〔부록:통계분포표〕 · 2020. 8. 5. · t 분포표(1) 자유도ν와 양쪽확률 α에서 tα/2 ()ν와t12−α/ ()ν를구하는표 α ν 0.50 0.40 0.30

Page 1

〔 부록 : 통계 분포표 〕

구 분 통계분포표 내용

SQC통계

분포표

<부표 1> 정규분포표 (1) / A-02

<부표 2> 정규분포표 (2) / A-03

<부표 3> 정규분포표 (3) / A-04

<부표 4> 정규분포표 (4) / A-04

<부표 5> t분포표 (1) / A-05

<부표 6> t분포표 (2) / A-06

<부표 7> χ 2분포표 / A-07

<부표 8> F분포표 (10%) / A-08

<부표 9> F분포표 (5%) / A-09

<부표 10> F분포표 (2.5%) / A-10

<부표 11> F분포표 (1%) / A-11

<부표 12> r 분포표 / A-12

<부표 13> 슈하트 관리도용 계수표 (1) / A-13

<부표 14> 슈하트 관리도용 계수표 (2) / A-13

<부표 15> 범위( R )을 사용하는 검정 보조표 / A-14

<부표 16> 누적이항분포표 / A-15

<부표 17> 누적포아송분포표 / A-17

<부표 18> 이항계수표 / A-19

신뢰성

분포표

<부표 19> 정규확률분포표 / A-20

<부표 20> 정규누적확률분포표 / A-21

<부표 21> 감마함수표 / A-22

<부표 22> MTBF(지수분포) 구간추정 계수표 (정시중단) / A-23

<부표 23> MTBF(지수분포) 구간추정 계수표 (정수중단) / A-24

실험계획

분포표

<부표 24> 오메가 변환표 / A-25

<부표 25> 데시벨(dB)표 / A-28

<부표 26> 자연대수표 / A-31

통계분포표 목차 / A-01

Page 2

<부표 1> 정규분포표 (1)

표준화 정규분포표의 확률변수 U 가 u1−α 값

이상이 될 상측 한쪽확률 α 를 구하는 표

u *=0 *=1 *=2 *=3 *=4 *=5 *=6 *=7 *=8 *=9

0.0*

0.1*

0.2*

0.3*

0.4*

0.5*

0.6*

0.7*

0.8*

0.9*

1.0*

1.1*

1.2*

1.3*

1.4*

1.5*

1.6*

1.7*

1.8*

1.9*

2.0*

2.1*

2.2*

2.3*

2.4*

2.5*

2.6*

2.7*

2.8*

2.9*

3.0*

.5000

.4602

.4207

.3821

.3466

.3085

.2743

.2402

.2119

.1841

.1587

.1357

.1151

.0968

.0808

.0668

.0548

.0446

.0359

.0287

.0228

.0179

.0139

.0107

.0082

.0062

.0047

.0035

.0026

.0019

.0013

.4960

.4562

.4168

.3783

.3409

.3050

.2709

.2389

.2090

.1814

.1562

.1335

.1131

.0951

.0793

.0655

.0537

.0436

.0351

.0281

.0222

.0174

.0136

.0104

.0080

.0060

.0045

.0034

.0025

.0018

.0013

.4920

.4522

.4129

.3745

.3372

.3015

.2676

.2358

.2061

.1788

.1539

.1314

.1112

.0934

.0078

.0643

.0526

.0427

.0344

.0274

.0217

.0170

.0132

.0102

.0078

.0059

.0044

.0033

.0024

.0018

.0013

.4880

.4483

.4090

.3707

.3336

.2981

.2643

.2327

.2033

.1762

.1515

.1292

.1093

.0918

.0764

.0630

.0516

.0418

.0336

.0268

.0212

.0116

.0129

.0099

.0075

.0057

.0043

.0032

.0023

.0017

.0012

.4840

.4443

.4052

.3669

.3300

.2946

.2611

.2296

.2005

.1736

.1492

.1271

.1075

.0901

.0749

.0618

.0505

.0409

.0329

.0262

.0207

.0162

.0125

.0096

.0073

.0055

.0041

.0031

.0023

.0016

.0012

.4801

.4404

.4013

.3632

.3264

.2912

.2578

.2266

.1977

.1711

.1469

.1251

.1056

.0885

.0735

.0606

.0495

.0401

.0322

.0256

.0202

.0158

.0122

.0094

.0071

.0054

.0040

.0030

.0022

.0016

.0011

.4761

.4364

.3974

.3594

.3228

.2877

.2546

.2236

.1949

.1685

.1446

.1230

.1038

.0869

.0721

.0594

.0485

.0392

.0314

.0250

.0197

.0154

.0119

.0091

.0069

.0052

.0039

.0029

.0021

.0015

.0011

.4721

.4325

.3936

.3557

.3192

.2843

.2514

.2206

.1922

.1660

.1423

.1210

.1020

.0853

.0708

.0582

.0475

.0384

.0307

.0244

.0192

.0150

.0116

.0089

.0068

.0051

.0038

.0028

.0021

.0015

.0011

.4681

.4286

.3897

.3520

.3156

.2810

.2483

.2177

.1894

.1635

.1401

.1190

.1003

.0838

.0694

.0571

.0465

.0375

.0301

.0239

.0188

.0146

.0113

.0087

.0066

.0049

.0037

.0027

.0020

.0014

.0010

.4641

.4247

.3859

.3483

.3121

.2776

.2461

.2148

.1867

.1611

.1379

.1170

.0985

.0823

.0681

.0559

.0455

.0367

.0294

.0233

.0183

.0143

.0110

.0084

.0064

.0048

.0036

.0026

.0019

.0014

.0010

【주】 u =1.96에 대한 α 는 좌측의 수 1.9에서 우측으로 가서 위의 숫자 6에서 밑으로

내려온 곳에 있는 수를 읽어 α =0.0250을 얻을 수 있다.

A-02 / 부록-부표

0

f u( )

u1−α

α1−α

U

Page 3

<부표 2> 정규분포표 (2)

표준화 정규분포표의 확률변수 U 가 uα값

이하가 될 확률 α 를 구하는 표

u *=0 *=1 *=2 *=3 *=4 *=5 *=6 *=7 *=8 *=9

0.0*

0.1*

0.2*

0.3*

0.4*

0.5*

0.6*

0.7*

0.8*

0.9*

1.0*

1.1*

1.2*

1.3*

1.4*

1.5*

1.6*

1.7*

1.8*

1.9*

2.0*

2.1*

2.2*

2.3*

2.4*

2.5*

2.6*

2.7*

2.8*

2.9*

3.0*

3.1*

3.2*

3.3*

3.4*

.5000

.5398

.5793

.6179

.6554

.6915

.7257

.7580

.7881

.8159

.8413

.8643

.8849

.9032

.9192

.9332

.9452

.9554

.9641

.9713

.9772

.9821

.9861

.9893

.9918

.9938

.9953

.9965

.9974

.9981

.9987

.9990

.9993

.9995

.9997

.5040

.5438

.5832

.6217

.6591

.6950

.7291

.7611

.7910

.8186

.8438

.8665

.8869

.9049

.9207

.9345

.9463

.9564

.9649

.9719

.9778

.9826

.9864

.9896

.9920

.9940

.9955

.9966

.9975

.9982

.9987

.9991

.9993

.9995

.9997

.5080

.5478

.5871

.6255

.6628

.6985

.7324

.7642

.7939

.8212

.8461

.8686

.8888

.9066

.9222

.9357

.9474

.9573

.9636

.9726

.9783

.9830

.9868

.9898

.9922

.9941

.9956

.9967

.9976

.9982

.9987

.9991

.9994

.9995

.9997

.5120

.5517

.5910

.6293

.6664

.7019

.7357

.7673

.7967

.8238

.8485

.8708

.8907

.9082

.9236

.9370

.9484

.9582

.9664

.9732

.9788

.9834

.9871

.9901

.9925

.9943

.9957

.9968

.9977

.9983

.9988

.9991

.9994

.9996

.9997

.5160

.5557

.5948

.6331

.6700

.7054

.7389

.7704

.7995

.8264

.8508

.8729

.8925

.9099

.9251

.9382

.9495

.9591

.9671

.9738

.9793

.9838

.9875

.9904

.9927

.9945

.9959

.9969

.9977

.9984

.9988

.9992

.9994

.9996

.9997

.5199

.5596

.5987

.6368

.6736

.7088

.7422

.7734

.8023

.8289

.8531

.8749

.8944

.9115

.9265

.9394

.9505

.9599

.9678

.9744

.9798

.9842

.9878

.9906

.9929

.9946

.9960

.9970

.9978

.9984

.9989

.9992

.9994

.9996

.9997

.5239

.5636

.6026

.6406

.6772

.7123

.7454

.7764

.8051

.8315

.8554

.8770

.8962

.9131

.9279

.9406

.9515

.9608

.9686

.9750

.9803

.9846

.9881

.9909

.9931

.9948

.9961

.9971

.9979

.9985

.9989

.9992

.9994

.9996

.9997

.5279

.5675

.6044

.6443

.6808

.7157

.7486

.7794

.8078

.8340

.8577

.8790

.8980

.9147

.9292

.9418

.9525

.9616

.9693

.9756

.9808

.9850

.9884

.9911

.9932

.9949

.9962

.9972

.9979

.9985

.9989

.9992

.9995

.9996

.9997

.5319

.5714

.6103

.6480

.6844

.7190

.7517

.7823

.8106

.8365

.8599

.8810

.8997

.9162

.9306

.9429

.9535

.9625

.9699

.9761

.9812

.9854

.9887

.9913

.9934

.9951

.9963

.9973

.9980

.9986

.9990

.9993

.9995

.9996

.9997

.5359

.5753

.6141

.6517

.6879

.7224

.7549

.7852

.8133

.8389

.8621

.8830

.9015

.9177

.9319

.9441

.9545

.9633

.9706

.9767

.9817

.9857

.9890

.9916

.9936

.9952

.9964

.9974

.9981

.9986

.9990

.9993

.9995

.9997

.9998

【주】 u =1.96에 대한 α 는 좌측의 수 1.9에서 우측으로 가서 위의 숫자 6에서 밑으로 내려

온 곳에 있는 수를 읽어 빗금면적의 확률 α =0.9750을 얻을 수 있다.

SQC 통계분포표 / A-03

0

f u( )

uα

α

U

Page 4

<부표 3> 정규분포표 (3)

α 에서 상측 분위점 u1−α 를

구하는 표

α *=0 *=1 *=2 *=3 *=4 *=5 *=6 *=7 *=8 *=9

0.000*

0.0*

0.1*

0.2*

0.3*

0.4*

∞

∞

1.282

0.842

0.524

0.253

3.090

2.326

1.227

0.806

0.496

0.228

2.878

2.054

1.175

0.772

0.468

0.202

2.748

1.881

1.126

0.739

0.440

0.176

2.652

1.751

1.080

0.706

0.412

0.151

2.576

1.645

1.036

0.674

0.385

0.126

2.512

1.555

0.994

0.643

0.358

0.100

2.457

1.476

0.954

0.613

0.332

0.075

2.409

1.405

0.915

0.583

0.305

0.050

2.366

1.341

0.878

0.553

0.279

0.025

비고 : z를 Kε으로, P Z z( )≥ 를 ε 으로 나타내기도 함.

