TABLE E.3
Critical Values of t
a particular number of degrees of freedom, entry represents
the critical value of, corresponding to the cumulative probability
(1
and a specified upper-tail area (a).
For
- ")
Degrees of
Freedom,,
I
3.07'77,
6.3138
12.7062
31,;,8-207
63.6574
1.8856
2:9200
430n
6,19646-
9.9248
r.63:7,7
2.7764
A,72:67
I',4759
,2.57A6
,3.'7469
3.3649
,4,.6041
5
2.3534
2.1318
?,0150
3.18:24
4
1.0000
0.8165
0i.7649
0:74A7
6
0.7|76
1:9432
2.4469
3.T427
'3";7014
0,7111
0.:7064
,2,9980
,,3;4995
I 3,.3554
a:70n
23A60
2.2622
2,8965
,9
1,396.9
1,.3830
10
069e8
13722
1.8946
1,8595
1:8331
1 .81 25
2.364:6
I
1.4398
1,,4149
2.2281
2.7638
11
4.6974
t.3;634
2,il8l
0.6955
0:6938
t.3562
1.7959
1.7823
2.20ta
t2
2:1788
2.6810
1.3502
1.3450
1.77A9
2:'l6M
2.6:503
3:0173
1.7613
2;14l.8,
,2.9768
13446
1J531
2,13,1,5
2.62*5
2.6025
i,.1les
2;5835,'
2
J
,7
13
14
1;5332
'45407
5.8409
'4:{R22
2.82t4
,3':.2;498
'3,.'1'69,3
3.105,8
i3'10545
15
0.69:24
O:,6912
16
0.6901
1.3368
t_7459
17
18
19
0.6892
0.6884
4.6876
0.6870
1.3334
1.3304
t-7:3916
',2.1098
L,7,34I
.2;1009
1.3277
:L.7?91
2.0930
1.3253
t,7247
2,0860
0.6864
0.6858
0.6853
0.6848
0.6844
1,;3232
L72A7
2.4196
2':5177
2;83,14,
1,,321,2
t.7r71
2-,5083r
2.8,1188
1,:3195
1.7.739
2:4999
2:$:lU/3
1,3178
1.7109
1,7081
2.013,9
2.068;7
2.063,9
2,492,
2t7969
2.0595
2:4851
2,,7:8:14
,2,0555
2,4786
2.4727
2.4671
7,77,W
20
21
22
23
24
25
26
27
28
29
30
0.6840,
O:6837
0,6834-
0,6830
0,6,928
il.3163
1.3150 1.7056
1.3137 1.7033
.a125 1.701
l.stt+ ' r.699r
1.3104 "1.6973
1
1
210518
2:0484
2.A452
'23467
,, ,2:9208
2.5669.. 2;8982
2,5524,, ',, ' 218784
2'5395,"
,
",'
2.86O9
2.,528i,0: ,, ,' .2.845,3.
2.4620
2.7707
2-7633
2,;7564
2,457.3
2,75A:A:
,2.74:40
31
O.OtZS
1i.3095
1.6955
32
JJ
34
35
a;6822
1,3086
1.6939
0:68-20
i,;3077
t.6924
,2.0423,
2.0395
2.0369
2,0345
0.6818
1.3070
'2,,0322
0:6s16,
T.3062
1,6909
1.6896
2,452&
2tM:87
2,4448
2,4411
2:4301
:2.;4377
2:7238
,2,0281
,2.A262
2.4345
2,431+
2..7t95
2,71t6
36
5t
0,6814
0.6812
0:6810
1,6883
1.6871
1:6860
1.6849
2.A244
2.4286]
2.A27:7
2;4258
2,7A79
1,68'39
2,0211
7,4233,
'2',7045
2.4208
40
0.6807
4t
0.6805
0;6804
0.6802
0.6801
0,6800
i,3ozs
1,6829
2.0t95
1.3020
1.3016
1.3011
1.3006
1:6820
2.0181
1:6811
1.6802
2.0167
1.6794
2.0141
46
47
0.6799
1.3002
t.6787
2.A129
0.6'197
t.6'779
2.Ott7
48
t.6't"t?
49
0:6796
0.6795
1.2998
1,2994
1.2991
1.6766
50
0;6'194
r.2987
1.6759
2.0106
2.A096
2.0086
42
43
44
45
0i.6808
2,,7284
1.3,055
1.3049
1,3042
1,3036
1.3031
38
39
'2;.1385
2.'711.3
2.a154
2:.71'54
,' 2.7012
2.69811
2,4163 , ' ,,'2.69,57
2,6923
2:4141 ,
2.4121 2;6896
2.4rc2 2.6870
2.4083 2.6846
2.4A66 ' ', 2.6822
2.6800
2.4A49 '
2.4033 .2.6778
2.4t85 ,: ,
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