Download ANSI ASQ Z1.9-2008 PDF

TitleANSI ASQ Z1.9-2008
File Size687.7 KB
Total Pages117
Document Text Contents
Page 1

ANSI/ASQ Z1.9-2008

AMERICAN SOCIETY FOR QUALITY
600 NORTH PLANKINTON AVENUE
MILWAUKEE, WISCONSIN 53201

AMERICAN NATIONAL STANDARD

SAMPLING PROCEDURES AND TABLES FOR INSPECTION BY
VARIABLES FOR PERCENT NONCONFORMING

00.Z1.9.Cover.qxd:00.Z1.9.Cover.qxd 2/17/09 2:46 PM Page i

Page 2

AMERICAN NATIONAL STANDARD

SAMPLING PROCEDURES AND TABLES FOR INSPECTION
BY VARIABLES FOR PERCENT NONCONFORMING

PREPARED BY

ACCREDITED STANDARDS COMMITTEE
Z1 SUBCOMMITTEE ON STATISTICS

SPONSOR AND SECRETARIAT

AMERICAN SOCIETY FOR QUALITY

ANSI/ASQ Z1.9-2008

ABSTRACT

Sampling Procedures and Tables for Inspection by Variables for Percent Nonconforming is an acceptance sampling system
to be used on a continuing stream of lots for AQL specified. It provides tightened, normal, and reduced plans to be used on
measurements which are normally distributed. Variation may be measured by sample standard deviation, sample range, or
known standard deviation. It is applicable only when the normality of the measurements is assured.

AMERICAN NATIONAL STANDARD: An American National Standard implies a consensus of those substantially con-
cerned with its scope and provisions. An American National Standard is intended as a guide to aid the manufacturer, the
consumer, and the general public. The existence of an American National Standard does not in any respect preclude any-
one, whether he has approved the standard or not, from manufacturing, marketing, purchasing, or using products, process-
es, or procedures not conforming to the standard. American National Standards are subject to periodic review and users are
cautioned to obtain the latest edition.

CAUTION NOTICE: This American National Standard may be revised or withdrawn at any time. The procedures of the
American National Standards Institute require that action be taken to reaffirm, revise, or withdraw this standard no later
than five years from the date of publication. Purchasers of American National Standards may receive current information
on all standards by calling or writing the American National Standards Institute.

00.Z1.9.fm(i-x).qxd:00.Z1.9.fm(i-x).qxd 2/17/09 2:48 PM Page i

Page 58

ANSI/ASQ Z1.9-2008

47

Table B-5—Continued
Table for Estimating the Lot Percent Nonconforming Using Standard Deviation Method1

1Values tabulated are read in percent.