<부표 4> 정규분포표 (4)

u α α 2 u α α 2

1

2

3

0.6745

1.2816

0.3173

0.0455

0.0027

0.50

0.20

0.15866

0.02275

0.00135

0.25

0.10

1.6449

1.9600

2.3263

2.5758

3.0902

0.10

0.05

0.02

0.01

0.002

0.05

0.025

0.010

0.005

0.001

A-04 / 부록-부표

f u( )

u1−α0

α

한쪽·양쪽 확률 겸용표

U

U

f u( )

0

1− α

u− u

α 2α 2

Page 5

<부표 5> t 분포표 (1)

자유도 ν와 양쪽확률 α 에서tα ν/ ( )2 와 t1 2−α ν/ ( )를 구하는 표

αν 0.50 0.40 0.30 0.20 0.10 0.05 0.02 0.01 0.001

αν

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

40

60

120

∞

1.000

0.816

0.765

0.741

0.727

0.718

0.711

0.706

0.703

0.700

0.697

0.695

0.694

0.692

0.691

0.690

0.689

0.688

0.688

0.687

0.686

0.686

0.685

0.685

0.684

0.684

0.684

0.683

0.683

0.683

0.681

0.679

0.677

0.674

1.376

1.061

0.978

0.941

0.920

0.906

0.896

0.889

0.883

0.879

0.876

0.873

0.870

0.868

0.866

0.865

0.863

0.862

0.861

0.860

0.859

0.858

0.858

0.857

0.856

0.856

0.855

0.855

0.854

0.854

0.851

0.848

0.845

0.842

1.963

1.386

1.250

1.190

1.156

1.134

1.119

1.108

1.100

1.093

1.088

1.083

1.079

1.076

1.074

1.071

1.069

1.067

1.066

1.064

1.063

1.061

1.060

1.059

1.058

1.058

1.057

1.056

1.055

1.055

1.050

1.046

1.041

1.036

3.078

1.886

1.638

1.533

1.476

1.440

1.415

1.397

1.383

1.372

1.363

1.356

1.350

1.345

1.341

1.337

1.333

1.330

1.328

1.325

1.323

1.321

1.319

1.318

1.316

1.315

1.314

1.313

1.311

1.310

1.303

1.296

1.289

1.282

6.314

2.920

2.353

2.132

2.015

1.943

1.895

1.860

1.833

1.812

1.796

1.782

1.771

1.761

1.753

1.746

1.740

1.734

1.729

1.725

1.721

1.717

1.714

1.711

1.708

1.706

1.703

1.701

1.699

1.697

1.684

1.671

1.658

1.645

12.706

4.303

3.182

2.776

2.571

2.447

2.365

2.306

2.262

2.228

2.201

2.179

2.160

2.145

2.131

2.120

2.110

2.101

2.093

2.086

2.080

2.074

2.069

2.064

2.060

2.056

2.052

2.048

2.045

2.042

2.021

2.000

1.980

1.960

31.281

6.965

4.541

3.747

3.365

3.143

2.998

2.896

2.821

2.764

2.718

2.681

2.650

2.624

2.602

2.583

2.567

2.552

2.539

2.528

2.518

2.508

2.500

2.492

2.485

2.479

2.473

2.467

2.462

2.457

2.423

2.390

2.358

2.326

63.657

9.925

5.841

4.604

4.032

3.707

3.499

3.355

3.250

3.169

3.106

3.055

3.012

2.977

2.947

2.921

2.898

2.878

2.861

2.845

2.831

2.819

2.807

2.797

2.787

2.779

2.771

2.763

2.756

2.750

2.704

2.660

2.617

2.576

636.619

31.598

12.941

8.610

6.859

5.959

5.405

5.041

4.781

4.587

4.437

4.318

4.221

4.140

4.073

4.015

3.965

3.922

3.883

3.850

3.819

3.792

3.767

3.745

3.725

3.707

3.690

3.674

3.659

3.646

3.551

3.460

3.373

3.291

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

40

60

120

∞

【주】ν = 10 , 양쪽확률 α =0.05에 대한 t 의 값은 + = +t0 025 10 2 228. ( ) . , − = −t0 025 10 2 228. ( ) . 이다.

이는 자유도 10의 t 분포에 따르는 확률변수가 2.228이상의 절대치를 가지고 출현하는 확률이

5%라는 것을 가리킨다.

SQC 통계분포표 / A-05

0

α 21 − α

α 2

f t( )

t( )νtα ν/ ( )2

= − −t1 2α ν/ ( )t1 2−α ν/ ( )

Page 6

<부표 6> t 분포표 (2)

자유도 ν와 상측 한쪽확률 α에서t1−α ν( )를 구하는 표

ν0.75 0.80 0.85 0.90 0.95 0.975 0.99 0.995 0.9995

ν

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

40

60

120

∞

1.000

0.816

0.765

0.741

0.727

0.718

0.711

0.706

0.703

0.700

0.697

0.695

0.694

0.692

0.691

0.690

0.689

0.688

0.688

0.687

0.686

0.686

0.685

0.685

0.684

0.684

0.684

0.683

0.683

0.683

0.681

0.679

0.677

0.674

1.376

1.061

0.978

0.941

0.920

0.906

0.896

0.889

0.883

0.879

0.876

0.873

0.870

0.868

0.866

0.865

0.863

0.862

0.861

0.860

0.859

0.858

0.858

0.857

0.856

0.856

0.855

0.855

0.854

0.854

0.851

0.848

0.845

0.842

1.963

1.386

1.250

1.190

1.156

1.134

1.119

1.108

1.100

1.093

1.088

1.083

1.079

1.076

1.074

1.071

1.069

1.067

1.066

1.064

1.063

1.061

1.060

1.059

1.058

1.058

1.057

1.056

1.055

1.055

1.050

1.046

1.041

1.036

3.078

1.886

1.638

1.533

1.476

1.440

1.415

1.397

1.383

1.372

1.363

1.356

1.350

1.345

1.341

1.337

1.333

1.330

1.328

1.325

1.323

1.321

1.319

1.318

1.316

1.315

1.314

1.313

1.311

1.310

1.303

1.296

1.289

1.282

6.314

2.920

2.353

2.132

2.015

1.943

1.895

1.860

1.833

1.812

1.796

1.782

1.771

1.761

1.753

1.746

1.740

1.734

1.729

1.725

1.721

1.717

1.714

1.711

1.708

1.706

1.703

1.701

1.699

1.697

1.684

1.671

1.658

1.645

12.706

4.303

3.182

2.776

2.571

2.447

2.365

2.306

2.262

2.228

2.201

2.179

2.160

2.145

2.131

2.120

2.110

2.101

2.093

2.086

2.080

2.074

2.069

2.064

2.060

2.056

2.052

2.048

2.045

2.042

2.021

2.000

1.980

1.960

31.281

6.965

4.541

3.747

3.365

3.143

2.998

2.896

2.821

2.764

2.718

2.681

2.650

2.624

2.602

2.583

2.567

2.552

2.539

2.528

2.518

2.508

2.500

2.492

2.485

2.479

2.473

2.467

2.462

2.457

2.423

2.390

2.358

2.326

63.657

9.925

5.841

4.604

4.032

3.707

3.499

3.355

3.250

3.169

3.106

3.055

3.012

2.977

2.947

2.921

2.898

2.878

2.861

2.845

2.831

2.819

2.807

2.797

2.787

2.779

2.771

2.763

2.756

2.750

2.704

2.660

2.617

2.576

636.619

31.598

12.941

8.610

6.859

5.959

5.405

5.041

4.781

4.587

4.437

4.318

4.221

4.140

4.073

4.015

3.965

3.922

3.883

3.850

3.819

3.792

3.767

3.745

3.725

3.707

3.690

3.674

3.659

3.646

3.551

3.460

3.373

3.291

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

40

60

120

∞

【주】ν = 10 , 상측 한쪽확률 α =0.05에 대한 t 의 값은 t t t1 1 0 05 0 9510 10 2 228− −= = =α ν( ) ( ) ( ) .. . 이다.

이는 자유도 10의 t 분포에 따르는 확률변수가 2.228이하의 절대치를 가지고 출현하는 확률이

97.5%라는 것을 가리킨다..

A-06 / 부록-부표

1−α

f t( )

t( )νt1−α ν( )

0

α

1−α

1 − α

Page 7

<부표 7> χ2분포표

자유도 ν와 하측확률 α에서

χ να2 ( )를 구하는 표

α0.005 0.010 0.025 0.050 0.100 0.250 0.500 0.750 0.900 0.950 0.975 0.990 0.995

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

40

50

60

70

80

90

100

0.044

0.01

0.07

0.21

0.41

0.68

0.99

1.34

1.74

2.16

2.60

3.07

3.57

4.07

4.60

5.14

5.70

6.26

6.84

7.43

8.03

8.64

9.26

9.89

10.52

11.46

11.81

12.46

13.12

13.79

20.7

28.0

35.5

43.3

51.2

59.2

67.3

0.032

0.02

0.12

0.30

0.55

0.87

1.24

1.65

2.09

2.56

3.05

3.57

4.11

4.66

5.23

5.81

6.41

7.01

7.63

8.26

8.90

9.54

10.20

10.86

11.52

12.20

12.88

13.56

14.26

14.95

22.2

29.7

37.5

45.4

53.5

61.8

70.1

0.021

0.05

0.22

0.48

0.83

1.24

1.69

2.18

2.70

3.25

3.82

4.40

5.01

5.63

6.26

6.91

7.56

8.23

8.91

9.59

10.28

10.98

11.69

12.40

13.12

13.84

14.57

15.31

16.05

16.79

24.4

32.4

40.5

48.8

57.2

65.6

74.2

0.023

0.10

0.35

0.71

1.15

1.64

2.17

2.73

3.33

3.94

4.57

5.23

5.89

6.57

7.26

7.96

8.67

9.39

10.12

10.85

11.59

12.34

13.09

13.85

14.61

15.38

16.15

16.93

17.71

18.49

26.5

34.8

43.2

51.7

60.4

69.1

77.9

0.02

0.21

0.58

1.06

1.61

2.20

2.83

3.49

4.17

4.87

5.58

6.30

7.04

7.79

8.55

9.31

10.09

10.86

11.65

12.44

13.24

14.04

14.85

15.66

14.67

17.29

18.11

18.94

19.77

20.6

29.1

37.7

46.5

55.3

64.3

73.3

82.4

0.10

0.58

1.21

1.92

2.67

3.45

4.25

5.07

5.90

6.74

7.58

8.44

9.30

10.17

11.04

11.91

12.79

13.68

14.56

15.45

16.34

17.24

18.14

19.04

19.94

20.8

21.7

22.7

23.6

24.5

33.7

42.9

52.3

61.7

71.1

80.6

90.1

0.46

1.39

2.37

3.36

4.35

5.35

6.35

7.34

8.34

9.34

10.34

11.34

12.34

13.34

14.34

15.34

16.34

17.34

18.34

19.34

20.3

21.3

22.3

23.3

24.3

25.3

26.3

27.3

28.3

29.3

39.3

49.3

59.3

69.3

79.3

89.3

99.3

1.32

2.77

4.11

5.39

6.63

7.84

9.04

10.22

11.39

12.55

13.70

14.85

15.98

17.12

18.25

19.37

20.5

21.6

22.7

23.8

24.9

26.0

27.1

28.2

29.3

30.4

31.5

32.6

33.7

34.8

45.6

56.3

67.0

77.6

88.1

98.6

109.1

2.71

4.61

6.25

7.78

9.24

10.64

12.02

13.36

14.68

15.99

17.28

18.55

19.81

21.1

22.3

23.5

24.8

26.0

27.2

28.4

29.6

30.8

32.0

33.2

34.4

35.6

36.7

37.9

39.1

40.3

51.8

63.2

74.4

85.5

96.6

107.6

118.5

3.84

5.99

7.81

9.49

11.07

12.59

14.07

15.51

16.92

18.31

19.68

21.0

22.4

23.7

25.0

26.3

27.6

28.9

30.1

31.4

32.7

33.9

35.2

36.4

37.7

38.9

40.1

41.3

42.6

43.8

55.8

67.5

79.1

90.5

101.9

113.1

124.3

5.02

7.38

9.35

11.14

12.83

14.45

16.01

17.54

19.02

20.5

21.9

23.3

24.7

26.1

27.5

28.8

30.2

31.5

32.9

34.2

35.5

36.8

38.1

39.4

40.6

41.9

43.2

44.5

45.7

47.0

59.3

71.4

83.3

95.0

106.6

118.1

129.6

6.63

9.21

11.34

13.28

15.09

16.81

18.48

20.1

21.7

23.2

24.7

26.2

27.7

29.1

30.6

32.0

33.4

34.8

36.2

37.6

38.9

40.3

41.6

43.0

44.3

45.6

47.0

48.3

49.6

50.9

63.7

76.2

88.4

100.4

112.3

124.1

135.8

7.88

10.60

12.84

14.86

16.75

18.55

20.3

22.0

23.6

25.2

26.8

28.3

29.8

31.3

32.8

34.3

35.7

37.2

38.6

40.0

41.4

42.8

44.2

45.6

46.9

48.3

49.6

51.0

52.3

53.7

66.8

79.5

92.0

104.2

116.3

128.3

140.2

SQC 통계분포표 / A-07

자유도

f ( )χ 2

α

0χ να

2 ( )

ν

χ ν2( )

ν

Page 8

<부표 8> F 분포표 (상측확률 10%)

