常用统计量分布表.docx

常用统计量分布表.docx

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常用统计量分布表

附表1标准正态分布表

x

0.00

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

0.09

0.00

0.500000

0.503989

0.507978

0.511966

0.515953

0.519939

0.523922

0.527903

0.531881

0.535856

0.10

0.539828

0.543795

0.547758

0.551717

0.555670

0.559618

0.563559

0.567495

0.571424

0.575345

0.20

0.579260

0.583166

0.587064

0.590954

0.594835

0.598706

0.602568

0.606420

0.610261

0.614092

0.30

0.617911

0.621720

0.625516

0.629300

0.633072

0.636831

0.640576

0.644309

0.648027

0.651732

0.40

0.655422

0.659097

0.662757

0.666402

0.670031

0.673645

0.677242

0.680822

0.684386

0.687933

0.50

0.691462

0.694974

0.698468

0.701944

0.705401

0.708840

0.712260

0.715661

0.719043

0.722405

0.60

0.725747

0.729069

0.732371

0.735653

0.738914

0.742154

0.745373

0.748571

0.751748

0.754903

0.70

0.758036

0.761148

0.764238

0.767305

0.770350

0.773373

0.776373

0.779350

0.782305

0.785236

0.80

0.788145

0.791030

0.793892

0.796731

0.799546

0.802337

0.805105

0.807850

0.810570

0.813267

0.90

0.815940

0.818589

0.821214

0.823814

0.826391

0.828944

0.831472

0.833977

0.836457

0.838913

1.00

0.841345

0.843752

0.846136

0.848495

0.850830

0.853141

0.855428

0.857690

0.859929

0.862143

1.10

0.864334

0.866500

0.868643

0.870762

0.872857

0.874928

0.876976

0.879000

0.881000

0.882977

1.20

0.884930

0.886861

0.888768

0.890651

0.892512

0.894350

0.896165

0.897958

0.899727

0.901475

1.30

0.903200

0.904902

0.906582

0.908241

0.909877

0.911492

0.913085

0.914657

0.916207

0.917736

1.40

0.919243

0.920730

0.922196

0.923641

0.925066

0.926471

0.927855

0.929219

0.930563

0.931888

1.50

0.933193

0.934478

0.935745

0.936992

0.938220

0.939429

0.940620

0.941792

0.942947

0.944083

续表

x

0.00

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

0.09

1.60

0.945201

0.946301

0.947384

0.948449

0.949497

0.950529

0.951543

0.952540

0.953521

0.954486

1.70

0.955435

0.956367

0.957284

0.958185

0.959070

0.959941

0.960796

0.961636

0.962462

0.963273

1.80

0.964070

0.964852

0.965620

0.966375

0.967116

0.967843

0.968557

0.969258

0.969946

0.970621

1.90

0.971283

0.971933

0.972571

0.973197

0.973810

0.974412

0.975002

0.975581

0.976148

0.976705

2.00

0.977250

0.977784

0.978308

0.978822

0.979325

0.979818

0.980301

0.980774

0.981237

0.981691

2.10

0.982136

0.982571

0.982997

0.983414

0.983823

0.984222

0.984614

0.984997

0.985371

0.985738

2.20

0.986097

0.986447

0.986791

0.987126

0.987455

0.987776

0.988089

0.988396

0.988696

0.988989

2.30

0.989276

0.989556

0.989830

0.990097

0.990358

0.990613

0.990863

0.991106

0.991344

0.991576

2.40

0.991802

0.992024

0.992240

0.992451

0.992656

0.992857

0.993053

0.993244

0.993431

0.993613

2.50

0.993790

0.993963

0.994132

0.994297

0.994457

0.994614

0.994766

0.994915

0.995060

0.995201

2.60

