Y / α

0.995

0.99

0.98

0.975

0.95

0.90

0.80

0.75

0.70

0.50

1

0.00004

0.000

0.001

0.001

0.004

0.016

0.064

0.102

0.148

0.455

2

0.0100

0.020

0.040

0.051

0.103

0.211

0.446

0.575

0.713

1.386

3

0.0717

0.115

0.185

0.216

0.352

0.584

1.005

1.213

1.424

2.366

4

0.207

0.297

0.429

0.484

0.711

1.064

1.649

1.923

2.195

3.357

5

0.412

0.554

0.752

0.831

1.145

1.610

2.343

2.675

3.000

4.351

6

0.676

0.872

1.134

1.237

1.635

2.204

3.070

3.455

3.828

5.348

7

0.989

1.239

1.564

1.690

2.167

2.833

3.822

4.255

4.671

6.346

8

1.344

1.646

2.032

2.180

2.733

3.490

4.594

5.071

5.527

7.344

9

1.735

2.088

2.532

2.700

3.325

4.168

5.380

5.899

6.393

8.343

10

2.156

2.558

3.059

3.247

3.940

4.865

6.179

6.737

7.267

9.342

11

2.603

3.053

3.609

3.816

4.575

5.578

6.989

7.584

8.148

10.341

12

3.074

3.571

4.178

4.404

5.226

6.304

7.807

8.438

9.034

11.340

13

3.565

4.107

4.765

5.009

5.892

7.042

8.634

9.299

9.926

12.340

14

4.075

4.660

5.368

5.629

6.571

7.790

9.467

10.165

10.821

13.339

15

4.601

5.229

5.985

6.262

7.261

8.547

10.307

11.037

11.721

14.339

16

5.142

5.812

6.614

6.908

7.962

9.312

11.152

11.912

12.624

15.338

17

5.697

6.408

7.255

7.564

8.672

10.085

12.002

12.792

13.531

16.338

18

6.265

7.015

7.906

8.231

9.390

10.865

12.857

13.675

14.440

17.338

19

6.844

7.633

8.567

8.907

10.117

11.651

13.716

14.562

15.352

18.338

20

7.434

8.260

9.237

9.591

10.851

12.443

14.578

15.452

16.266

19.337

21

8.034

8.897

9.915

10.283

11.591

13.240

15.445

16.344

17.182

20.337

22

8.643

9.542

10.600

10.982

12.338

14.041

16.314

17.240

18.101

20.337

23

9.260

10.196

11.293

11.689

13.091

14.848

17.187

18.137

19.021

22.337

24

9.886

10.856

11.992

12.401

13.848

15.659

18.062

19.037

19.943

23.337

25

10.520

11.524

12.697

13.120

14.611

16.473

18.940

19.939

20.867

24.337

26

11.160

12.198

13.409

13.844

15.379

17.292

19.820

20.843

21.792

25.336

27

11.808

12.879

14.125

14.573

16.151

18.114

20.703

21.749

22.719

26.336

28

12.461

13.565

14.847

15.308

16.928

18.939

21.588

22.657

23.647

27.336

29

13.121

14.256

15.574

16.047

17.708

19.768

22.475

23.567

23.577

28.336

30

13.787

14.953

16.306

16.791

18.493

20.599

23.364

24.478

25.508

29.336



y

0.30

0.25

0.20

0.10

0.05

0.025

0.02

0.01

0.005

0.001

1

1.074

1.323

1.642

2.706

3.841

5.024

5.412

6.635

7.879

10.828

2

2.408

2.773

3.219

4.605

5.991

7.378

7.824

9.210

10.597

13.816

3

3.665

4.108

4.642

6.251

7.815

9.348

9.837

11.345

12.838

16.266

4

4.878

5.385

5.989

7.779

9.488

11.143

11.668

13.277

14.860

18.467

5

6.064

6.626

7.289

9.236

11.070

12.833

13.388

15.086

16.750

20.515

6

7.231

7.841

8.558

10.645

12.592

14.449

15.033

16.812

18.548

22.458

7

8.383

9.037

9.803

12.017

14.067

16.013

16.622

18.475

20.278

24.322

8

9.524

10.219

11.030

13.362

15.507

17.535

18.168

20.090

21.955

26.124

9

10.656

11.389

12.242

14.684

16.919

19.023

19.679

21.666

23.589

27.877

10

11.781

12.549

13.442

15.987

18.307

20.483

21.161

23.209

25.188

29.588

11

12.899

13.701

14.631

17.275

19.675

21.920

22.618

24.725

26.757

31.264

12

14.011

14.845

15.812

18.549

21.026

23.337

24.054

26.217

28.300

32.909

13

15.119

15.984

16.985

19.812

22.362

24.736

25.472

27.688

29.819

34.528

14

16.222

17.117

18.151

21.064

23.685

26.119

26.873

29.141

31.319

36.123

15

17.322

18.245

19.311

22.307

24.996

27.488

28.259

30.578

32.801

37.697

16

18.418

19.369

20.465

23.542

26.296

28.845

29.633

32.000

34.267

39.252

17

19.511

20.489

21.615

24.769

27.587

30.191

30.995

33.409

35.718

40.790

18

20.601

21.605

22.760

25.989

28.869

31.526

32.346

34.805

37.156

42.312

19

21.689

22.718

23.900

27.204

30.144

32.852

33.687

36.191

38.582

43.820

20

22.775

23.828

25.038

28.412

31.410

34.170

35.020

37.566

39.997

45.315

21

23.858

24.935

26.171

29.615

32.671

35.479

36.343

38.932

41.401

46.797

22

24.939

26.039

27.301

30.813

33.924

36.781

37.659

40.289

42.796

48.268

23

26.018

27.141

28.429

32.007

35.172

38.076

38.968

41.638

44.181

49.728

24

27.096

28.241

29.553

33.196

36.415

39.364

40.270

42.980

45.559

51.179

25

28.172

29.339

30.675

34.382

37.652

40.646

41.566

44.314

46.928

52.620

26

29.246

30.435

31.795

35.563

38.885

41.923

42.856

45.642

48.290

54.052

27

30.319

31.528

32.912

36.741

40.113

43.195

44.140

46.963

49.645

55.476

28

31.391

32.620

34.027

37.916

41.337

44.461

45.419

48.278

50.993

56.892

29

32.461

33.711

35.139

39.087

42.557

45.722

46.693

49.588

52.336

58.301

30

33.530

34.800

36.250

40.256

43.773

46.979

47.962

50.892

53.672

59.703