자유도 ν ν1 2, 에서 상측확률 α =0.10(10%)에 대한F0 90 1 2. ( , )ν ν 값을 구하는 표

1 2 3 4 5 6 7 8 9 10 12 15 20 30 40 60 120 ∞

12345

39.98.535.544.544.06

49.59.005.464.323.78

53.69.165.394.193.62

55.89.245.344.113.52

57.29.295.314.053.45

58.29.335.284.013.40

58.99.355.273.983.37

59.49.375.253.953.34

59.99.385.243.943.32

60.29.395.233.923.30

60.79.415.223.903.27

61.29.425.203.873.24

61.79.445.183.843.21

62.39.465.173.823.17

62.59.475.163.803.16

62.89.475.153.793.14

63.19.485.143.783.12

63.39.495.133.763.10

678910

3.783.593.463.363.28

3.463.263.113.012.92

3.293.072.922.812.73

3.182.962.812.692.61

3.112.882.732.612.52

3.052.832.662.552.46

3.012.782.622.512.41

2.982.752.592.472.38

2.962.722.562.442.35

2.942.702.542.422.32

2.902.672.502.382.28

2.872.632.462.342.24

2.842.592.422.302.20

2.802.562.382.252.16

2.782.542.362.232.13

2.762.512.342.212.11

2.742.492.322.182.08

2.722.472.292.162.06

1112131415

3.233.133.143.103.07

2.862.812.762.732.70

2.662.612.562.522.49

2.542.482.432.392.36

2.452.392.352.312.27

2.392.332.282.242.21

2.342.282.232.192.16

2.302.242.202.152.12

2.272.212.162.122.09

2.252.192.142.102.06

2.212.152.102.052.02

2.172.102.052.011.97

2.122.062.011.961.92

2.082.011.961.911.87

2.051.991.931.891.85

2.031.961.901.861.82

2.001.931.881.831.79

1.971.901.851.801.76

1617181920

3.053.033.012.992.97

2.672.642.622.612.59

2.462.442.422.402.38

2.332.312.292.272.25

2.242.222.202.182.16

2.182.152.132.112.09

2.132.102.082.062.04

2.092.062.042.022.00

2.062.032.001.981.96

2.032.001.981.961.94

1.991.961.931.911.89

1.941.911.891.861.84

1.891.861.841.811.79

1.841.811.781.761.74

1.811.781.751.731.71

1.781.751.721.701.68

1.751.721.691.671.64

1.721.671.661.631.61

2122232425

2.962.952.942.932.92

2.572.562.552.542.53

2.362.352.342.332.32

2.232.222.212.19.18

2.142.132.112.102.09

2.082.062.052.042.02

2.022.011.991.981.97

1.981.971.951.941.93

1.951.931.921.911.89

1.921.901.891.881.87

1.881.861.841.831.82

1.831.811.801.781.77

1.781.761.741.731.72

1.721.701.691.671.66

1.691.671.661.641.63

1.661.641.621.611.59

1.621.601.591.571.56

1.591.571.551.531.52

2627282930

2.912.902.892.892.88

2.522.512.502.502.49

2.312.302.292.282.28

2.172.172.162.152.14

2.082.072.062.062.05

2.012.002.001.991.98

1.961.951.941.931.93

1.921.911.901.891.88

1.881.871.871.861.85

1.861.851.841.831.82

1.811.801.791.781.77

1.761.751.741.731.72

1.711.701.691.681.67

1.651.641.631.621.61

1.611.601.591.581.57

1.581.571.561.551.54

1.541.531.521.511.50

1.501.491.481.471.46

4060120∞

2.842.792.752.71

2.442.392.352.30

2.332.182.132.08

2.092.041.991.94

2.001.951.901.85

1.931.871.821.77

1.871.821.771.72

1.831.771.721.67

1.791.741.681.63

1.761.711.651.60

1.711.661.601.55

1.661.601.541.49

1.611.541.481.42

1.541.481.411.34

1.511.441.371.30

1.461.401.321.24

1.421.351.261.17

1.381.291.191.00

【주】자유도 ν ν1 25 10= =, 인 F분포의 상측확률 10%의 점은 F0 90 5 10 2 52. ( , ) .= , 하측확률 10%의 점은 F F0 10 0 905 10 1 10 5 1 330 0 30. .( , ) / ( , ) / . .= = =

0

f F( )

F( , )ν ν1 2F1 1 2−α ν ν( , )

α

ν1ν2

A－08/부록-부표

Page 9

<부표 9> F 분포표 (상측확률 5%)

자유도 ν ν1 2, 에서 상측확률 α =0.05(5%)에 대한

F0 95 1 2. ( , )ν ν 값을 구하는 표

1 2 3 4 5 6 7 8 9 10 12 15 20 30 40 60 120 ∞

12345

16118.510.17.716.61

20019.09.556.945.79

21619.29.286.595.41

22519.29.126.395.19

23019.39.016.265.05

23419.38.946.164.95

23719.48.896.094.88

23919.48.856.044.82

24119.48.816.004.77

24219.48.795.964.74

24419.48.745.914.68

24619.48.705.864.62

24819.48.665.804.56

25019.58.625.754.50

25119.58.595.724.46

25219.58.575.694.43

25319.58.555.664.40

25419.58.535.634.36

678910

5.995.595.325.124.96

5.144.744.464.264.10

4.764.354.073.863.71

4.534.123.843.633.48

4.393.973.693.483.33

4.283.873.583.373.22

4.213.793.503.293.14

4.153.733.443.233.07

4.103.683.393.183.02

4.063.643.353.142.98

4.003.573.283.072.91

3.943.513.223.012.84

3.873.443.152.942.77

3.813.383.082.862.70

3.773.343.042.832.66

3.743.303.012.792.62

3.703.272.972.752.58

3.673.232.932.712.54

1112131415

4.844.754.674.604.54

3.983.893.813.743.68

3.593.493.413.343.29

3.363.263.183.113.06

3.203.113.032.962.90

3.093.002.922.852.79

3.012.912.832.762.71

2.952.852.772.702.64

2.902.802.712.652.59

2.852.752.672.602.54

2.792.692.602.532.48

2.722.622.532.462.40

2.652.542.462.392.33

2.572.472.382.312.25

2.532.432.342.272.20

2.492.382.302.222.16

2.452.342.252.182.11

2.402.302.212.132.07

1617181920

4.494.454.414.384.35

3.633.593.553.523.49

3.243.203.163.133.10

3.012.962.932.902.87

2.852.812.772.742.71

2.742.702.662.632.60

2.662.612.582.542.51

2.592.552.512.482.45

2.542.492.462.422.39

2.492.452.412.382.35

2.422.382.342.312.28

2.352.312.272.232.20

2.282.232.192.162.12

2.192.152.112.072.04

2.152.102.062.031.99

2.112.062.021.981.95

2.062.011.971.931.90

2.011.961.921.881.84

2122232425

4.324.304.284.264.24

3.473.443.423.403.39

3.073.053.033.012.99

2.842.822.802.792.76

2.682.662.642.622.60

2.572.552.532.512.49

2.492.462.442.422.40

2.422.402.372.362.34

2.372.342.322.302.28

2.322.302.272.252.24

2.252.232.202.182.16

2.182.152.132.112.09

2.102.072.052.032.01

2.011.981.961.941.92

1.961.941.911.891.87

1.921.891.861.841.82

1.871.841.811.791.77

1.811.781.761.731.71

2627282930

4.234.214.204.184.17

3.373.353.343.333.32

2.982.962.952.932.92

2.742.732.712.702.69

2.592.572.562.552.53

2.472.462.452.432.42

2.392.372.362.352.33

2.322.312.292.282.27

2.272.252.242.222.21

2.222.202.192.182.16

2.152.132.122.102.09

2.072.062.042.032.01

1.991.971.961.941.93

1.901.881.871.851.84

1.851.841.821.811.79

1.801.791.771.751.74

1.751.731.711.701.68

1.691.671.651.641.62

4060120∞

4.084.003.923.84

3.233.153.073.00

2.842.762.682.60

2.612.532.452.37

2.452.372.292.21

2.342.252.182.10

2.252.172.092.01

2.182.102.021.94

2.122.041.961.88

2.081.991.911.83

2.001.921.831.75

1.921.841.751.67

1.841.751.661.57

1.741.651.551.46

1.691.591.501.39

1.641.531.431.32

1.581.471.351.22

1.511.391.251.00

【주】자유도 ν ν1 25 10= =, 인 F분포의 상측확률 5%의 점은 F0 95 5 10 3 33. ( , ) .= , 하측확률 5%의 점은 F F0 95 0 955 10 1 10 5 1 4 74 0 21. .( , ) / ( , ) / . .= = =

SQC통계분포표/A－09

0

f F( )

F( , )ν ν1 2F1 1 2−α ν ν( , )

α

ν1ν2

Page 10

<부표 10> F 분포표 (상측확률 2.5%)

자유도 ν ν1 2, 에서 상측확률 α =0.025(2.5%)에 대한

F0 95 1 2. ( , )ν ν 값을 구하는 표

1 2 3 4 5 6 7 8 9 10 12 15 20 30 40 60 120 ∞

12345

64838.517.412.210.0

80039.016.010.68.43

86439.215.49.987.76

90039.215.19.607.39

92239.314.99.367.15

93739.414.69.076.85

94839.414.69.076.85

95739.414.58.986.76

96339.414.58.906.68

96939.414.48.846.62

97739.414.38.756.52

98539.414.38.666.43

99339.414.28.566.33

100139.514.18.466.23

100639.514.08.416.18

101039.514.08.366.12

101439.513.98.316.07

101839.513.98.266.02

678910

8.818.077.577.216.94

7.266.546.065.715.46

6.605.895.425.084.83

6.235.625.054.724.47

5.995.294.824.484.24

5.704.994.534.203.95

5.704.994.534.203.95

5.604.904.434.103.85

5.524.824.364.033.78

5.464.764.303.963.72

5.374.674.203.873.62

5.274.574.103.773.52

5.174.474.003.673.42

5.074.363.893.563.31

5.014.313.843.513.26

4.964.253.783.453.20

4.904.203.733.393.14

4.854.143.673.333.08

1112131415

6.726.556.416.306.20

5.265.104.974.864.76

4.634.474.354.244.15

4.284.124.003.893.80

4.043.893.773.663.58

3.763.613.483.383.29

3.763.613.483.383.29

3.663.513.393.293.20

3.593.443.313.213.12

3.533.373.253.153.06

3.433.283.153.052.96

3.333.183.052.952.86

3.233.072.952.842.76

3.122.962.842.732.64

3.062.912.782.672.58

3.002.852.722.612.52

2.942.792.662.552.46

2.882.722.602.492.40

1617181920

6.126.045.985.925.87

4.694.624.564.514.46

4.084.013.953.903.86

3.733.663.613.563.51

3.503.443.383.333.29

3.223.163.103.053.01

3.223.163.103.053.01

3.123.063.012.962.91

3.052.982.932.882.84

2.992.922.872.822.77

2.892.822.772.722.68

2.792.722.672.622.57

2.682.622.562.512.46

2.572.502.442.392.35

2.512.442.382.332.29

2.452.382.322.272.22

2.382.322.262.202.16

2.322.252.192.132.09

2122232425

5.835.795.755.725.69

4.424.384.354.324.29

3.823.783.753.723.69

3.483.443.413.383.35

3.253.223.183.153.13

2.972.932.902.872.85

2.972.932.902.872.85

2.872.842.812.782.75

2.802.762.732.702.68

2.732.702.672.642.61

2.642.602.572.542.51

2.532.502.472.442.41

2.422.392.362.332.30

2.312.272.242.212.18

2.252.212.182.152.12

2.182.142.112.082.05

2.112.082.042.011.98

2.042.001.971.941.91

2627282930

5.665.635.615.595.57

4.274.244.224.204.18

3.673.653.633.613.59

3.333.313.293.273.25

3.103.083.063.043.03

2.822.802.782.762.75

2.822.802.782.762.75

2.732.712.692.672.65

2.652.632.612.592.57

2.592.572.552.532.51

2.492.472.452.432.41

2.392.362.342.322.31

2.282.252.232.212.20

2.162.132.112.092.07

2.092.072.052.032.01

2.032.001.981.961.94

1.951.931.911.891.87

1.881.851.831.811.79

4060120∞

5.425.295.155.02

4.053.933.803.69

3.463.343.233.12

3.133.012.892.79

2.902.792.672.57

2.622.512.392.29

2.622.512.392.29

2.532.412.302.19

2.452.332.222.11

2.392.272.162.05

2.292.172.051.94

2.182.061.941.83

2.071.941.821.71

1.941.821.691.57

1.881.741.611.48

1.801.671.531.39

1.721.581.431.27

1.641.481.311.00

【주】자유도 ν ν1 25 10= =, 인 F분포의 상측확률 2.5%의 점은 F0 975 5 10 4 24. ( , ) .= , 하측확률 2.5%의 점은 F F0 025 0 9755 10 1 10 5 1 662 015. .( , ) / ( , ) / . .= = =

0

f F( )

F( , )ν ν1 2F1 1 2−α ν ν( , )

α

A－10/부록-부표

ν1ν2

Page 11

<부표 11> F 분포표 (상측확률 1%)

