Статистические методы. Правила определения и методы расчета статистических характеристик по выборочным данным. Часть 1. Нормальное распределение

Квантили -распределения уровня =0,975 для степеней свободы

1

2

3

4

5

6

7

8

9

10

12

15

20

24

30

40

60

120

1

647,79

799,50

864,16

899,58

921,85

937,11

948,22

956,66

963,28

968,63

976,71

984,87

993,10

997,25

1001,4

1005,6

1009,8

1014,0

1018,3

2

38,506

39,000

39,165

39,248

39,298

39,331

39,355

39,373

39,387

39,398

39,415

39,431

39,448

39,456

39,465

39,473

39,481

39,490

39,498

3

17,443

16,044

15,439

15,101

14,885

14,735

14,624

14,540

14,473

14,419

14,337

14,253

14,167

14,124

14,081

14,037

13,992

13,947

13,902

4

12,218

10,649

9,9792

9,6045

9,3645

9,1973

9,0741

8,9796

8,9047

8,8439

8,7512

8,6565

8,5599

8,5109

8,4613

8,4111

8,3604

8,3092

8,2573

5

10,007

8,4336

7,7636

7,3879

7,1464

6,9777

6,8531

6,7572

6,6810

6,6192

6,5246

6,4227

6,3285

6,2780

6,2269

6,1752

6,1225

6,0693

6,0153

6

8,8131

7,2598

6,5988

6,2272

5,9876

5,8197

5,6955

5,5996

5,5234

5,4613

5,3662

5,2687

5,1684

5,1172

5,0652

5,0125

4,9587

4,9045

4,8491

7

8,0727

6,5415

5,8898

5,5226

5,2852

5,1186

4,9949

4,8994

4,8232

4,7611

4,6658

4,5678

4,4667

4,4150

4,3624

4,3089

4,2544

4,1989

4,1423

8

7,5709

6,0595

5,4160

5,0526

4,8173

4,6517

4,5286

4,4332

4,3572

4,2951

4,1997

4,1012

3,9995

3,9472

3,8940

3,8398

3,7844

3,7279

3,6702

9

7,2093

5,7147

5,0781

4,7181

4,4844

4,3197

4,1971

4,1020

4,0260

3,9639

3,8682

3,7694

3,6669

3,6142

3,5604

3,5055

3,4493

3,3918

3,3329

10

6,9367

5,4564

4,8256

4,4683

4,2361

4,0721

3,9498

3,8549

3,7790

3,7168

3,6209

3,5217

3,4186

3,3654

3,3110

3,2554

3,1984

3,1399

3,0798

11

6,7241

5,2559

4,6300

4,2751

4,0440

3,8807

3,7586

3,6638

3,5879

3,5257

3,4296

3,3299

3,2261

3,1725

3,1176

3,0613

3,0035

2,9441

2,8828

12

6,5538

5,0959

4,4742

4,1212

3,8911

3,7283

3,6065

3,5118

3,4358

3,3736

3,2773

3,1772

3,0728

3,0187

2,9633

2,9063

2,8478

2,7874

2,7249

13

6,4143

4,9653

4,3472

3,9959

3,7667

3,6043

3,4827

3,3880

3,3120

3,2497

3,1532

3,0527

2,9477

2,8932

2,8373

2,7797

2,7204

2,6590

2,5955

14

6,2979

4,8567

4,2417

3,8919

3,6634

3,5014

3,3799

3,2853

3,2093

3,1469

3,0501

2,9493

2,8437

2,7888

2,7324

2,6742

2,6142

2,5519

2,4872

15

6,1995

4,7650

4,1528

3,8043

3,5764

3,4147

3,2934

3,1987

3,1227

3,0602

2,9633

2,8621

2,7559

2,7006

2,6437

2,5850

2,5242

2,4611

2,3953

16

6,1151

4,6867

4,0768

3,7294

3,5021

3,3406

3,2194

3,1248

3,0488

2,9862

2,8890

2,7875

2,6808

2,6252

2,5678

2,5085

2,4471

2,3831

2,3163

17

6,0420

4,6189

