=0.05
|
p=0.10
|
|
1
|
63.6567
|
31.8205
|
12.7062
|
6.3138
|
3.0777
|
|
2
|
9.9248
|
6.9646
|
4.3027
|
2.92
|
1.8856
|
|
3
|
5.8409
|
4.5407
|
3.1824
|
2.3534
|
1.6377
|
|
4
|
4.6041
|
3.7469
|
2.7764
|
2.1318
|
1.5332
|
|
5
|
4.0321
|
3.3649
|
2.5706
|
2.015
|
1.4759
|
|
6
|
3.7074
|
3.1427
|
2.4469
|
1.9432
|
1.4398
|
|
7
|
3.4995
|
2.998
|
2.3646
|
1.8946
|
1.4149
|
|
8
|
3.3554
|
2.8965
|
2.306
|
1.8595
|
1.3968
|
|
9
|
3.2498
|
2.8214
|
2.2622
|
1.8331
|
1.383
|
|
10
|
3.1693
|
2.7638
|
2.2281
|
1.8125
|
1.3722
|
|
11
|
3.1058
|
2.7181
|
2.201
|
1.7959
|
1.3634
|
|
12
|
3.0545
|
2.681
|
2.1788
|
1.7823
|
1.3562
|
|
13
|
3.0123
|
2.6503
|
2.1604
|
1.7709
|
1.3502
|
|
14
|
2.9768
|
2.6245
|
2.1448
|
1.7613
|
1.345
|
|
15
|
2.9467
|
2.6025
|
2.1314
|
1.7531
|
1.3406
|
|
16
|
2.9208
|
2.5835
|
2.1199
|
1.7459
|
1.3368
|
|
17
|
2.8982
|
2.5669
|
2.1098
|
1.7396
|
1.3334
|
|
18
|
2.8784
|
2.5524
|
2.1009
|
1.7341
|
1.3304
|
|
19
|
2.8609
|
2.5395
|
2.093
|
1.7291
|
1.3277
|
|
20
|
2.8453
|
2.528
|
2.086
|
1.7247
|
1.3253
|
|
21
|
2.8314
|
2.5176
|
2.0796
|
1.7207
|
1.3232
|
|
22
|
2.8188
|
2.5083
|
2.0739
|
1.7171
|
1.3212
|
|
23
|
2.8073
|
2.4999
|
2.0687
|
1.7139
|
1.3195
|
|
24
|
2.7969
|
2.4922
|
2.0639
|
1.7109
|
1.3178
|
|
25
|
2.7874
|
2.4851
|
2.0595
|
1.7081
|
1.3163
|
|
26
|
2.7787
|
2.4786
|
2.0555
|
1.7056
|
1.315
|
|
27
|
2.7707
|
2.4727
|
2.0518
|
1.7033
|
1.3137
|
|
28
|
2.7633
|
2.4671
|
2.0484
|
1.7011
|
1.3125
|
|
29
|
2.7564
|
2.462
|
2.0452
|
1.6991
|
1.3114
|
|
30
|
2.75
|
2.4573
|
2.0423
|
1.6973
|
1.3104
|
|
31
|
2.744
|
2.4528
|
2.0395
|
1.6955
|
1.3095
|
|
32
|
2.7385
|
2.4487
|
2.0369
|
1.6939
|
1.3086
|
|
33
|
2.7333
|
2.4448
|
2.0345
|
1.6924
|
1.3077
|
|
34
|
2.7284
|
2.4411
|
2.0322
|
1.6909
|
1.307
|
|
35
|
2.7238
|
2.4377
|
2.0301
|
1.6896
|
1.3062
|
|
36
|
2.7195
|
2.4345
|
2.0281
|
1.6883
|
1.3055
|
|
37
|
2.7154
|
2.4314
|
2.0262
|
1.6871
|
1.3049
|
|
38
|
2.7116
|
2.4286
|
2.0244
|
1.686
|
1.3042
|
|
39
|
2.7079
|
2.4258
|
2.0227
|
1.6849
|
1.3036
|
|
40
|
2.7045
|
2.4233
|
2.0211
|
1.6839
|
1.3031
|
|
41
|
2.7012
|
2.4208
|
2.0195
|
1.6829
|
1.3025
|
|
42
|
2.6981
|
2.4185
|
2.0181
|
1.682
|
1.302
|
|
43
|
2.6951
|
2.4163
|
2.0167
|
1.6811
|
1.3016
|
|
44
|
2.6923
|
2.4141
|
2.0154
|
1.6802
|
1.3011
|
|
45
|
2.6896
|
2.4121
|
2.0141
|
1.6794
|
1.3006
|
|
46
|
2.687
|
2.4102
|
2.0129
|
1.6787
|
1.3002
|
|
47
|
2.6846
|
2.4083
|
2.0117
|
1.6779
|
1.2998
|
|
48
|
2.6822
|
2.4066
|
2.0106
|
1.6772
|
1.2994
|
|
49
|
2.68
|
2.4049
|
2.0096
|
1.6766
|
1.2991
|
|
50
|
2.6778
|
2.4033
|
2.0086
|
1.6759