자유도 ν ν1 2, 에서 상측확률 α =0.01(1%)에 대한F0 99 1 2. ( , )ν ν 값을 구하는 표

1 2 3 4 5 6 7 8 9 10 12 15 20 30 40 60 120 ∞

12345

4,05298.534.121.216.3

5,00099.030.818.013.3

5,40399.229.516.712.1

5,62599.228.716.011.4

5,76499.328.215.511.0

5,85999.327.915.210.7

5,92899.427.715.010.5

5,98299.427.514.810.3

6,02299.427.314.710.2

6,05699.427.214.510.1

610699.427.114.49.89

615799.426.914.29.72

620999.426.714.09.55

626199.526.513.89.38

628799.526.413.79.29

631399.526.313.79.20

633999.526.213.69.11

636699.526.113.59.02

678910

13.712.211.310.610.0

10.99.558.658.027.56

9.788.457.596.996.55

9.157.857.016.425.99

8.757.466.636.065.64

8.477.196.375.805.39

8.266.996.185.615.20

8.106.846.035.475.06

7.986.725.915.354.94

7.876.625.815.264.85

7.726.475.675.114.71

7.566.315.524.964.56

7.406.165.364.814.41

7.235.995.204.654.25

7.145.915.124.574.17

7.065.825.034.484.08

6.975.744.954.404.00

6.885.654.864.313.91

1112131415

9.659.339.078.868.68

7.216.936.706.516.36

6.225.955.745.565.42

5.675.415.215.044.89

5.325.064.864.704.56

5.074.824.624.464.32

4.894.644.444.284.14

4.744.504.304.144.00

4.634.394.194.033.89

4.544.304.103.943.80

4.404.163.963.803.67

4.254.013.823.663.52

4.103.863.663.513.37

3.943.703.513.353.21

3.863.623.433.273.13

3.783.543.343.183.05

3.693.453.253.092.96

3.603.363.173.002.87

1617181920

8.538.408.298.188.10

6.236.116.015.935.85

5.295.185.095.014.94

4.774.674.584.504.43

4.444.344.254.174.10

4.204.104.013.943.87

4.033.933.843.773.70

3.893.793.713.633.56

3.783.683.603.523.46

3.693.593.513.433.37

3.553.463.373.303.23

3.413.313.233.153.09

3.263.163.083.002.94

3.103.002.922.842.78

3.022.922.842.762.69

2.932.832.752.672.61

2.842.752.662.582.52

2.752.652.572.492.42

2122232425

8.027.957.887.827.77

5.785.725.665.615.57

4.874.824.764.724.68

4.374.314.264.224.18

4.043.993.943.903.86

3.813.763.713.673.63

3.643.593.543.503.46

3.513.453.413.363.32

3.403.353.303.263.22

3.313.263.213.173.13

3.173.123.073.032.99

3.032.982.932.892.85

2.882.832.782.742.70

2.722.672.622.582.54

2.642.582.542.492.45

2.552.502.452.402.36

2.462.402.352.312.27

2.362.312.262.212.17

2627282930

7.727.687.647.607.56

5.535.495.455.425.39

4.644.604.574.544.51

4.144.114.074.044.02

3.823.783.753.733.70

3.593.563.533.503.47

3.423.393.363.333.30

3.233.263.233.203.17

3.183.153.123.093.07

3.093.063.033.002.98

2.962.932.902.872.84

2.822.782.752.732.70

2.662.632.602.572.55

2.502.472.442.412.39

2.422.382.352.332.30

2.332.292.262.232.21

2.232.202.172.142.11

2.132.102.062.032.01

4060120∞

7.317.086.856.63

5.184.984.794.61

4.314.133.953.79

3.833.653.483.32

3.513.343.173.02

3.293.122.962.80

3.122.952.792.64

2.992.822.662.51

2.892.722.562.41

2.802.632.472.32

2.662.502.342.18

2.522.352.192.04

2.372.202.031.88

2.202.031.861.70

2.111.941.761.59

2.021.841.661.47

1.921.731.531.32

1.801.601.381.00

【주】자유도 ν ν1 25 10= =, 인 F분포의 상측확률 1%의 점은 F0 99 5 10 5 64. ( , ) .= , 하측확률 1%의 점은 F F0 01 0 995 10 1 10 5 1 101 0 01. .( , ) / ( , ) / . .= = =

0

f F( )

F( , )ν ν1 2F1 1 2−α ν ν( , )

α

SQC통계분포표/A－11

ν1ν2

Page 12

<부표 12> r 분포표

αν 0.10 0.05 0.02 0.01

10

11

12

13

14

0.4793

0.4762

0.4575

0.4409

0.4259

0.5760

0.5529

0.5324

0.5139

0.4973

0.6581

0.6339

0.6120

0.5923

0.5742

0.7079

0.6835

0.6614

0.6411

0.6226

15

16

17

18

19

0.4124

0.4000

0.3887

0.3783

0.3687

0.4821

0.4683

0.4555

0.4438

0.4329

0.5577

0.5425

0.5285

0.5155

0.5034

0.6055

0.5897

0.5751

0.5614

0.5847

20

25

30

35

40

0.3598

0.3233

0.2960

0.2746

0.2573

0.4227

0.3089

0.3494

0.3246

0.3034

0.4921

0.4451

0.4093

0.3810

0.3578

0.5368

0.4869

0.4487

0.4182

0.3932

50

60

70

80

90

100

0.2306

0.2108

0.1.954

0.1829

0.1726

0.1638

0.2732

0.2500

0.2319

0.2172

0.2050

0.1946

0.3218

0.2948

0.2737

0.2565

0.2422

0.2301

0.3541

0.3248

0.3017

0.2830

0.2673

0.2540

근사식1 645

1.ν +

1 9601

.ν +

2 3262

.ν +

2 5763

.ν +

A-12 / 부록-부표

(자유도 ν에서 r 분포의양측확률 α 인 점의 값)

-1 +10− r r

α2

1− αα2

Page 13

<부표 13> 슈하트 관리도용 계수표 (1)

<부표 14> 슈하트 관리도용 계수표 (2)

SQC 통계분포표 / A-13

Page 14

<부표 15> 범위( R )을 사용하는 검정 보조표(보통체는 ν , 고딕체는 c를 나타낸다)

