Материал: Статистические методы в управлении качеством ЧАСТЬ 1

λ или

Число событий, r

np

10

11

12

13

14

15

16

17

18

19

7,2

887

937

967

984

993

997

999

999

1000

7,4

871

926

961

980

991

996

998

999

1000

7,6

854

915

954

976

989

995

998

999

1000

7,8

835

902

945

971

986

993

997

999

1000

8,0

816

888

936

966

983

992

996

998

999

1000

8,5

763

849

909

949

973

986

993

997

999

999

9,0

706

803

876

926

959

978

989

995

998

999

9,5

645

752

836

898

940

967

982

991

996

998

10,0

583

697

792

864

917

951

973

986

993

997

λ или

20

21

22

np

8,5

1000

9,0

1000

9,5

999

1000

10,0

999

999

1000

Ас

Значения р2 /р1 для α = 0,05

пр1

Ас

Значения р2 /р1 для α = 0,01

пр1

β = 0,10

β = 0,05

β = 0,01

β = 0,10

β = 0,05

β = 0,01

0

44,890

58,404

49,781

0,052

0

229,105

298,073

458,210

0,010

1

10,946

13,349

18,681

0,355

1

26,184

31,933

44,686

0,149

2

6,509

7,699

10,280

0,818

2

12,206

14,439

19,278

0,436

3

4,890

5,675

7,352

1,366

3

8,115

9,418

12,202

0,823

4

4,057

4,646

5,890

1,.970

4

6,249

7,156

9,072

1,279

5

3,549

4,023

5,017

2,613

5

5,195

5,889

7,343

1,785

6

3,206

3,604

4,435

3,286

6

4,520

5,082

6,253

2,330

7

2,957

3,303

4,019

3,981

7

4,050

4,524

5,506

2,906

8

2,768

3,074

3,707

4,695

8

3,705

4,115

4,962

3,507

9

2,618

2,895

3,462

5,476

9

3,440

3,803

4,543

4,130

10

2,497

2,750

3,265

6,169

10

3,229

3,555

4,222

4,771

11

2,397

2,630

3,104

6,924

11

3,058

3,354

3,959

5,428

12

2,312

2,528

2,968

7,690

12

2,915

3,188

3,742

6,099

13

7,240

2,442

2,852

8,464

13

2,795

3,047

3,559

6,782

14

2,177

2,367

2,752

9,246

14

2,692

2,927

3,403

7,477

15

2,122

2,302

2,665

10,035

15

2,603

2,823

3,269

8,181

16

2,073

2,244

2,588

10,831

16

2,524

2,732

3,151

8,895

17

2,029

2,192

2,520

11,633

17

2,455

2,652

3,048

9,616

18

1,990

2,145

2,458

12,442

18

2,393

2,580

2,956

10,346

19

1,954

2,103

2,403

13,254

19

2,337

2,516

2,874

11,082

20

1,922

2,065

2,352

14,072

20

2,287

2,458

2,799

11,825

21

1,892

2,030

2,307

14,894

21

2,241

2,405

2,733

12,574

22

1,865

1,999

2,265

15,719

22

2,200

2,357

2,671

13,329

23

1,840

1,969

2,223

16,548

23

2,162

2,313

2,615

14,038

24

1,817

1,942

2,191

17,382

24

2,126

2,272

2,564

14,853

25

1,795

1,917

2,158

18,218

25

2,094

2,.235

2,516

15,623

26

1,775

1,893

2,127

19,058

26

2,064

2,200

2,472

16,397

27

1,757

1,871

2,098

19,900

27

2,035

2,168

2,431

17,175

28

1,739

1,850

2,071

20,746

28

2,009

2,138

2,393

17,957

29

1,723

1,531

2,046

21,594

29

1,985

2,110

2,353

18,742

30

1,707

1,813

2,023

22,444

30

1,962

2,083

2,324

19,532

31

1,692

1,796

2,001

23,298

31

1,940

2,059

2,293

20,324

32

1,679

1,780

1,980

24,152

32

1,920

2,035

2,264

21,120

33

1,665

1,764

1,960

25,010

33

1,900

2,013

2,236

21,919

34

1,653

1,750

1,941

25,870

34

1,382

1,992

2,210

22,721

35

1,641

1,736

1,923

26,731

35

1,865

1,973

2,185

23,525

36

1,630

1,723

1,906

27,594

36

1,848

1,954

2,162

24,333

37

1,619

1,710

1,390

28,460

37

1,833

1,936

2,139

25,143

38

1,609

1,698

1,875

29,327

38

1,818

1,920

2,118

25,955

39

1,599

1,687

1,860

30,196

39

1,804

1,903

2,098

26,770

40

1,590

1,676