0.995339

0.995473

0.995604

0.995731

0.995855

0.995975

0.996093

0.996207

0.996319

0.996427

2.70

0.996533

0.996636

0.996736

0.996833

0.996928

0.997020

0.997110

0.997197

0.997282

0.997365

2.80

0.997445

0.997523

0.997599

0.997673

0.997744

0.997814

0.997882

0.997948

0.998012

0.998074

2.90

0.998134

0.998193

0.998250

0.998305

0.998359

0.998411

0.998462

0.998511

0.998559

0.998605

3.00

0.998650

0.998694

0.998736

0.998777

0.998817

0.998856

0.998893

0.998930

0.998965

0.998999

3.10

0.999032

0.999065

0.999096

0.999126

0.999155

0.999184

0.999211

0.999238

0.999264

0.999289

3.20

0.999313

0.999336

0.999359

0.999381

0.999402

0.999423

0.999443

0.999462

0.999481

0.999499

3.30

0.999517

0.999534

0.999550

0.999566

0.999581

0.999596

0.999610

0.999624

0.999638

0.999651

3.40

0.999663

0.999675

0.999687

0.999698

0.999709

0.999720

0.999730

0.999740

0.999749

0.999758

3.50

0.999767

0.999776

0.999784

0.999792

0.999800

0.999807

0.999815

0.999822

0.999828

0.999835

3.60

0.999841

0.999847

0.999853

0.999858

0.999864

0.999869

0.999874

0.999879

0.999883

0.999888

续表

x

0.00

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

0.09

3.70

0.999892

0.999896

0.999900

0.999904

0.999908

0.999912

0.999915

0.999918

0.999922

0.999925

3.80

0.999928

0.999931

0.999933

0.999936

0.999938

0.999941

0.999943

0.999946

0.999948

0.999950

3.90

0.999952

0.999954

0.999956

0.999958

0.999959

0.999961

0.999963

0.999964

0.999966

0.999967

4.00

0.999968

0.999970

0.999971

0.999972

0.999973

0.999974

0.999975

0.999976

0.999977

0.999978

4.10

0.999979

0.999980

0.999981

0.999982

0.999983

0.999983

0.999984

0.999985

0.999985

0.999986

4.20

0.999987

0.999987

0.999988

0.999988

0.999989

0.999989

0.999990

0.999990

0.999991

0.999991

4.30

0.999991

0.999992

0.999992

0.999993

0.999993

0.999993

0.999993

0.999994

0.999994

0.999994

4.40

0.999995

0.999995

0.999995

0.999995

0.999996

0.999996

0.999996

0.999996

0.999996

0.999996

4.50

0.999997

0.999997

0.999997

0.999997

0.999997

0.999997

0.999997

0.999998

0.999998

0.999998

4.60

0.999998

0.999998

0.999998

0.999998

0.999998

0.999998

0.999998

0.999998

0.999999

0.999999

4.70

0.999999

0.999999

0.999999

0.999999

0.999999

0.999999

0.999999

0.999999

0.999999

0.999999

4.80

0.999999

0.999999

0.999999

0.999999

0.999999

0.999999

0.999999

0.999999

0.999999

0.999999

4.90

1.000000

1.000000

1.000000

1.000000

1.000000

1.000000

1.000000

1.000000

1.000000

1.000000

注：

本表对于x给出正态分布函数

的数值

例：

对于x=1.33，

=0.908241

附表2t分布表

自由度n

0.05

0.025

0.01

0.005

自由度n

0.05

0.025

0.01

0.005

1

3.0777

6.3138

12.7062

31.8205

63.6567

24

1.3178

1.7109

2.0639

2.4922

2.7969

2

1.8856

2.9200

4.3027

6.9646

9.9248

25

1.3163

1.7081

2.0595

2.4851

2.7874

3

1.6377

2.3534

3.1824

4.5407

5.8409

4

1.5332

2.1318

2.7764

3.7469

4.6041

26

1.3150