kn 1 2 3 4 5 10 15 20 25 30 k > 5

21.0

1.41

1.9

1.28

2.8

1.23

3.7

1.21

4.6

1.19

9.0

1.16

13.4

1.15

17.8

1.14

22.2

1.14

26.5

1.14

0 8 7 6 0 2 5. .k +

1.128 0.32 k+

32.0

1.91

3.8

1.81

5.7

1.77

7.5

1.75

9.3

1.74

18.4

1.72

27.5

1.71

36.6

1.70

45.6

1.70

54.7

1.70

1 185 0 25. .k +

1.693 0.23 k+

42.9

2.24

5.7

2.15

8.4

2.12

11.2

2.11

13.9

2.10

27.6

2.08

41.3

2.07

55.0

2.06

68.7

2.06

82.4

2.06

2 738 0 25. .k +

2.059 0.19 k+

53.8

2.48

7.5

2.40

11.1

2.38

14.7

2.37

18.4

2.36

36.5

2.34

54.6

2.33

72.7

2.83

90.8

2.33

108.9

2.33

3 623 0 25. .k +

2.326 0.16 k+

64.7

2.67

9.2

2.60

13.6

2.58

18.1

2.57

22.6

2.56

44.9

2.55

67.2

2.54

89.6

2.54

111.9

2.54

134.2

2.54

4 466 0 25. .k +

2.534 0.14 k+

75.5

2.83

10.8

2.77

16.0

2.75

21.3

2.74

26.6

2.73

52.9

2.72

79.3

2.71

105.6

2.71

131.9

2.71

158.3

2.71

5 267 0 25. .k +

2.704 0.13 k+

86.3

2.96

12.3

2.91

18.3

2.89

24.4

2.88

30.4

2.87

60.6

2.86

90.7

2.85

120.9

2.85

151.0

2.85

181.2

2.85

6 0 3 1 0 2 5. .k +

2.847 0.12 k+

97.0

3.08

13.8

3.02

20.5

3.01

27.3

3.00

34.0

2.99

67.8

2.98

101.6

2.98

135.3

2.98

169.2

2.97

203.0

2.97

6 7 5 9 0 2 5. .k +

2.970 0.11 k+

107.7

3.18

15.1

3.13

22.6

3.11

30.1

3.10

37.5

3.10

74.8

3.09

112.0

3.08

149.3

3.08

186.6

3.08

223.8

3.08

7 45 3 0 2 5. .k +

3.078 0.10 k+

A－14/부록-부표

Page 15

<부표 16> 누적이항분포표

시료수 cp

0.05 0.10 0.20 0.30 0.40 0.50 0.60 0.70 080 0.90 0.95

n =10

1

0.950

1.000

0.900

1.000

0.800

1.000

0.700

1.000

0.600

1.000

0.500

1.000

0.400

1.000

0.300

1.000

0.200

1.000

0.100

1.000

0.150

1.000

n = 20

1

2

0.902

0.997

1.000

0.810

0.990

1.000

0.640

0.960

1.000

0.490

0.910

1.000

0.360

0.840

1.000

0.250

0.750

1.000

0.160

0.640

1.000

0.090

0.510

1.000

0.040

0.360

1.000

0.010

0.190

1.000

0.002

0.097

1.000

n = 3

0

1

2

3

0.857

0.993

1.000

1.000

0.729

0.972

0.999

1.000

0.512

0.896

0.992

1.000

0.343

0.784

0.973

1.000

0.216

0.648

0.936

1.000

0.125

0.500

0.875

1.000

0.064

0.352

0.784

1.000

0.027

0.216

0.657

1.000

0.008

0.104

0.488

1.000

0.001

0.028

0.271

1.000

0.000

0.007

0.143

1.000

n = 4

0

1

2

3

4

0.815

0.986

1.000

1.000

1.000

0.656

0.948

0.996

1.000

1.000

0.410

0.810

0.973

0.998

1.000

0.240

0.652

0.916

0.992

1.000

0.130

0.475

0.821

0.974

1.000

0.063

0.313

0.688

0.938

1.000

0.026

0.179

0.525

0.870

1.000

0.008

0.084

0.348

0.760

1.000

0.002

0.027

0.181

0.590

1.000

0.000

0.004

0.052

0.344

1.000

0.000

0.000

0.014

0.185

1.000

n = 5

0

1

2

3

4

5

0.774

0.977

0.999

1.000

1.000

1.000

0.590

0.919

0.991

1.000

1.000

1.000

0.328

0.737

0.942

0.993

1.000

1.000

0.168

0.528

0.837

0.969

0.998

1.000

0.078

0.337

0.683

0.913

0.990

1.000

0.031

0.188

0.500

0.813

0.969

1.000

0.010

0.087

0.317

0.663

0.922

1.000

0.002

0.031

0.163

0.472

0.832

1.000

0.000

0.007

0.058

0.263

0.672

1.000

0.000

0.000

0.009

0.081

0.410

1.000

0.000

0.000

0.001

0.023

0.226

1.000

n = 6

0

1

2

3

4

5

6

0.735

0.967

0.998

1.000

1.000

1.000

1.000

0.531

0.886

0.984

0.999

1.000

1.000

1.000

0.262

0.655

0.901

0.983

0.998

1.000

1.000

0.118

0.420

0.744

0.930

0.989

0.999

1.000

0.047

0.233

0.544

0.821

0.959

0.996

1.000

0.016

0.109

0.344

0.656

0.891

0.984

1.000

0.004

0.041

0.179

0.456

0.767

0.953

1.000

0.001

0.011

0.070

0.256

0.580

0.882

1.000

0.000

0.000

0.017

0.099

0.345

0.738

1.000

0.000

0.000

0.001

0.016

0.114

0.469

1.000

0.000

0.000

0.000

0.002

0.033

0.265

1.000

n=7

0

1

2

3

4

5

5

7

0.698

0.956

0.996

1.000

1.000

1.000

1.000

1.000

0.478

0.850

0.974

0.997

1.000

1.000

1.000

1.000

0.210

0.577

0.852

0.967

0.995

1.000

1.000

1.000

0.082

0.329

0.647

0.874

0.971

0.996

1.000

1.000

0.028

0.159

0.420

0.710

0.904

0.981

0.998

1.000

0.008

0.063

0.227

0.500

0.773

0.938

0.992

1.000

0.002

0.019

0.096

0.290

0.580

0.841

0.972

1.000

0.000

0.004

0.029

0.126

0.353

0.671

0.918

1.000

0.000

0.000

0.005

0.033

0.148

0.423

0.790

1.000

0.000

0.000

0.000

0.003

0.026

0.150

0.522

1.000

0.000

0.000

0.000

0.000

0.004

0.044

0.302

1.000

SQC 통계분포표 / A-15

xn

P X c p p p xx n x

x

c

x

c

[ ] ( ) ( )≤ = − =−

==∑∑ 1

00

Page 16

<부표 16>의 계속

시료수 cp

0.05 0.10 0.20 0.30 0.40 0.50 0.60 0.70 080 0.90 0.95

n =8

0

1

2

3

4

5

6

7

8

0.663

0.943

0.994

1.000

1.000

1.000

1.000

1.000

1.000

0.430

0.813

0.962

0.995

0.995

0.995

1.000

1.000

1.000

0.168

0.503

9.797

0.944

0.990

0.999

1.000

1.000

1.000

0.058

0.255

0.552

0.806

0.942

0.989

0.999

1.000

1.000

0.017

0.103

0.315

0.594

0.826

0.950

0.991

0.999

1.000

0.004

0.035

0.145

0.363

0.637

0.855

0.965

0.996

1.000

0.001

0.009

0.050

0.174

0.406

0.685

0.894

0.983

1.000

0.000

0.001

0.001

0.058

0.194

0.448

0.745

0.942

1.000

0.000

0.000

0.001

0.010

0.056

0.203

0.497

0.832

1.000

0.000

0.000

0.000

0.000

0.005

0.038

0.187

0.570

1.000

0.000

0.000

0.000

0.000

0.000

0.000

0.000

0.337

1.000

n = 9

0

1

2

3

4

5

6

7

8

9

0.630

0.929

0.992

0.999

1.000

1.000

1.000

1.000

1.000

1.000

0.387

0.775

0.947

0.992

0.999

1.000

1.000

1.000

1.000

1.000

0.134

0.436

0.738

0.914

0.980

0.997

1.000

1.000

1.000

1.000

0.040

0.196

0.463

0.730

0.901

0.975

0.996

1.000

1.000

1.000

0.010

0.071

0.232

0.483

0.733

0.901

0.975

0.996

1.000

1.000

0.002

0.020

0.090

0.254

0.500

0.746

0.910

0.980

0.998

1.000

0.000

0.004

0.025

0.099

0.267

0.517

0.768

0.929

0.990

1.000

0.000

0.000

0.004

0.025

0.099

0.270

0.537

0.804

0.960

1.000

0.000

0.000

0.000

0.003

0.020

0.086

0.262

0.564

0.866

1.000

0.000

0.000

0.000

0.000

0.001

0.008

0.053

0.225

0.613

1.000

0.000

0.000

0.000

0.000

0.000

0.001

0.008

0.071

0.370

1.000

n =10

0

1

2

3

4

5

6

7

8

9

10

0.599

0.914

0.988

0.999

1.000

1.000

1.000

1.000

1.000

1.000

1.000

0.349

0.736

0.930

0.987

0.998

1.000

1.000

1.000

1.000

1.000

1.000

0.107

0.376

0.678

0.879

0.967

0.994

0.999

1.000

1.000

1.000

1.000

0.028

0.149

0.383

0.650

0.850

0.953

0.989

0.998

1.000

1.000

1.000

0.006

0.146

0.167

0.382

0.633

0.834

0.945

0.998

0.998

1.000

1.000

0.001

0.011

0.055

0.172

0.377

0.623

0.828

0.945

0.989

0.999

1.000

0.000

0.002

0.012

0.055

0.166

0.367

0.613

0.833

0.954

0.994

1.000

0.000

0.000

0.002

0.011

0.047

0.150

0.350

0.617

0.851

0.972

1.000

0.000

0.000

0.000

0.001

0.006

0.033

0.121

0.322

0.624

0.893

1.000

0.000

0.000

0.000

0.000

0.000

0.002

0.013

0.070

0.264

0.651

1.000

0.000

0.000

0.000

0.000

0.000

0.000

0.001

0.012

0.086

0.401

1.000

n = 11

0

1

2

3

4

5

6

7

8

9

10

11

0.569

0.898

0.985

0.998

1.000

1.000

1.000

1.000

1.000

1.000

1.000

1.000

0.314

0.697

0.910

0.981

0.997

1.000

1.000

1.000

1.000

1.000

1.000

1.000

0.086

0.322

0.617

0.839

0.950

0.988

0.998

1.000

1.000

1.000

1.000

1.000

0.020

0.113

0.313

0.570

0.790

0.922

0.978

0.996

0.999

1.000

1.000

1.000

0.004

0.030

0.119

0.290

0.533

0.753

0.901

0.971

0.994

0.999

1.000

1.000

0.000

0.006

0.033

0.113

0.274

0.500

0.726

0.887

0.967

0.994

1.000

1.000

0.000

0.001

0.006

0.029

0.099

0.247

0.467

0.704

0.881

0.970

0.996

1.000

0.000

0.000

0.001

0.004

0.022

0.078

0.210

0.430

0.687

0.887

0.980

1.000

0.000

0.000

0.000

0.000

0.002

0.012

0.050

0.161

0.383

0.678

0.914

1.000

0.000

0.000

0.000

0.000

0.000

0.000

0.003

0.019

0.090

0.303

0.686

1.000

0.000

0.000

0.000

0.000

0.000

0.000

0.000

0.002

0.015

0.102

0.431

1.000

A-16 / 부록-부표

Page 17

<부표 17> 누적포아송분포표

P X c e mx

m x

x

c[ ]

!≤ =

−

=∑

0

cm

0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00

0

1

2

3

4

5

6

7

0.905

0.995

1.000

1.000

1.000

1.000

1.000

1.000

0.819

0.982

0.999

1.000

1.000

1.000

1.000

1.000

0.741

0.963

0.996

1.000

1.000

1.000

1.000

1.000

0.670

0.938

0.992

0.999

1.000

1.000

1.000

1.000

0.607

0.910

0.986

0.998

1.000

1.000

1.000

1.000

0.549

0.878

0.977

0.997

1.000

1.000

1.000

1.000

0.497

0.844

0.966

0.994

0.999

1.000

1.000

1.000

0.449

0.809

0.953

0.991

0.999

1.000

1.000

1.000

0.407

0.772

0.937

0.987

0.998

1.000

1.000

1.000

0.368

0.736

0.920

0.981

0.996

0.999

1.000

1.000

cm

1.11 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00

0

1

2

3

4

5

6

7

8

9

0.333

0.699

0.900

0.974

0.995

0.999

1.000

1.000

1.000

1.000

0.301

0.663

0.879

0.966

0.992

0.998

1.000

1.000

1.000

1.000

0.273

0.627

0.857

0.957

0.989

0.998

1.000

1.000

1.000

1.000

0.247

0.592

0.833

0.946

0.986

0.997

0.999

1.000

1.000

1.000

0.223

0.558

0.809

0.934

0.981

0.996

0.999

1.000

1.000

1.000

0.202

0.525

0.783

0.921

0.976

0.994

0.999

1.000

1.000

1.000

0.183

0.493

0.757

0.907

0.970

0.992

0.998

1.000

1.000

1.000

0.165

0.463

0.731

0.891

0.964

0.990

0.997

0.999

1.000

1.000

0.150

0.434

0.704

0.875

0.956

0.987

0.997

0.999

1.000

1.000

0.135

0.406

0.677

0.857

0.947

0.983

0.995

0.999

1.000

1.000

cm

2.10 2.20 2.30 2.40 2.50 2.60 2.70 2.80 2.90 3.00

0

1

2

3

4

5

6

7

8

9

10

11

12

0.122

0.380

0.650

0.839

0.938

0.980

0.994

0.999

1.000

1.000

1.000

1.000

1.000

0.111

0.355

0.623

0.819

0.928

0.975

0.993

0.998

1.000

1.000

1.000

1.000

1.000

0.100

0.331

0.596

0.799

0.916

0.970

0.991

0.997

0.999

1.000

1.000

1.000

1.000

0.091

0.308

0.570

0.779

0.904

0.964

0.988

0.997

0.999

1.000

1.000

1.000

1.000

0.082

0.287

0.544

0.758

0.891

0.958

0.986

0.996

0.999

1.000

1.000

1.000

1.000

0.074

0.267

0.518

0.736

0.877

0.951

0.983

0.995

0.999

1.000

1.000

1.000

1.000

0.067

0.249

0.494

0.714

0.863

0.943

0.979

0.993

0.998

0.999

1.000

1.000

1.000

0.061

0.231

0.469

0.692

0.848

0.935

0.976

0.992

0.998

0.999

1.000

1.000

1.000

0.055

0.215

0.446

0.670

0.832

0.926

0.971

0.990

0.997

0.999

1.000

1.000

1.000

0.050

0.199

0.423

0.647

0.815

0.916

0.966

0.988

0.996

0.999

1.000

1.000

1.000

SQC 통계분포표 / A-17

Page 18

<부표 17>의 계속

cm

3.10 3.20 3.30 3.40 3.50 3.60 3.70 3.80 3.90 4.00

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

0.045

0.185

0.401

0.625

0.798

0.906

0.961

0.986

0.995

0.999

1.000

1.000

1.000

1.000

1.000

0.041

0.071

0.380

0.603

0.781

0.895

0.955

0.983

0.994

0.998

1.000

1.000

1.000

1.000

1.000

0.037

0.159

0.359

0.580

0.763

0.883

0.949

0.980

0.993

0.998

0.999

1.000

1.000

1.000

1.000

0.033

0.147

0.340

0.558

0.744

0.871

0.942

0.977

0.992

0.997

0.999

1.000

1.000

1.000

1.000

0.030

0.136

0.321

0.537

0.725

0.858

0.935

0.973

0.990

0.997

0.999

1.000

1.000

1.000

1.000

0.027

0.126

0.303

0.515

0.706

0.844

0.927

0.969

0.988

0.996

0.999

1.000

1.000

1.000

1.000

0.025

0.116

0.285

0.494

0.687

0.830

0.918

0.965

0.986

0.995

0.998

1.000

1.000

1.000

1.000

0.022

0.107

0.269

0.473

0.668

0.816

0.909

0.960

0.984

0.994

0.998

0.999

1.000

1.000

1.000

0.020

0.099

0.253

0.453

0.648

0.801

0.899

0.955

0.981

0.993

0.998

0.999

1.000

1.000

1.000

0.018

0.092

0.238

0.433

0.629

0.785

0.899

0.944

0.979

0.992

0.997

0.999

1.000

1.000

1.000

cm

4.50 5.00 5.50 6.00 6.50 7.00 7.50 8.00 8.50 9.00

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

0.011

0.061

0.174

0.342

0.532

0.703

0.831

0.913

0.960

0.983

0.993

0.998

0.999

1.000

1.000

1.000

1.000

1.000

1.000

1.000

1.000

1.000

1.000

0.007

0.040

0.125

0.265

0.440

0.616

0.762

0.867

0.932

0.968

0.986

0.995

0.998

0.999

1.000

1.000

1.000

1.000

1.000

1.000

1.000

1.000

1.000

0.004

0.027

0.088

0.202

0.358

0.529

0.686

0.809

0.894

0.946

0.975

0.989

0.996

0.998

0.999

1.000

1.000

1.000

1.000

1.000

1.000

1.000

1.000

0.002

0.017

0.062

0.151

0.285

0.446

0.606

0.744

0.847

0.916

0.957

0.980

0.991

0.996

0.999

0.999

1.000

1.000

1.000

1.000

1.000

1.000

1.000

0.002

0.011

0.043

0.112

0.224

0.369

0.527

0.673

0.792

0.877

0.933

0.966

0.984

0.993

0.997

0.999

1.000

1.000

1.000

1.000

1.000

1.000

1.000

0.001

0.007

0.030

0.082

0.173

0.301

0.450

0.599

0.729

0.830

0.901

0.947

0.973

0.987

0.994

0.998

0.999

1.000

1.000

1.000

1.000

1.000

1.000

0.001

0.005

0.020

0.059

0.132

0.241

0.378

0.525

0.662

0.776

0.862

0.921

0.957

0.978

0.990

0.995

0.998

0.999

1.000

1.000

1.000

1.000

1.000

0.000

0.003

0.014

0.042

0.100

0.191

0.313

0.453

0.593

0.717

0.816

0.888

0.936

0.966

0.983

0.992

0.996

0.998

0.999

1.000

1.000

1.000

1.000

0.000

0.002

0.009

0.030

0.074

0.150

0.256

0.386

0.523

0.653

0.763

0.849

0.909

0.949

0.973

0.986

0.993

0.997

0.999

0.999

1.000

1.000

1.000

0.000

0.001

0.006

0.021

0.055

0.116

0.207

0.324

0.456

0.857

0.706

0.803

0.876

0.926

0.959

0.978

0.989

0.995

0.998

0.999

1.000

1.000

1.000

A-18 / 부록-부표

Page 19

<부표 18> 이항계수표

rn

n rC nr n r

= =−

!!( )!