1,846

31,066

40

1,790

1,887

2,049

27,587

41

1,581

1,666

1,833

31,918

41

1,777

1,873

2,060

28,406

42

1,572

1,656

1,820

32,812

42

1,765

1,859

2,043

29,228

Ас

Значения р2 /р1 для α = 0,05

пр1

Ас

Значения р2 /р1 для α=0,01

пр1

β = 0,10

β = 0,05

β = 0,01

β = 0,10

β = 0,05

β = 0,01

43

1,564

1,646

1,807

33,686

43

1,753

1,845

2,026

30,05 1

44

1,556

1,637

1,796

34,563

44

1,742

1,832

2,010

30,877

45

1,548

1,628

1,784

35,441

45

1,731

1,820

1,994

31,704

46

1,541

1,619

1,773

36,370

46

1,720

1,808

1,980

32,534

47

1,534

1,613

1,763

37,200

47

1,710

1,796

1,965

33,365

48

1,527

1,603

1,752

38,082

48

1,701

1,785

1,952

34,198

49

1,521

1,596

1,743

38,965

49

1,691

1,775

I,938

35, 032

Ра

0,995

0,990

0,975

0,950

0,900

0,750

0,500

0,250

0,100

0,050

0,025

0,010

0,005

Ac=0

0,005

0,010

0,025

0,051

0,105

0,288

0,693

1,386

2,303

2,996

3,689

4,605

5,298

1

0,103

0,149

0,242

0,355

0,532

0,961

1,678

2,693

3,890

4,744

5,572

6,638

7,430

2

0,338

0,436

0,619

0,818

1,102

1,727

2,674

3,920

5,322

6,296

7,224

8,406

9,274

3

0,672

0,823

1,090

1,366

1,745

2,535

3,672

5,109

6,681

7,754

3,768

10,045

10,978

4

1,078

1,279

1,623

1,970

2,433

3,369

4,671

6,274

7,994

9,154

10,242

11,605

12,594

5

1,537

1,785

2,202

2,613

3,152

4,219

5,670

7,423

9,275

10,513

11,668

13,108

14,150

6

2,037

2,330

2,314

3,286

3,895

5,083

6,670

8,558

10,532

11,842

13,060

14,571

15,660

7

2,571

2,906

3,454

3,981

4,656

5,956

7,669

9,684

11,771

13,148

14,422

16,000

17,134

8

3,132

3,507

4,115

4,695

5,432

6,838

8,669

10,802

12,995

14,434

15,763

17,403

18,575

9

3,717

4,130

4,795

5,426

6,221

7,726

9,669

11,914

14,206

15,705

17,085

18,783

19,998

10

4,321

4,771

5,491

6,169

7,021

8,520

10,668

13,020

15,407

16,962

18,390

20,145

21,398

11

4,943

5,428

6,201

6,924

7,829

9,519

11,668

14,121

16,J98

13,208

19,682

21,490

22,770

12

5,580

6,099

6,922

7,690

8,646

10,422

12,668

15,217

17,782

19,442

20,962

22,821

24,145

13

6,231

6,782

7,654

8,464

9,470

11,329

13,668

16,310

18,958

20,663

22,230

24,139

25,496

14

6,893

7,477

8,396

9,246

10,300

12,239

14,668

17,400

20,128

21,886

23,490

25,446

26,836

15

7,566

8,181

9,144

10,035

11,135

13,152

15,668

18,486

21,292

23,098

24,741

27,743

28,166

16

8,249

8,895

9,902

10,831

11,976

14,068

16,668

19,570

22,452

24,302

25,984

28,031

29,484

17

8,942

9,616

10,666

11,633

12,822

14,986

17,668

20,652

23,606

25,500

27,220

29,310

30,792

18

9,644

10,346

11,438

12,442

13,672

15,907

18,668

21,731

24,756

26,692

28,448

30,581

32,092

19

10,353

11,082

12,216

13,254

14,525

16,830

19,668

22,808

25,902

27,879

29,671

31,845

33,333

20

11,069

11,825

12,999

14,072

15,383

17,755

20,668

23,883

27,045

29,062

30,888

33,10З

34,668

21

11,791

12,574

13,787

14,894

16,244

18,682

21,668

24,956

28,184

30,241

32,102

34,355

35,947

22

12,520

13,329

14,580

15,719

17,108

19,610

22,668

26,028

29,320

31,416

33,309

35,601

37,259

23

13,255

14,088

15,377

I6,548

17,975

20,540

23,668

27,098

30,453

32,586

34,512

36,841

38,485

24

13,995

14,353

16,178

17,382

18,844

21,471

24,668

28,167

31,584

33,752

35,710

38,077

39,745

25

14,740

15,623

16,984