4,0112

3,6648

3,4379

3,2767

3,1556

3,0610

2,9849

2,9222

2,8249

2,7230

2,6158

2,5598

2,5021

2,4422

2,3801

2,3154

2,2474

18

5,9781

4,5597

3,9539

3,6083

3,3820

3,2209

3,0999

3,0053

2,9291

2,8664

2,7689

2,6667

2,5590

2,5027

2,4445

2,3842

2,3214

2,2558

2,1869

19

5,9216

4,5075

3,9034

3,5587

3,3327

3,1718

3,0509

2,9563

2,8800

2,8173

2,7196

2,6171

2,5089

2,4523

2,3937

2,3329

2,2695

2,2032

2,1333

20

5,8715

4,4613

5,8587

3,5147

3,2891

3,1283

3,0074

2,9128

2,8365

2,7737

2,6758

2,5731

2,4645

2,4076

2,3486

2,2873

2,2234

2,1562

2,0853

21

5,8266

4,4199

3,8188

3,4754

3,2501

3,0895

2,9686

2,8740

2,7977

2,7348

2,6368

2,5338

2,4247

2,3675

2,3082

2,2465

2,1819

2,1141

2,0422

22

5,7863

4,3828

3,7829

3,4401

3,2151

3,0546

2,9338

2,8392

2,7628

2,6998

2,6017

2,4984

2,3890

2,3315

2,2718

2,2097

2,1446

2,0760

2,0032

23

5,7498

4,3492

3,7505

3,4083

3,1835

3,0232

2,9024

2,8077

2,7313

2,6682

2,5699

2,4665

2,3567

2,2989

2,2389

2,1767

2,1107

2,0415

1,9677

24

5,7167

4,3187

3,7211

3,3794

3,1548

3,9946

2,8738

2,7791

2,7027

2,6396

2,5412

2,4374

2,3273

2,2693

2,2090

2,1460

2,0799

2,0099

1,9353

25

5,6864

4,2909

3,6943

3,3530

3,1287

2,9685

2,8478

2,7531

2,6766

2,6135

2,5149

2,4110

2,3005

2,2422

2,1816

2,1183

2,0517

1,9811

1,9055

26

5,6586

4,2655

3,6697

3,3289

3,1048

2,9447

2,8240

2,7293

2,6528

2,5895

2,4909

2,3867

2,2759

2,2174

2,1565

2,0928

2,0257

1,9545

1,8781

27

5,6331

4,2421

3,6472

3,3067

3,0828

2,9228

2,8021

2,7074

2,6309

2,5676

2,4688

2,3644

2,2533

2,1946

2,1334

2,0693

2,0018

1,9299

1,8527

28

5,6096

4,2205

3,6264

3,2863

3,0625

2,9027

2,7820

2,6872

2,6106

2,5473

2,4484

2,3438

2,2324

2,1735

2,1121

2,0477

1,9796

1,9072

1,8291

29

5,5878

4,2006

3,6072

3,2674

3,0438

2,8840

2,7633

2,6686

2,5919

2,5286

2,4295

2,3248

2,2131

2,1540

2,0923

2,0276

1,9591

1,8861

1,8072

30

5,5675

4,1821

3,5894

3,2499

3,0265

2,8667

2,7460

2,6513

2,5746

2,5112

2,4120

2,3072

2,1952

2,1359

2,0739

2,0089

1,9400

1,8664

1,7867

40

5,4239

4,0510

3,4633

3,1261

2,9037

2,7444

2,6238

2,5289

2,4519

2,3882

2,2882

2,1819

2,0677

2,0069

1,9429

1,8752

1,8028

1,7242

1,6371

60

5,2857

3,9253

3,3425

3,0077

2,7863

2,6274

2,5068

2,4117

2,3344

2,2702

2,1692

2,0613

1,9445

1,8817

1,8152

1,7440

1,6668

1,5810

1,4822

120

5,1524

3,8046

3,2270

2,8943

2,6740

2,5154

2,3948

2,2994

2,2217

2,1570

2,0548

1,9450

1,8249

1,7597

1,6899

1,6141

1,5299

1,4327

1,3104

5,0239

3,6889

3,1161

2,7858

2,5665

2,4082

2,2875

2,1918

2,1136

2,0483

1,9447

1,8326

1,7085

1,6402

1,5660

1,4835

1,3883

1,2684

1,0000