Student’s t table – values for tail probabilities

Degrees of freedom

10%

5%

2.50%

1%

0.50%

0.10%

0.05%

1

3.078

6.314

12.706

31.821

63.657

318.309

636.619

2

1.886

2.920

4.303

6.965

9.925

22.327

31.599

3

1.638

2.353

3.182

4.541

5.841

10.215

12.924

4

1.533

2.132

2.776

3.747

4.604

7.173

8.610

5

1.476

2.015

2.571

3.365

4.032

5.893

6.869

6

1.440

1.943

2.447

3.143

3.707

5.208

5.959

7

1.415

1.895

2.365

2.998

3.499

4.785

5.408

8

1.397

1.860

2.306

2.896

3.355

4.501

5.041

9

1.383

1.833

2.262

2.821

3.250

4.297

4.781

10

1.372

1.812

2.228

2.764

3.169

4.144

4.587

11

1.363

1.796

2.201

2.718

3.106

4.025

4.437

12

1.356

1.782

2.179

2.681

3.055

3.930

4.318

13

1.350

1.771

2.160

2.650

3.012

3.852

4.221

14

1.345

1.761

2.145

2.624

2.977

3.787

4.140

15

1.341

1.753

2.131

2.602

2.947

3.733

4.073

16

1.337

1.746

2.120

2.583

2.921

3.686

4.015

17

1.333

1.740

2.110

2.567

2.898

3.646

3.965

18

1.330

1.734

2.101

2.552

2.878

3.610

3.922

19

1.328

1.729

2.093

2.539

2.861

3.579

3.883

20

1.325

1.725

2.086

2.528

2.845

3.552

3.850

21

1.323

1.721

2.080

2.518

2.831

3.527

3.819

22

1.321

1.717

2.074

2.508

2.819

3.505

3.792

23

1.319

1.714

2.069

2.500

2.807

3.485

3.768

24

1.318

1.711

2.064

2.492

2.797

3.467

3.745

25

1.316

1.708

2.060

2.485

2.787

3.450

3.725

26

1.315

1.706

2.056

2.479

2.779

3.435

3.707

27

1.314

1.703

2.052

2.473

2.771

3.421

3.690

28

1.313

1.701

2.048

2.467

2.763

3.408

3.674

29

1.311

1.699

2.045

2.462

2.756

3.396

3.659

30

1.310

1.697

2.042

2.457

2.750

3.385

3.646

40

1.303

1.684

2.021

2.423

2.704

3.307

3.551

60

1.296

1.671

2.000

2.390

2.660

3.232

3.460

120

1.289

1.658

1.980

2.358

2.617

3.160

3.373

Infinity

1.282

1.645

1.960

2.326

2.576

3.090

3.291