1 2 3 4 5 6 7 8 9 10

0

1

2

3

4

5

1

1

1

2

1

1

3

3

1

1

4

6

4

1

1

5

10

10

5

1

1

6

15

20

15

6

1

7

21

35

35

21

1

8

28

56

70

56

1

9

36

84

126

126

1

10

45

120

210

252

6

7

8

9

10

1 7

1

28

8

1

84

36

9

1

210

120

45

10

1

nr

11 12 13 14 15 16 17 18 19 20

0

1

2

3

4

5

6

7

8

9

10

1

11

55

165

330

462

462

330

165

55

11

1

12

66

220

495

792

924

792

495

220

66

1

13

78

286

715

1287

1716

1716

1287

715

286

1

14

91

364

1001

2002

3003

3432

3003

2002

1001

1

15

105

455

1365

3003

5005

6435

6435

5005

3003

1

16

120

560

1820

4368

8008

11440

12870

11440

8008

1

17

136

680

2380

6188

12376

19448

24310

24310

19448

1

18

153

816

3060

8568

18564

31824

43758

48620

43758

1

19

171

969

3876

11628

27132

50388

75582

92378

92378

1

20

190

1140

4845

15504

38760

77520

125970

167960

184756

11

12

13

14

15

16

17

18

19

20

1 12

1

78

13

1

364

91

14

1

1365

455

105

15

1

4368

1820

560

120

16

1

12376

6188

2380

680

136

17

1

31824

18564

8568

3060

816

153

18

1

75582

50388

27132

11628

3876

969

171

19

1

167960

125970

77520

38760

15504

4845

1140

190

20

1

SQC 통계분포표 / A-19

nr

Page 20

<부표 19> 정규확률분포표

z *=0 *=1 *=2 *=3 *=4 *=5 *=6 *=7 *=8 *=9

0.0*0.1*0.2*0.3*0.4*

.3989

.3970

.3910

.3914

.3683

.3989

.3965

.3902

.3802

.3668

.3989

.3961

.3894

.3970

.3653

.3988

.3956

.3885

.3778

.3637

.3986

.3951

.3876

.3765

.3605

.3984

.3945

.3867

.3752

.3605

.3982

.3939

.3857

.3739

.3589

.3980

.3932

.3847

.3725

.3572

.3977

.3925

.3836

.3712

.3555

.3973

.3918

.3825

.3697

.3538

0.5*0.6*0.7*0.8*0.9*

.3521

.3332

.3123

.2879

.2661

.3503

.3312

.3101

.2874

.2637

.3485

.3292

.3079

.2850

.2613

.3467

.3271

.3056

.2827

.2589

.3448

.3251

.3034

.2803

.2565

.3429

.3230

.3011

.2780

.2541

.3410

.3209

.2989

.2756

.2516

.3391

.3187

.2966

.2732

.2492

.3372

.3166

.2943

.2709

.2468

.3352

.3144

.2920

.2685

.2444

1.0*1.1*1.2*1.3*1.4*

.2420

.2179

.1942

.1714

.1497

.2396

.2155

.1919

.1691

.1476

.2371

.2131

.1895

.1669

.1456

.2347

.2107

.1872

.1647

.1435

.2323

.2083

.1849

.1626

.1415

.2299

.2059

.1826

.1604

.1394

.2275

.2036

.1804

.1582

.1374

.2251

.2012

.1781

.1561

.1354

.2227

.1989

.1753

.1539

.1334

.2203

.1965

.1736

.1518

.1315

1.5*1.6*1.7*1.8*1.9*

.1295

.1109.09405.07895.06562

.1276

.1092.09246.07754.06438

.1257

.1074.09089.07614.06316

.1238

.1057.08933.07477.06195

.1219

.1040.08780.07341.06077

.1200

.1023.08628.07206.05959

.1182

.1006.08478.07074.05844

.1163.09893.08329.06943.05730

.1146.09728.08183.06814.05618

.1127.09566.08038.06687.05508

2.0*2.1*2.2*2.3*2.4*

.05399

.04398

.03547

.02833

.02239

.05292

.04307

.03470

.02768

.02186

.05186

.04217

.03394

.02705

.02134

.05082

.04128

.03319

.02643

.02083

.04980

.04041

.03246

.02582

.02033

.04879

.03955

.03174

.02522

.01984

.04780

.03871

.03103

.02763

.01936

.04682

.03788

.03034

.02406

.01888

.04586

.03706

.02965

.02349

.01842

.04491

.03626

.02898

.02294

.01797

2.5*2.6*2.7*2.8*2.9*

.01753

.01358

.01042.027915.025953

.01709

.01323

.01014.027697.025782

.01667

.01289

.09871.027483.025616

.01625

.01256.029606.027274.025454

.01585

.01223.029347.027071.025296

.01545

.01191.029094.026873.025143

.01506

.01160.028846.026679.024993

.01468

.01130.028605.026491.024847

.01431

.01100.028370.026307.024705

.01394

.01071.028140.026127.024567

3.0*3.1*3.2*3.3*3.4*

.024432

.023267

.022384

.021723

.021232

.024301

.023167

.022309

.021667

.021191

.024173

.023070

.022236

.021612

.021151

.024049

.022975

.022165

.021560

.021112

.023928

.022884

.022096

.021508

.021075

.023810

.022794

.022029

.021459

.021038

.023695

.022707

.021964

.021411

.021003

.023854

.022623

.021901

.021364

.029689

.023475

.022541

.021840

.021319

.029358

.023370

.022461

.021780

.021275

.029037

3.5*3.6*3.7*3.8*3.9*

.038727

.036119

.034248

.032919

.031987

.038426

.035902

.034093

.032810

.031910

.038135

.035693

.033944

.032705

.031837

.037853

.035490

.033800

.032604

.031766

.037581

.035294

.033661

.032506

.031698

.037317

.035105

.033526

.032411

.031633

.037061

.034921

.033396

.032320

.031569

.036814

.034744

.033721

.032232

.031508

.036575

.034573

.033149

.032147

.031449

.036343

.034408

.033032

.032065

.031393

4.0*4.1*4.2*4.3*4.4*

.031338

.048926

.045894

.043854

.042494

.031286

.048567

.045652

.043691

.042387

.031235

.048222

.045418

.043535

.042284

.031186

.047890

.045194

.043386

.042185

.031140

.047570

.044979

.043242

.042090

.031094

.047263

.044772

.043104

.041999

.031051

.046967

.044573

.042972

.041912

.031009

.046683

.044382

.042845

.041829

.049687

.046410

.044199

.042723

.041749

.049299

.046147

.044023

.042606

.041672

4.5*4.6*4.7*4.8*4.9*

.041598

.041014.06370.03961.02439

.041628

.059684

.056077

.053775

.052322

.041461

.059248

.055797

.053598

.052211

.041393

.058850

.055530

.053428

.052105

.041334

.058430

.055374

.053267

.052003

.041275

.058047

.055030

.053112

.051907

.041218

.057681

.054796

.052965

.051811

.041164

.057331

.054573

.052824

.051727

.041112

.056996

.054360

.052690

.051643

.041062

.056676

.054156

.052561

.051563

【주】 z = 05. 일 때 φ ( ) .z = 0 3521 이며, z = −5 일 때도 식에서 z2 은 (+)값이므로

φ ( . ) .z = − =0 5 0 3521 로 구한다.

A-20 / 부록-부표

− ⋅12

2zf t z( ) ( ) exp= =φπ

12

Page 21

<부표 20> 정규누적확률분포표

z Φ ( )z z Φ ( )z z Φ ( )z z Φ ( )z z Φ ( )z z Φ ( )z

.00

.01

.02

.03

.04

.50000

.50339

.50798

.51197

.51595

.60

.61

.62

.63

.64

.72575

.72907

.73237

.73565

.73891

1.201.211.221.231.24

.88493

.88686

.88877

.89065

.89251

1.801.811.821.831.84

.96047

.96485

.96562

.96638

.96762

2.402.412.422.432.44

.99180

.99202

.99224

.99245

.99266

3.003.013.023.033.04

.99865

.99869

.99874

.99878

.99882

.05

.06

.07

.08

.09

.51994

.52392

.52790

.53188

.53586

.65

.66

.67

.68

.69

.74215

.74537

.74857

.75175

.75490

1.251.261.271.281.29

.89435

.89617

.89795

.89973

.90147

1.851.861.871.881.89

.96784

.96856

.96926

.96995

.97062

2.452.462.472.482.49

.99286

.99305

.99324

.99343

.99361

3.053.063.073.083.09

.99886

.99889

.99893

.99896

.99900

.10

.11

.12

.13

.14

.53983

.54380

.54776

.55172

.55567

.70

.71

.72

.73

.74

.75804

.76115

.76424

.76731

.77035

1.301.311.321.331.34

.90320

.90490

.90658

.90824

.90988

1.901.911.921.931.94

.97128

.97193

.97257

.97320

.97381

2.502.512.522.532.54

.99379

.99396

.99413

.99430

.99446

3.103.113.123.133.14

.99903

.99906

.99910

.99913

.99916

.15

.16

.17

.18

.19

.55962

.56356

.56750

.57142

.57535

.75

.76

.77

.78

.79

.77337

.77637

.77935

.78230

.78524

1.351.361.371.381.39

.91149

.91308

.91466

.91621

.91774

1.951.961.971.981.99

.97441

.97500

.97558

.97615

.97670

2.552.562.572.582.59

.99461

.99477

.99492

.99506

.99520

3.153.163.173.183.19

.99918

.99921

.99924

.99926

.99929

.20

.21

.22

.23

.24

.57926

.58317

.58706

.59095

.59483

.80

.81

.82

.83

.84

.78814

.79103

.79389

.79673

.79955

1.401.411.421.431.44

.91924

.92073

.92220

.92364

.92507

2.002.012.022.032.04

.97725

.97778

.97831

.97882

.97932

2.602.612.622.632.64

.99534

.99557

.99560

.99573

.99585

3.203.213.223.233.24

.99931

.99934

.99936

.99938

.99940

.25

.26

.27

.28

.29

.59871

.60257

.60642

.61026

.61409

.85

.86

.87

.88

.89

.80234

.80511

.80785

.81057

.81327

1.451.461.471.481.49

.92647

.92785

.92922

.93056

.93189

2.052.062.072.082.09

.97982

.98030

.98077

.98124

.98169

2.652.662.672.682.69

.99598

.99609

.99621

.99632

.99643

3.253.263.293.283.29

.99942

.99944

.99946

.99948

.99950

.30

.31

.32

.33

.34

.61791

.62172

.62552

.62930

.63307

.90

.91

.92

.93

.94

.81594

.81858

.82121

.82381

.82639

1.501.511.521.531.54

.93319

.93448

.93574

.93699

.93822

2.102.112.122.132.14

.98214

.98257

.98300

.98341

.98382

2.702.712.722.732.74

.99653

.99664

.99674

.99683

.99693

3.303.313.323.333.34

.99952

.99953

.99955

.99957

.99958

.35

.36

.37

.38

.39

.63683

.64058

.64431

.64803

.65173

.95

.96

.97

.98

.99

.82894

.83147

.83398

.83646

.83891

1.551.561.571.581.59

.93943

.94062

.94179

.94295

.94408

2.152.162.172.182.19

.98422

.98461

.98500

.98537

.98574

2.752.762.772.782.79

.99702

.99711

.99720

.99728

.99736

3.353.363.373.383.39

.99960

.99961

.99962

.99964

.99965

.40

.41

.41

.43

.44

.65542

.65910

.66276

.66640

.67003

1.001.011.021.031.04

.84134

.84375

.84614

.84850

.85083

1.601.611.621.631.64

.94520

.94630

.94738

.94845

.94950

2.202.212.222.232.24

.98610

.98645

.98679

.98713

.98745

2.802.812.822.832.84

.99744

.99752

.99760

.99767

.99774

3.403.413.423.433.44

.99966

.99968

.99969

.99970

.99971

.45

.46

.47

.48

.49

.67364

.67724

.68082

.68439

.68793

1.051.061.071.081.09

.85314

.85543

.85769

.85993

.86214

1.651.661.671.681.69

.95053

.95154

.95254

.95352

.95449

2.252.262.272.282.29

.98778

.93809

.98840

.98870

.98899

2.852.862.872.882.89

.99781

.99788

.99795

.99801

.99807

3.453.463.473.483.49

.99972

.99973

.99974

.99975

.99976

.50

.51

.52

.52

.54

.69146

.69497

.69847

.70194

.70540

1.101.111.121.131.14

.86433

.86650

.86864

.87076

.87286

1.701.711.721.731.74

.95543

.95637

.95728

.95818

.95907

2.302.312.322.332.34

.98928

.98956

.98983

.99010

.99036

2.902.912.922.932.94

.99813

.99819

.99825

.99831

.99836

3.50 .99977

.55

.56

.57

.58

.59

.70884

.71226

.71566

.71904

.72240

1.151.161.171.181.19

.87493

.87698

.87900

.88100

.88298

1.751.761.771.781.79

.95994

.96080

.96164

.96246

.96327

2.352.362.372.382.39

.99061

.99086

.99111

.99134

.99158

2.952.962.972.982.99

.99841

.99846

.99851

.99856

.99861

【주】Φ ( )z 는 −∞에서 z까지 적분한 값이므로 z = 05. 일 때 Φ ( . ) .0 5 0 69146= 이고,

z = −0 5. 일 때 Φ( . ) . .− = − =05 1 0 69146 0 30854이다

신뢰성 분포표 / A-21

z

− ∞

z

− ∞F t z z dt z dt t( ) ( ) exp ( )= = ⋅ − = =

−Φ Φ 1

212

2

πφ μ

σ

Page 22

<부표 21> 감마함수표

0

∞Γ( ) )x t e dt xx t= ⋅ >− − (1 0

A-22 / 부록-부표

Page 23

<부표 22> MTBF(지수분포) 구간추정 계수표 (정시중단)

고장수

r60% 80% 90% 95%

상 하 상 하 상 하 상 하

1

2

3

4

5

4.481

2.426

1.945

1.742

1.618

0.334

0.467

0.544

0.595

0.632

9.491

3.761

2.722

2.293

2.055

0.257

0.376

0.449

0.500

0.539

19.496

5.630

3.669

2.928

2.538

0.211

0.318

0.387

0.437

0.476

39.498

8.262

4.849

3.670

3.080

0.179

0.277

0.342

0.391

0.429

6

7

8

9

10

1.537

1.479

1.435

1.400

1.372

0.661

0.684

0.703

0.719

0.733

1.904

1.797

1.718

1.657

1.607

0.570

0.595

0.616

0.634

0.649

2.296

2.131

2.010

1.917

1.843

0.507

0.532

0.554

0.573

0.590

2.725

2.487

2.316

2.187

2.085

0.459

0.485

0.508

0.527

0.544

11

12

13

14

15

1.349

1.329

1.312

1.297

1.284

0.744

0.755

0.764

0.772

0.780

1.567

1.533

1.504

1.478

1.456

0.663

0.675

0.686

0.696

0.704

1.783

1.733

1.691

1.654

1.622

0.604

0.617

0.629

0.640

0.649

2.003

1.935

1.878

1.829

1.787

0.559

0.572

0.585

0.596

0.606

16

17

18

19

20

1.272

1.262

1.253

1.244

1.237

0.787

0.793

0.799

0.804

0.809

1.437

1.419

1.404

1.390

1.377

0.713

0.720

0.727

0.734

0.740

1.594

1.569

1.547

1.527

1.509

0.658

0.667

0.674

0.682

0.688

1.750

1.717

1.687

1.661

1.637

0.616

0.625

0.633

0.640

0.647

21

22

23

24

25

1.230

1.223

1.217

1.211

1.206

0.813

0.818

0.822

0.825

0.829

1.365

1.354

1.344

1.355

1.327

0.745

0.750

0.755

0.760

0.764

1.492

1.477

1.463

1.450

1.438

0.694

0.700

0.706

0.711

0.716

1.615

1.596

1.578

1.561

1.545

0.654

0.660

0.666

0.672

0.677

26

27

28

29

30

1.201

1.197

1.193

1.189

1.185

0.832

0.835

0.838

0.841

0.844

1.319

1.311

1.304

1.298

1.291

0.768

0.772

0.776

0.780

0.783

1.427

1.417

1.407

1.398

1.389

0.721

0.725

0.729

0.733

0.737

1.531

1.517

1.505

1.493

1.482

0.682

0.687

0.692

0.696

0.700

40

50

60

70

80

90

100

1.156

1.137

1.124

1.113

1.105

1.098

1.093

0.865

0.879

0.839

0.898

0.904

0.910

0.915

1.245

1.214

1.193

1.176

1.163

1.153

1.144

0.810

0.829

0.843

0.854

0.863

0.870

0.877

1.325

1.283

1.254

1.232

1.214

1.200

1.189

0.768

0.790

0.807

0.820

0.830

0.839

0.847

1.400

1.347

1.370

1.283

1.261

1.244

1.229

0.734

0.759

0.777

0.791

0.803

0.814

0.822

신뢰성 분포표 / A-23

Page 24

<부표 23> MTBF(지수분포) 구간추정 계수표 (정수중단)

