Critical Values for t Distribution

80%

90%

95%

98%

99%

99.9%

df

0.05

0.025

0.01

0.005

0.0005

0.2

0.1

0.05

0.02

0.01

0.001

1

3.078

6.314

12.706

31.821

63.657

636.619

2

1.886

2.92

4.303

6.965

9.925

31.599

3

1.638

2.353

3.182

4.541

5.841

12.924

4

1.533

2.132

2.776

3.747

4.604

8.61

5

1.476

2.015

2.571

3.365

4.032

6.869

6

1.44

1.943

2.447

3.143

3.707

5.959

7

1.415

1.895

2.365

2.998

3.499

5.408

8

1.397

1.86

2.306

2.896

3.355

5.041

9

1.383

1.833

2.262

2.821

3.25

4.781

10

1.372

1.812

2.228

2.764

3.169

4.587

11

1.363

1.796

2.201

2.718

3.106

4.437

12

1.356

1.782

2.179

2.681

3.055

4.318

13

1.35

1.771

2.16

2.65

3.012

4.221

14

1.345

1.761

2.145

2.624

2.977

4.14

15

1.341

1.753

2.131

2.602

2.947

4.073

16

1.337

1.746

2.12

2.583

2.921

4.015

17

1.333

1.74

2.11

2.567

2.898

3.965

18

1.33

1.734

2.101

2.552

2.878

3.922

19

1.328

1.729

2.093

2.539

2.861

3.883

20

1.325

1.725

2.086

2.528

2.845

3.85

21

1.323

1.721

2.08

2.518

2.831

3.819

22

1.321

1.717

2.074

2.508

2.819

3.792

23

1.319

1.714

2.069

2.5

2.807

3.768

24

1.318

1.711

2.064

2.492

2.797

3.745

25

1.316

1.708

2.06

2.485

2.787

3.725

26

1.315

1.706

2.056

2.479

2.779

3.707

27

1.314

1.703

2.052

2.473

2.771

3.69

28

1.313

1.701

2.048

2.467

2.763

3.674

29

1.311

1.699

2.045

2.462

2.756

3.659

30

1.31

1.697

2.042

2.457

2.75

3.646

40

1.303

1.684

2.021

2.423

2.704

3.551

60

1.296

1.671

2

2.39

2.66

3.46

120

1.289

1.658

1.98

2.358

2.617

3.373