1.7056

2.0555

2.4786

2.7787

5

1.4759

2.0150

2.5706

3.3649

4.0321

27

1.3137

1.7033

2.0518

2.4727

2.7707

28

1.3125

1.7011

2.0484

2.4671

2.7633

6

1.4398

1.9432

2.4469

3.1427

3.7074

29

1.3114

1.6991

2.0452

2.4620

2.7564

7

1.4149

1.8946

2.3646

2.9980

3.4995

30

1.3104

1.6973

2.0423

2.4573

2.7500

8

1.3968

1.8595

2.3060

2.8965

3.3554

9

1.3830

1.8331

2.2622

2.8214

3.2498

31

1.3095

1.6955

2.0395

2.4528

2.7440

10

1.3722

1.8125

2.2281

2.7638

3.1693

32

1.3086

1.6939

2.0369

2.4487

2.7385

33

1.3077

1.6924

2.0345

2.4448

2.7333

11

1.3634

1.7959

2.2010

2.7181

3.1058

34

1.3070

1.6909

2.0322

2.4411

2.7284

12

1.3562

1.7823

2.1788

2.6810

3.0545

35

1.3062

1.6896

2.0301

2.4377

2.7238

13

1.3502

1.7709

2.1604

2.6503

3.0123

14

1.3450

1.7613

2.1448

2.6245

2.9768

36

1.3055

1.6883

2.0281

2.4345

2.7195

15

1.3406

1.7531

2.1314

2.6025

2.9467

37

1.3049

1.6871

2.0262

2.4314

2.7154

38

1.3042

1.6860

2.0244

2.4286

2.7116

16

1.3368

1.7459

2.1199

2.5835

2.9208

39

1.3036

1.6849

2.0227

2.4258

2.7079

17

1.3334

1.7396

2.1098

2.5669

2.8982

40

1.3031

1.6839

2.0211

2.4233

2.7045

续表

自由度n

0.05

0.025

0.01

0.005

自由度n

0.05

0.025

0.01

0.005

18

1.3304

1.7341

2.1009

2.5524

2.8784

19

1.3277

1.7291

2.0930

2.5395

2.8609

41

1.3025

1.6829

2.0195

2.4208

2.7012

20

1.3253

1.7247

2.0860

2.5280

2.8453

42

1.3020

1.6820

2.0181

2.4185

2.6981

43

1.3016

1.6811

2.0167

2.4163

2.6951

21

1.3232

1.7207

2.0796

2.5176

2.8314

44

1.3011

1.6802

2.0154

2.4141

2.6923

22

1.3212

1.7171

2.0739

2.5083

2.8188

45

1.3006

1.6794

2.0141

2.4121

2.6896

23

1.3195

1.7139

2.0687

2.4999

2.8073

附表3

分布表

n

=0.995

0.99

0.975

0.95

0.90

0.75

0.25

0.1

0.05

0.025

0.01

0.005

1

—

—

0.001

0.004

0.016

0.102

1.323

2.706

3.841

5.024

6.635

7.879

2

0.010

0.020

0.051

0.103

0.211

0.575

2.773

4.605

5.991

7.378

9.210

10.597

3

0.072

0.115

0.216

0.352

0.584

1.213

4.108

6.251

7.815

9.348

11.345

12.838

4

0.207

0.297

0.484

0.711

1.064

1.923

5.385

7.779

9.488

11.143

13.277

14.860

5

0.412

0.554

0.831

1.145

1.610

2.675

6.626

9.236

11.070

12.833

15.086

16.750

6

0.676

0.872

1.237

1.635

2.204

3.455

7.841

10.645

12.592

14.449

16.812

18.548

7

0.989

1.239

1.690

2.167

2.833

4.255

9.037

12.017

14.067

16.013

18.475

20.278

8

1.344

1.646

2.180

2.733

3.490

5.071

10.219

13.362

15.507

17.535

20.090

21.955

9

1.735

2.088

2.700

3.325

4.168

5.899

11.389

14.684

16.919

19.023

21.666

23.589

10

2.156

2.558

3.247

3.940

4.865

6.737

12.549

15.987

18.307

20.483

23.209

25.188

11

2.603

3.053

3.816

4.575

5.578

7.584

13.701

17.275

19.675

21.920

24.725

26.757

12

3.074

3.571

4.404

5.226

6.304

8.438

14.845

18.549

21.026

23.337

26.217

28.300

13

3.565

4.107

5.009

5.892

7.042

9.299

15.984

19.812

22.362