|
1.2987
|
|
51
|
2.6757
|
2.4017
|
2.0076
|
1.6753
|
1.2984
|
|
52
|
2.6737
|
2.4002
|
2.0066
|
1.6747
|
1.298
|
|
53
|
2.6718
|
2.3988
|
2.0057
|
1.6741
|
1.2977
|
|
54
|
2.67
|
2.3974
|
2.0049
|
1.6736
|
1.2974
|
|
55
|
2.6682
|
2.3961
|
2.004
|
1.673
|
1.2971
|
|
56
|
2.6665
|
2.3948
|
2.0032
|
1.6725
|
1.2969
|
|
57
|
2.6649
|
2.3936
|
2.0025
|
1.672
|
1.2966
|
|
58
|
2.6633
|
2.3924
|
2.0017
|
1.6716
|
1.2963
|
|
59
|
2.6618
|
2.3912
|
2.001
|
1.6711
|
1.2961
|
|
60
|
2.6603
|
2.3901
|
2.0003
|
1.6706
|
1.2958
|
|
61
|
2.6589
|
2.389
|
1.9996
|
1.6702
|
1.2956
|
|
62
|
2.6575
|
2.388
|
1.999
|
1.6698
|
1.2954
|
|
63
|
2.6561
|
2.387
|
1.9983
|
1.6694
|
1.2951
|
|
64
|
2.6549
|
2.386
|
1.9977
|
1.669
|
1.2949
|
|
65
|
2.6536
|
2.3851
|
1.9971
|
1.6686
|
1.2947
|
|
66
|
2.6524
|
2.3842
|
1.9966
|
1.6683
|
1.2945
|
|
67
|
2.6512
|
2.3833
|
1.996
|
1.6679
|
1.2943
|
|
68
|
2.6501
|
2.3824
|
1.9955
|
1.6676
|
1.2941
|
|
69
|
2.649
|
2.3816
|
1.9949
|
1.6672
|
1.2939
|
|
70
|
2.6479
|
2.3808
|
1.9944
|
1.6669
|
1.2938
|
|
71
|
2.6469
|
2.38
|
1.9939
|
1.6666
|
1.2936
|
|
72
|
2.6459
|
2.3793
|
1.9935
|
1.6663
|
1.2934
|
|
73
|
2.6449
|
2.3785
|
1.993
|
1.666
|
1.2933
|
|
74
|
2.6439
|
2.3778
|
1.9925
|
1.6657
|
1.2931
|
|
75
|
2.643
|
2.3771
|
1.9921
|
1.6654
|
1.2929
|
|
76
|
2.6421
|
2.3764
|
1.9917
|
1.6652
|
1.2928
|
|
77
|
2.6412
|
2.3758
|
1.9913
|
1.6649
|
1.2926
|
|
78
|
2.6403
|
2.3751
|
1.9908
|
1.6646
|
1.2925
|
|
79
|
2.6395
|
2.3745
|
1.9905
|
1.6644
|
1.2924
|
|
80
|
2.6387
|
2.3739
|
1.9901
|
1.6641
|
1.2922
|
|
81
|
2.6379
|
2.3733
|
1.9897
|
1.6639
|
1.2921
|
|
82
|
2.6371
|
2.3727
|
1.9893
|
1.6636
|
1.292
|
|
83
|
2.6364
|
2.3721
|
1.989
|
1.6634
|
1.2918
|
|
84
|
2.6356
|
2.3716
|
1.9886
|
1.6632
|
1.2917
|
|
85
|
2.6349
|
2.371
|
1.9883
|
1.663
|
1.2916
|
|
86
|
2.6342
|
2.3705
|
1.9879
|
1.6628
|
1.2915
|
|
87
|
2.6335
|
2.37
|
1.9876
|
1.6626
|
1.2914
|
|
88
|
2.6329
|
2.3695
|
1.9873
|
1.6624
|
1.2912
|
|
89
|
2.6322
|
2.369
|
1.987
|
1.6622
|
1.2911
|
|
90
|
2.6316
|
2.3685
|
1.9867
|
1.662
|
1.291
|
|
91
|
2.6309
|
2.368
|
1.9864
|
1.6618
|
1.2909
|
|
92
|
2.6303
|
2.3676
|
1.9861
|
1.6616
|
1.2908
|
|
93
|
2.6297
|
2.3671
|
1.9858
|
1.6614
|
1.2907
|
|
94
|
2.6291
|
2.3667
|
1.9855
|
1.6612
|
1.2906
|
|
95
|
2.6286
|
2.3662
|
1.9853
|
1.6611
|
1.2905
|
|
96
|
2.628
|
2.3658
|
1.985
|
1.6609
|
1.2904
|
|
97
|
2.6275
|
2.3654
|
1.9847
|
1.6607
|
1.2903
|
|
98
|
2.6269
|
2.365
|
1.9845
|
1.6606
|
1.2902
|
|
99
|
2.6264
|
2.3646
|
1.9842
|
1.6604
|
1.2902
|
|
100
|
2.6259
|
2.3642
|
1.984
|
1.6602
|
1.2901
|