Student's t - Distribution Tables

Comparing a t Distribution with Five Degrees of Freedom with the Standard Normal Distribution Table of the Upper Percentage Points of the Student's t Distribution

df

Critical Values of Student's t

1-tailed

.10

.05

.025

.01

.005

.0005

2-tailed

.20

.10

.05

.02

.01

.001

1

3.078

6.314

12.706

31.821

63.657

636.619

2

1.886

2.920

4.303

6.965

9.925

31.598

3

1.683

2.353

3.182

4.5415

5.841

12.941

4

1.533

2.132

2.776

3.747

4.604

8.610

5

1.476

2.015

2.571

3.365

4.032

6.859

6

1.440

1.943

2.447

3.143

3.707

5.959

7

1.415

1.895

2.365

2.998

3.499

5.405

8

1.397

1.860

2.306

2.896

3.355

5.041

9

1.383

1.833

2.262

2.821

3.250

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

1.350

1.771

2.160

2.650

3.012

4.221

14

1.345

1.761

2.145

2.624

2.977

4.140

15

1.341

1.753

2.131

2.602

2.947

4.073

16

1.337

1.746

2.120

2.583

2.921

4.015

17

1.333

1.740

2.110

2.567

2.898

3.965

18

1.330

1.734

2.101

2.552

2.878

3.922

19

1.328

1.729

2.093

2.539

2.861

4.883

20

1.325

1.725

2.086

2.528

2.845

3.850

21

1.323

1.721

2.080

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

2.500

2.807

3.767

24

1.318

1.711

2.064

2.492

2.797

3.745

25

1.316

1.708

2.060

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

3.690

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

1.310

1.697

2.042

2.457

2.750

3.646

35

1.31

1.69

2.030

2.438

2.724

3.591

40

1.303

1.684

2.021

2.423

2.704

3.551

45

1.301

1.679

2.014

2.412

2.69

3.520

50

1.299

1.676

2.009

2.403

2.678

3.496

55

1.297

1.673

2.004

2.396

2.668

3.476

60

1.296

1.671

2.000

2.390

2.660

3.460

65

1.295

1.669

1.997

2.385

2.654

3.447

70

1.294

1.667

1.994

2.381

2.648

3.435

75

1.293

1.665

1.992

2.377

2.643

3.425

80

1.292

1.664

1.990

2.374

2.639

3.416

85

1.292

1.663

1.988

2.371

2.635

3.409

90

1.291

.662

1.987

2.368

2.632

3.402

95

1.291

1.661

1.985

2.366

2.629

3.396

100

1.290

1.660

1.984

2.364

2.626

3.390

120

1.289

1.658

1.980

2.358

2.617

3.373

Inf

1.282

1.645

1.960

2.236

2.576

3.291

1-tailed

.10

.05

.025

.01

.005

.0005

2-tailed

.20

.10

.05

.02

.01

.001