Sample SizeQU
or
QL

1.50
1.51
1.52
1.53
1.54
1.55
1.56
1.57
1.58
1.59

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

3.80
3.61
3.42
3.23
3.05
2.87
2.69
2.52
2.35
2.19

5.28
5.13
4.97
4.82
4.67
4.52
4.38
4.24
4.10
3.96

5.87
5.73
5.59
5.45
5.31
5.18
5.05
4.92
4.79
4.66

6.20
6.06
5.93
5.80
5.67
5.54
5.41
5.29
5.16
5.04

6.34
6.20
6.07
5.94
5.81
5.69
5.56
5.44
5.32
5.20

6.41
6.28
6.15
6.02
5.89
5.77
5.65
5.53
5.41
5.29

6.46
6.33
6.20
6.07
5.95
5.82
5.70
5.58
5.46
5.34

6.50
6.36
6.23
6.11
5.98
5.86
5.74
5.62
5.50
5.38

6.55
6.42
6.29
6.17
6.04
5.92
5.80
5.68
5.56
5.45

6.60
6.47
6.34
6.21
6.09
5.97
5.85
5.73
5.61
5.50

6.62
6.49
6.36
6.24
6.11
5.99
5.87
5.75
5.64
5.52

6.64
6.51
6.38
6.26
6.13
6.01
5.89
5.78
5.66
5.55

6.65
6.52
6.39
6.27
6.15
6.02
5.90
5.79
5.67
5.56

1.60
1.61
1.62
1.63
1.64
1.65
1.66
1.67
1.68
1.69

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

2.03
1.87
1.72
1.57
1.42
1.28
1.15
1.02
0.89
0.77

3.83
3.69
3.57
3.44
3.31
3.19
3.07
2.95
2.84
2.73

4.54
4.41
4.30
4.18
4.06
3.95
3.84
3.73
3.62
3.52

4.92
4.81
4.69
4.58
4.47
4.36
4.25
4.15
4.05
3.94

5.08
4.97
4.86
4.75
4.64
4.53
4.43
4.32
4.22
4.12

5.17
5.06
4.95
4.84
4.73
4.62
4.52
4.42
4.32
4.22

5.23
5.12
5.01
4.90
4.79
4.68
4.58
4.48
4.38
4.28

5.27
5.16
5.04
4.94
4.83
4.72
4.62
4.52
4.42
4.32

5.33
5.22
5.11
5.01
4.90
4.79
4.69
4.59
4.49
4.39

5.38
5.27
5.16
5.06
4.95
4.85
4.74
4.64
4.55
4.45

5.41
5.30
5.19
5.08
4.98
4.87
4.77
4.67
4.57
4.47

5.43
5.32
5.21
5.11
5.00
4.90
4.80
4.70
4.60
4.50

5.44
5.33
5.23
5.12
5.01
4.91
4.81
4.71
4.61
4.51

1.70
1.71
1.72
1.73
1.74
1.75
1.76
1.77
1.78
1.79

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

0.66
0.55
0.45
0.36
0.27
0.19
0.12
0.06
0.02
0.00

2.62
2.51
2.41
2.30
2.20
2.11
2.01
1.92
1.83
1.74

3.41
3.31
3.21
3.11
3.02
2.93
2.83
2.74
2.66
2.57

3.84
3.75
3.65
3.56
3.46
3.37
3.28
3.20
3.11
3.03

4.02
3.93
3.83
3.74
3.65
3.56
3.47
3.38
3.30
3.21

4.12
4.02
3.93
3.84
3.75
3.66
3.57
3.48
3.40
3.32

4.18
4.09
3.99
3.90
3.81
3.72
3.63
3.55
3.47
3.38

4.22
4.13
4.04
3.94
3.85
3.77
3.68
3.59
3.51
3.43

4.30
4.20
4.11
4.02
3.93
3.84
3.76
3.67
3.59
3.51

4.35
4.26
4.17
4.08
3.99
3.90
3.81
3.73
3.64
3.56

4.38
4.29
4.19
4.10
4.01
3.93
3.84
3.76
3.67
3.59

4.41
4.31
4.22
4.13
4.04
3.95
3.87
3.78
3.70
3.62

4.42
4.32
4.23
4.14
4.05
3.97
3.88
3.80
3.71
3.63

1.80
1.81
1.82
1.83
1.84
1.85
1.86
1.87
1.88
1.89

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

1.65
1.57
1.49
1.41
1.34
1.26
1.19
1.12
1.06
0.99

2.49
2.40
2.32
2.25
2.17
2.09
2.02
1.95
1.88
1.81

2.94
2.86