18,218

19,717

22,404

25,667

29,234

32,711

34,916

36,905

39,308

41,000

26

15,490

16,397

17,793

19,058

20,592

23,338

26,667

30,300

33,836

36,077

38,096

40,535

42,252

27

16,245

17,175

18,606

19,900

21,469

24,273

27,667

31,365

34,959

37,234

39,284

41,757

43,497

28

17,004

17,957

19,422

20,746

22,348

25,209

28,667

32,428

36,080

38,389

40,465

42,975

44,738

29

17,767

18,742

20,241

21,594

23,229

26,147

29,667

33,491

37,195

39,541

41,649

44,190

45,976

30

18,534

19,532

21,063

22,444

24,113

27,086

30,667

34,552

38,315

40,690

42,827

45,401

47,210

31

19,305

20,324

21,888

23,298

24,998

28,025

31,667

35,613

39,430

41,838

44,002

46,609

48,440

32

20,079

21,120

22,716

24,152

25,885

28,966

32,667

36,672

40,543

42,982

45,174

47,311

49,666

33

20,856

21,919

23,546

25,010

26,774

29,907

33,667

37,731

41,654

44,125

46,344

49,015

50,888

34

21,638

22,721

24,379

25,870

27,664

30,849

34,667

38,788

42,764

45,266

47,512

50,213

52,108

35

22,422

23,525

25,214

26,731

28,556

31,792

35,667

39,845

43,872

46,404

48,676

51,409

53,324

36

23,208

24,333

26,052

27,594

29,450

32,736

36,667

40,901

44,978

47,540

49,840

52,601

54,538

37

23,998

25,143

26,891

28,460

30,345

33,68!

37,667

41,957

46,083

48,676

51,000

53,791

55,748

38

24,791

25,955

27,733

29,327

31,241

34,626

38,667

43,011

47,137

49,308

52,158

54,979

56,956

39

25,536

26,770

28,576

30, 96

32,139

35,572

39,667

44,065

48,289

50,940

53,314

56,164

58,160

40

26,384

27,587

29,422

31,066

33,038

36,519

40,667

45,118

49,390

52,069

54,469

57,347

59,363

41

27,134

28,406

30,270

31,938

33,938

37,466

41,667

46,171

50,490

53,197

55,622

58,528

60,563

42

27,986

29,228

31,120

32,812

34,839

38,414

42,667

47,223

51,589

54,324

56,772

59,717

61,761

43

28,791

30,051

31,970

33,686

35,742

39,363

43,667

48,274

52,686

55,449

57,921

60,884

62,956

Ра

0,995

0,990

0,975

0,950

0,900

0,750

0,500

0,250

0,100

0,050

0,025

0,010

0,005

44

29,598

50,877

32,324

34,563

36,646

40,312

44,667

49,325

53,782

56,572

59,068

62,059

64,150

45

30,408

31,704

33,678

35,441

37,550

43,262

45,667

50,375

54,878

57,695

60,214

63,231

65,340

46

31,219

32,534

34,534

36,320

38,456

42,212

46,667

51,425

55,972

58,816

60,358

64,402

66,529

47

32,032

33,365

35,392

37,200

39,363

43,163

47,667

52,474

57,064

59,936

62,500

65,571

67,716

48

32,348

34,198

36,250

38,082

40,270

44,115

48,667

53,522

58,158

61,054

63,641

66,738

68,901

49

33,664

35,032

37,111

38,965

41,179

45,067

49,667

54,571

59,249

62,171

64,780

67,903

70,084

Таблица П6

Коды объема выборки

Объем партии

Код объема выборки при уровне контроля

специальном

общем

S-1

S-2

S-3

S-4

I

II

III

От 2 до 8 включительно

А

А

А

А

А

А

B

От 9 до 15

А

А

А

А

А

В

C

От 16 до 25

А

А

В

В

В

С

D

От 26 до 50

А

В

В

С

С

D

Е

От 51 до 90

В

В

С

C

С

Е

F

От 91 до 150

В

В

С

D

D

F

G

От 151 до 280

В

С

D

Е

Е

G

Н

От 281 до 500

В

С

D

Е

F

Н

J

От 501 до 1200

С

С

Е

F

G

J

K

От 1201 до 3200

С

D

Е

G

Н

K

L

От 3201 до 10000

С

D

F

G

J

L

М

От 10001 до 35000

С

D

F

Н

K

М

N

От 35001 до 150000

D

Е

G

J

L

N

P

От 150001 до 500000

D

Е

G

J

М

P

Q

Свыше 500000

D

Е

Н

K

N

Q

R