고장수r

60% 80% 90% 95%

상 하 상 하 상 하 상 하

1

2

3

4

5

4.481

2.426

1.945

1.742

1.618

0.621

0.668

0.701

0.725

0.744

9.491

3.761

2.722

2.293

2.055

0.434

0.514

0.564

0.599

0.626

19.496

5.630

3.669

2.928

2.538

0.334

0.422

0.477

0.516

0.546

39.498

8.262

4.849

3.670

3.080

0.271

0.359

0.415

0.456

0.488

6

7

8

9

10

1.537

1.479

1.435

1.400

1.372

0.759

0.771

0.782

0.791

0.799

1.904

1.797

1.718

1.657

1.607

0.647

0.665

0.680

0.693

0.704

2.296

2.131

2.010

1.917

1.843

0.571

0.591

0.608

0.623

0.637

2.725

2.487

2.316

2.187

2.085

0.514

0.536

0.555

0.571

0.585

11

12

13

14

15

1.349

1.329

1.312

1.297

1.284

0.806

0.812

0.818

0.823

0.828

1.567

1.533

1.504

1.478

1.456

0.714

0.723

0.731

0.738

0.745

1.783

1.733

1.691

1.654

1.622

0.649

0.659

0.669

0.677

0.685

2.003

1.935

1.878

1.829

1.787

0.598

0.610

0.620

0.630

0.639

16

17

18

19

20

1.272

1.262

1.253

1.244

1.237

0.832

0.836

0.840

0.843

0.846

1.437

1.419

1.404

1.390

1.377

0.751

0.757

0.763

0.767

0.772

1.594

1.569

1.547

1.527

1.509

0.693

0.700

0.706

0.712

0.717

1.750

1.717

1.687

1.661

1.637

0.647

0.654

0.661

0.668

0.674

21

22

23

24

25

1.230

1.223

1.217

1.211

1.206

0.849

0.852

0.855

0.857

0.860

1.365

1.354

1.344

1.355

1.327

0.776

0.781

0.784

0.788

0.792

1.492

1.477

1.463

1.450

1.438

0.723

0.728

0.732

0.737

0.741

1.615

1.596

1.578

1.561

1.545

0.680

0.685

0.691

0.695

0.700

26

27

28

29

30

1.201

1.197

1.193

1.189

1.185

0.862

0.864

0.866

0.868

0.870

1.319

1.311

1.304

1.298

1.291

0.795

0.798

0.801

0.804

0.806

1.427

1.417

1.407

1.398

1.389

0.745

0.748

0.752

0.755

0.759

1.531

1.517

1.505

1.493

1.482

0.705

0.709

0.713

0.717

0.720

40

50

60

70

80

90

100

1.156

1.137

1.124

1.113

1.105

1.098

1.093

0.885

0.896

0.904

0.910

0.915

0.920

0.923

1.245

1.214

1.193

1.176

1.163

1.153

1.144

0.828

0.844

0.856

0.865

0.873

0.879

0.885

1.325

1.283

1.254

1.232

1.214

1.200

1.189

0.785

0.804

0.819

0.830

0.840

0.848

0.855

1.400

1.347

1.370

1.283

1.261

1.244

1.229

0.750

0.772

0.785

0.802

0.813

0.822

0.830

A-24 / 부록-부표

Page 25

<부표 24> 오메가 변환표 (1)

p(%) dB p(%) dB p(%) dB p(%) dB p(%) dB p(%) dB

0.00.10.20.30.4

00*

-29.995-26.980-25.215-23.961

5.55.65.75.85.9

-12.350-12.267-12.185-12.105-12.026

11.011.111.211.311.4

-9.079-9.035-8.991-8.947-8.904

16.516.616.716.816.9

-7.041-7.010-6.978-6.947-6.916

22.022.122.222.322.4

-5.496-5.470-5.445-5.420-5.395

27.527.627.727.827.9

-4.209-4.187-4.166-4.144-4.122

0.50.60.70.80.9

-22.988-22.191-21.518-20.933-20.417

6.06.16.26.36.4

-11.949-11.872-11.797-11.723-11.650

11.511.611.711.811.9

-8.861-8.819-8.777-8.735-8.693

17.017.117.217.317.4

-6.885-6.855-6.824-6.794-6.763

22.522.622.722.822.9

-5.370-5.345-5.321-5.296-5.271

28.028.128.228.328.4

-4.101-4.079-4.058-4.036-4.015

1.01.11.21.31.4

-19.955-19.537-19.155-18.803-18.476

6.56.66.76.86.9

-11.578-11.507-11.437-11.368-11.300

12.012.112.212.312.4

-8.652-8.611-8.570-8.530-8.490

17.517.617.717.817.9

-6.733-6.703-6.673-6.644-6.614

23.023.123.223.323.4

-5.427-5.222-5.198-5.173-5.149

28.528.628.728.828.9

-3.994-3.972-3.951-3.930-3.909

1.51.61.71.81.9

-18.172-17.888-17.620-17.367-17.128

7.07.17.27.37.4

-11.233-11.167-11.101-11.037-10.973

12.512.612.712.812.9

-8.450-8.410-8.371-8.332-8.293

18.018.118.218.318.4

-6.584-6.555-6.526-6.497-6.468

23.523.623.723.823.9

-5.125-5.101-5.077-5.053-5.029

29.029.129.229.329.4

-3.888-3.867-3.846-3.825-3.804

2.02.12.22.32.4

-16.901-16.685-16.748-16.281-16.091

7.57.67.77.87.9

-10.910-10.848-10.786-10.725-10.655

13.013.113.213.313.4

-8.255-8.216-8.178-8.141-8.103

18.518.618.718.818.9

-6.439-6.410-6.381-6.353-6.325

24.024.124.224.324.4

-5.005-4.981-4.958-4.934-4.910

29.529.629.729.829.9

-3.787-3.762-3.741-3.720-3.699

2.52.62.72.82.9

-15.910-15.735-15.566-15.404-15.247

8.08.18.28.38.4

-10.606-10.547-10.489-10.432-10.375

13.513.613.713.813.9

-8.066-8.029-7.992-7.955-7.919

19.019.119.219.319.4

-6.296-6.268-6.240-6.212-6.184

24.524.624.724.824.9

-4.887-4.863-4.840-4.817-4.793

30.030.130.230.330.4

-3.679-3.658-3.537-3.617-3.596

3.03.13.23.33.4

-15.096-14.949-14.806-14.688-14.534

8.58.68.78.88.9

-10.319-10.263-10.209-10.154-10.100

14.014.114.214.314.4

-7.883-7.847-7.811-7.775-7.740

19.519.619.719.819.9

-6.157-6.129-6.101-6.074-6.047

25.025.125.225.325.4

-4.770-4.747-4.724-4.701-4.678

30.530.630.730.830.9

-3.576-3.555-3.535-3.515-3.494

3.53.63.73.83.9

-14.404-14.277-14.153-14.033-13.916

9.09.19.29.39.4

-10.047-9.994-9.942-9.890-9.839

14.514.614.714.814.9

-7.705-7.670-7.635-7.601-7.566

20.020.120.220.320.4

-6.020-5.993-5.996-5.939-5.912

25.525.625.725.825.9

-4.655-4.632-4.610-4.587-4.564

31.031.131.231.331.4

-3.474-3.454-3.433-3.413-3.393

4.04.14.24.34.4

-13.801-13.689-13.580-12.473-12.369

9.59.69.79.89.9

-9.788-9.738-9.688-9.639-9.570

15.015.115.215.315.4

-7.532-7.498-7.465-7.431-7.397

20.520.620.720.820.9

-5.885-5.859-5.832-5.806-5.779

26.026.126.226.326.4

-4.542-4.519-4.497-4.474-4.452

31.531.631.731.831.9

-3.373-3.353-3.333-3.313-3.293

4.54.64.74.84.8

-13.267-13.167-13.069-12.973-12.879

10.010.110.210.310.4

-9.541-9.493-9.446-9.399-9.352

15.515.615.715.815.9

-7.364-7.331-7.298-7.266-7.233

21.021.121.221.321.4

-5.753-5.727-5.701-5.675-5.649

26.526.626.726.826.9

-4.429-4.407-4.385-4.363-4.341

32.032.132.232.332.4

-3.273-3.253-3.233-3.213-3.193

5.05.15.25.35.4

-12.787-12.696-12.607-12.520-12.434

10.510.610.710.810.9

-9.305-9.259-9.214-9.168-9.124

16.016.116.216.316.4

-7.201-7.168-7.136-7.104-7.073

21.521.621.721.821.9

-5.623-5.598-5.572-5.547-5.521

27.027.127.227.327.4

-4.319-4.297-4.275-4.253-4.231

32.532.632.732.832.9

-3.173-3.153-3.134-3.114-3.094

실험계획 분포표 (다구찌 품질공학) / A-25

dB = − −⎛⎝⎜

⎞⎠⎟10 1 1log

p

Page 26

오메가 변환표 (2)

p(%) dB p(%) dB p(%) dB p(%) dB p(%) dB p(%) dB

33.033.133.233.333.4

-3.075-3.055-3.055-3.016-2.996

39.039.139.239.339.4

-1.943-1.923-1.905-1.887-1.869

45.045.145.245.345.4

-0.871-0.853-0.835-0.818-0.800

51.051.151.251.351.4

0.1740.1910.2090.2260.243

57.057.157.257.357.4

1.2241.2421.2601.2771.295

63.063.163.263.363.4

2.3112.3302.3492.3672.386

33.533.633.733.833.9

-2.977-2.957-2.938-2.918-2.899

39.539.639.739.839.9

-1.851-1.832-1.814-1.796-1.778

45.545.645.745.845.9

-0.783-0.765-0.748-0.730-0.713

51.551.651.751.851.9

0.2610.2780.2950.3130.330

57.557.657.757.857.9

1.3131.3311.3481.3661.384

63.563.663.763.863.9

2.4052.4242.4422.4612.480

34.034.134.234.334.4

-2.880-2.860-2.841-2.822-2.802

40.040.140.240.340.4

-1.760-1.742-1.724-1.706-1.688

46.046.146.246.346.4

-0.695-0.678-0.660-0.643-0.625

52.052.152.252.352.4

0.3480.3650.3820.4000.417

58.058.158.258.358.4

1.4021.4201.4371.4551.473

64.064.164.264.364.4

2.4902.5182.5372.5552.574

34.534.634.734.834.9

-2.783-2.764-2.745-2.726-2.707

40.540.640.740.840.9

-1.670-1.652-1.634-1.616-1.598

46.546.646.746.846.9

-0.608-0.591-0.573-0.556-0.538

52.552.652.752.852.9

0.4350.4520.4690.4870.504

58.558.658.758.858.9

1.4911.5091.5271.5451.563

64.564.664.764.864.9

2.5932.6122.6312.6502.669

35.035.135.235.335.4

-2.687-2.668-2.649-2.630-2.611

41.041.141.241.341.4

-1.580-1.562-1.544-1.526-1.508

47.047.147.247.347.4

-0.521-0.503-0.486-0.468-0.451

53.053.153.253.353.4

0.5220.5390.5570.5740.592

59.059.159.259.359.4

1.5811.5991.6171.6351.653

65.065.165.265.365.4

2.6882.7082.7272.7462.765

35.535.635.735.835.9

-2.592-2.573-2.554-2.536-2.517

41.541.641.741.841.9

-1.490-1.472-1.454-1.436-1.419

47.547.647.747.847.9

-0.434-0.416-0.399-0.381-0.364

53.553.653.753.853.9

0.6090.6260.6440.6610.679

59.559.659.759.859.9

1.6711.6891.7071.7251.743

65.565.665.765.865.9

2.7842.8032.8232.8422.861

36.036.136.236.336.4

-2.498-2.479-2.460-2.441-2.423

42.042.142.242.342.4

-1.401-1.383-1.365-1.347-1.330

48.048.148.248.348.4

-0.347-0.329-0.312-0.294-0.277

54.054.154.254.354.4

0.6960.7140.7310.7490.766

60.060.160.260.360.4

1.7611.7791.7971.8151.833

66.066.166.266.366.4

2.8812.9002.9192.9392.968

36.536.636.736.836.9

-2.404-2.385-2.366-2.348-2.329

42.542.642.742.842.9

-1.312-1.294-1.276-1.259-1.241

48.548.648.748.848.9

-0.260-0.242-0.225-0.208-0.190

54.554.654.754.854.9

0.7840.8010.8190.8360.854

60.560.660.760.860.9

1.8521.8701.8881.9061.924

66.566.666.766.866.9

2.9782.9973.0173.0363.056

37.037.137.237.337.4

-2.310-2.292-2.273-2.255-2.236

43.043.143.243.343.4

-1.223-1.205-1.188-1.170-1.152

49.049.149.249.349.4

-0.173-0.155-0.138-0.121-0.103

550551552553554

0.8720.8890.9070.9240.942

61.061.161.261.361.4

1.9431.9611.9791.9972.016

67.067.167.267.367.4

3.0763.0953.1153.1353.154

37.537.637.737.837.9

-2.217-2.199-2.180-2.162-2.144

43.543.643.743.843.9

-1.135-1.117-1.099-1.082-1.064

49.549.649.749.849.9

-0.086-0.068-0.051-0.034-0.016

555556557558559

0.9590.9770.9951.0121.030

61.561.661.761.861.9

2.0342.0522.0712.0892.108

67.567.667.767.867.9

3.1743.1943.2143.2343.254

38.038.138.228.338.4

-2.125-2.107-2.088-2.070-2.051

44.044.144.244.344.4

-1.046-1.029-1.011-0.994-0.976

50.050.150.250.350.4

0.0000.0170.0350.0520.069

560561562563564

1.0471.0651.0831.1001.118

62.062.162.262.362.4

2.1262.1452.1632.1812.200

68.068.168.268.368.4

3.2743.2943.3143.3343.354

38.538.638.738.838.9

-2.033-2.015-1.996-1.978-1.960

44.544.644.744.844.9

-0.958-0.941-0.923-0.906-0.888

50.550.650.750.850.9

0.0870.1040.1220.1390.156

565566567568569

1.1361.1531.1711.1891.206

62.562.662.762.862.9

2.2182.2372.2562.2742.293

68.568.668.768.868.9

3.3743.3943.4143.4343.455

A-26 / 부록-부표

dB = − −⎛⎝⎜

⎞⎠⎟10 1 1log

p

Page 27

오메가 변환표 (3)

p(%) dB p(%) dB p(%) dB p(%) dB p(%) dB p(%) dB

69.069.169.269.369.4

3.4753.4953.5163.5363.556

74.574.674.774.874.9

4.6564.6794.7024.7254.748

80.080.180.280.380.4

6.0216.0486.0756.1026.130

85.585.685.785.885.9

7.7067.7417.7767.8127.848

91.091.191.291.391.4

10.04810.11110.15510.21010.264

96.596.696.796.896.9

14.40514.53514.66914.80714.950

69.569.669.769.869.9

3.5773.5973.6183.6383.659

75.075.175.275.375.4

4.7714.7944.8184.8414.864

80.580.680.780.880.9

6.1586.1856.2136.2416.269

86.086.186.286.386.4

7.8847.9207.9567.9938.030

91.591.691.791.891.9

10.32010.37610.43310.49010.548

97.097.197.297.397.4

15.09715.24815.40515.56715.736

70.070.170.270.370.4

3.6803.7003.7213.7423.763

75.575.675.775.875.9

4.8884.9114.9354.9594.982

81.081.181.281.381.4

6.2976.3266.3546.3826.411

86.586.686.786.886.9

8.0678.1048.1428.1798.217

92.092.192.292.392.4

10.60710.66610.72610.78710.849

97.597.697.797.897.9

15.91116.09216.28216.47916.686

70.570.670.770.870.9

3.7843.8053.8263.8473.868

76.076.176.276.376.4

5.0065.0305.0545.0785.102

81.581.681.781.881.9

6.4406.4696.4986.5276.556

87.087.187.287.387.4

8.2568.2948.3338.3728.411

92.592.692.792.892.9

10.91110.97411.03811.10211.168

98.098.198.298.398.4

16.90217.12917.36817.62117.889

71.071.171.271.371.4

3.8893.9103.9313.9523.973

76.576.676.776.876.9

5.1265.1505.1745.1995.223

82.082.182.282.382.4

6.5856.6156.6456.6746.704

87.587.687.787.887.9

8.4518.4918.5318.5718.612

93.093.193.293.393.4

11.23411.30111.36911.43811.508

98.598.698.798.898.9

18.17318.47718.80419.15619.538

71.571.671.771.871.9

3.9954.0164.0374.0594.080

77.077.177.277.377.4

5.2485.2725.2975.3225.346

82.582.682.782.882.9

6.7346.7646.7956.8256.856

88.088.188.288.388.4

8.6538.6948.7368.7788.820

93.593.693.793.893.9

11.57911.65111.72411.79811.873

99.099.199.299.399.4

19.95620.41820.93421.51922.192

72.072.172.272.372.4

4.1024.1234.1454.1674.188

77.577.677.777.877.9

5.3715.3965.4215.4465.471

83.083.183.283.383.4

6.8866.9176.9486.9797.011

88.588.688.788.888.9

8.8628.9058.9488.9929.036

94.094.194.294.394.4

11.95012.02712.10612.18612.268

99.599.699.799.899.9

22.98923.96225.21626.98129.996

72.572.672.772.872.9

4.2104.2324.2544.2764.298

78.078.178.278.378.4

5.4975.5225.5485.5735.599

83.583.683.783.883.9

7.0427.0747.1057.1377.169

89.089.189.289.389.4

9.0809.1259.1699.2159.260

94.594.694.794.894.9

12.35112.43512.52112.60812.697

100.0 ∞*.

73.073.173.273.373.4

4.3204.3424.3644.3864.408

78.578.678.778.878.9

5.6245.6505.6765.7025.728

84.084.184.284.384.4

7.2027.2347.2677.2997.332

89.589.689.789.889.9

9.3069.3539.4009.4479.494

95.095.195.295.395.4

12.78812.88012.97412.07012.188

73.573.673.773.873.9

4.4304.4534.4754.4984.520

79.079.179.279.379.4

5.7545.7805.8075.8335.860

84.584.684.784.884.9

7.3657.3987.4327.4667.499

90.090.190.290.390.4

9.5429.5919.6409.6899.739

95.595.695.795.895.9

13.26813.37013.47413.58113.690

74.074.174.274.374.4

4.5434.5654.5884.6114.633

79.579.679.779.879.9

5.8865.9135.9405.9675.994

85.085.185.285.385.4

7.5337.5677.6027.6367.671

90.590.690.790.890.9

9.7899.8409.8919.9439.995

96.096.196.296.396.4

13.80213.91714.03414.15414.278

실험계획 분포표 (다구찌 품질공학) / A-27

dB = − −⎛⎝⎜

⎞⎠⎟10 1 1log

p

Page 28

<부표 25> 데시벨(dB)표 (1)

η dB η dB η dB η dB η dB η dB

1.00

1.01

1.02

1.03

1.04

0.00

0.04

0.09

0.13

0.17

1.50

1.51

1.52

1.53

1.54

1.76

1.79

1.81

1.85

1.88

2.00

2.01

2.02

2.03

2.04

3.01

3.03

3.05

3.08

3.10

2.50

2.51

2.52

2.53

2.54

3.98

4.00

4.01

4.03

4.05

3.00

3.01

3.02

3.03

3.04

4.77

4.79

4.80

4.81

4.83

3.50

3.51

3.52

3.53

3.54

5.44

5.45

5.47

5.48

5.49

1.05

1.06

1.07

1.08

1.09

0.21

0.25

0.29

0.33

0.37

1.55

1.56

1.67

1.58

1.59

1.90

1.93

1.96

1.99

2.01

2.05

2.06

2.07

2.08

2.09

3.12

3.14

3.16

3.18

3.20

2.55

2.56

2.57

2.58

2.59

4.06

4.08

4.10

4.12

4.13

3.05

3.06

3.07

3.08

3.09

4.84

4.86

4.87

4.89

4.90

3.55

3.56

3.57

3.58

3.59

5.50

5.51

5.53

5.54

5.55

1.10

1.11

1.12

1.13

1.14

0.41

0.45

0.49

0.53

0.57

1.60

1.61

1.62

1.63

1.64

2.04

2.07

2.10

2.12

2.15

2.10

2.11

2.12

2.13

2.14

3.22

3.24

3.26

3.28

3.30

2.60

2.61

2.62

2.63

2.64

4.15

4.17

4.18

4.20

4.22

3.10

3.11

3.12

3.13

3.14

4.91

4.93

4.94

4.96

4.97

3.60

3.61

3.62

3.63

3.64

5.56

5.58

5.59

5.60

5.61

1.15

1.16

1.17

1.18

1.19

0.61

0.64

0.68

0.72

0.76

1.65

1.66

1.67

1.68

1.69

2.18

2.20

2.23

2.25

2.28

2.15

2.16

2.17

2.18

2.19

3.32

3.34

3.36

3.38

3.40

2.65

2.66

2.67

2.68

2.69

4.23

4.25

4.27

4.28

4.30

3.15

3.16

3.17

3.18

3.19

4.98

5.00

5.01

5.02

5.04

3.65

3.66

3.67

3.68

3.69

5.62

5.64

5.65

5.66

5.67

1.20

1.21

1.22

1.23

1.24

0.79

0.83

0.86

0.90

0.93

1.70

1.71

1.72

1.73

1.74

2.30

2.33

2.36

2.38

2.40

2.20

2.21

2.22

2.23

2.24

3.42

3.44

3.46

3.48

3.50

2.70

2.71

2.72

2.73

2.74

4.31

4.33

4.35

4.36

4.38

3.20

3.21

3.22

3.23

3.24

5.05

5.07

5.08

5.09

5.11

3.70

3.71

3.72

3.73

3.74

5.68

5.69

5.71

5.72

5.73

1.25

1.26

1.27

1.28

1.29

0.97

1.00

1.04

1.07

1.11

1.75

1.76

1.77

1.78

1.79

2.43

2.46

2.48

2.50

2.53

2.25

2.26

2.27

2.28

2.29

3.52

3.54

3.56

3.58

3.60

2.75

2.76

2.77

2.78

2.79

4.39

4.41

4.42

4.44

4.46

3.25

3.26

3.27

3.28

3.29

5.12

5.13

5.14

5.16

5.17

3.75

3.76

3.77

3.78

3.79

5.74

5.75

5.76

5.77

5.79

1.30

1.31

1.32

1.33

1.34

1.14

1.17

1.21

1.24

1.27

1.80

1.81

1.82

1.83

1.84

2.55

2.58

2.60

2.62

2.65

2.30

2.31

2.32

2.33

2.34

3.62

3.64

3.66

3.67

3.69

2.80

2.81

2.82

2.83

2.84

4.47

4.49

4.50

4.52

4.53

3.30

3.31

3.32

3.33

3.34

5.18

5.20

5.21

5.22

5.24

3.80

3.81

3.82

3.83

3.84

5.80

5.81

5.82

5.83

5.84

1.35

1.36

1.37

1.38

1.39

1.30

1.34

1.37

1.40

1.43

1.85

1.86

1.87

1.88

1.89

2.67

2.70

2.72

2.74

2.76

2.35

2.36

2.37

2.38

2.39

3.71

3.73

3.75

3.77

3.78

2.85

2.86

2.87

2.88

2.89

4.55

4.56

4.58

4.59

4.61

3.35

3.36

3.37

3.38

3.39

5.25

5.26

5.28

5.29

5.30

3.85

3.86

3.87

3.88

3.89

5.85

5.87

5.88

5.89

5.90

1.40

1.41

1.42

1.43

1.44

1.46

1.49

1.52

1.55

1.58

1.90

1.91

1.92

1.93

1.94

2.79

2.81

2.83

2.86

2.88

2.40

2.40

2.42

2.43

2.44

3.80

3.82

3.84

3.86

3.87

2.90

2.91

2.92

2.93

2.94

4.62

4.64

4.65

4.67

4.68

3.40

3.41

3.42

3.43

3.44

5.32

5.33

5.34

5.35

5.37

3.90

3.91

3.92

3.93

3.94

5.91

5.92

5.93

5.94

5.96

1.45

1.46

1.47

1.48

1.49

1.61

1.64

1.67

1.70

1.73

1.95

1.96

1.97

1.98

1.99

2.90

2.92

2.94

2.97

2.99

2.45

2.46

2.47

2.48

2.49

3.89

3.91

3.93

3.94

3.96

2.95

2.96

2.97

2.98

2.99

4.70

4.71

4.73

4.74

4.76

3.45

3.46

3.47

3.48

3.49

5.38

5.39

5.40

5.42

5.43

3.95

3.96

3.97

3.98

3.99

5.97

5.98

5.99

6.00

6.01

A-28 / 부록-부표

dB = 10logη