2.79
2.71
2.63
2.56
2.48
2.41
2.34
2.28

3.13
3.05
2.98
2.90
2.82
2.75
2.68
2.61
2.54
2.47

3.24
31.6
3.08
3.00
2.93
2.85
2.78
2.71
2.64
2.57

3.30
3.22
3.15
3.07
2.99
2.92
2.85
2.78
2.71
2.64

3.35
3.27
3.19
3.11
3.04
2.97
2.89
2.82
2.75
2.69

3.43
3.35
3.27
3.19
3.12
3.05
2.97
2.90
2.83
2.77

3.48
3.40
3.33
3.25
3.18
3.10
3.03
2.96
2.89
2.83

3.51
3.43
3.36
3.28
3.21
3.13
3.06
2.99
2.92
2.85

3.54
3.46
3.38
3.31
3.23
3.16
3.09
3.02
2.95
2.88

3.55
3.47
3.40
3.32
3.25
3.17
3.10
3.03
2.96
2.90

3 4 5 7 10 15 20 25 30 35 50 75 100 150 200

01.Z1.9(001-104).qxd 2/17/09 2:40 PM Page 47

Page 59

ANSI/ASQ Z1.9-2008

48

Table B-5—Continued
Table for Estimating the Lot Percent Nonconforming Using Standard Deviation Method1

1Values tabulated are read in percent.

Sample SizeQU
or
QL

1.90
1.91
1.92
1.93
1.94
1.95
1.96
1.97
1.98
1.99

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

0.93
0.87
0.81
0.76
0.70
0.65
0.60
0.56
0.51
0.47

1.75
1.68
1.62
1.56
1.50
1.44
1.38
1.33
1.27
1.22

2.21
2.14
2.08
2.02
1.96
1.90
1.84
1.78
1.73
1.67

2.40
2.34
2.27
2.21
2.15
2.09
2.03
1.97
1.92
1.86

2.51
2.44
2.38
2.32
2.25
2.19
2.14
2.08
2.02
1.97

2.57
2.51
2.45
2.38
2.32
2.26
2.20
2.14
2.09
2.03

2.62
2.56
2.49
2.43
2.37
2.31
2.25
2.19
2.13
2.08

2.70
2.63
2.57
2.51
2.45
2.39
2.33
2.27
2.21
2.16

2.76
2.69
2.63
2.57
2.51
2.45
2.39
2.33
2.27
2.22

2.79
2.72
2.66
2.60
2.54
2.48
2.42
2.36
2.30
2.25

2.82
2.75
2.69
2.63
2.56
2.50
2.44
2.39
2.33
2.27

2.83
2.77
2.70
2.64
2.58
2.52
2.46
2.40
2.34
2.29

2.00
2.01
2.02
2.03
2.04
2.05
2.06
2.07
2.08
2.09

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

0.43
0.39
0.36
0.32
0.29
0.26
0.23
0.21
0.18
0.16

1.17
1.12
1.07
1.03
0.98
0.94
0.90
0.86
0.82
0.78

1.62
1.57
1.52
1.47
1.42
1.37
1.33
1.28
1.24
1.20

1.81
1.76
1.71
1.66
1.61
1.56
1.51
1.47
1.42
1.38

1.91
1.86
1.81
1.76
1.71
1.66
1.61
1.57
1.52
1.48

1.98
1.93
1.87
1.82
1.77
1.73
1.68
1.63
1.59
1.54

2.03
1.97
1.92
1.87
1.82
1.77
1.72
1.68
1.63
1.59

2.10
2.05
2.00
1.95
1.90
1.85
1.80
1.76
1.71
1.66

2.16
2.11
2.06
2.01
1.96
1.91
1.86
1.81
1.77
1.72

2.19
2.14
2.09
2.04
1.99
1.94
1.89
1.84
1.79
1.75

2.22
2.17
2.11
2.06
2.01
1.96
1.92
1.87
1.82
1.78

2.23
2.18
2.13
2.08
2.03
1.98
1.93
1.88
1.84
1.79

2.10
2.11
2.12
2.13
2.14
2.15
2.16
2.17
2.18
2.19

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00

0.14
0.12
0.10
0.08
0.07
0.06
0.05
0.04
0.03
0.02

0.74
0.71
0.67
0.64
0.61
0.58
0.55
0.52
0.49
0.46

1.16
1.12
1.08
1.04
1.00
0.97
0.93
0.90
0.87
0.83

1.34
1.30
1.26
1.22
1.18
1.14
1.10
1.07
1.03
1.00

1.44
1.39
1.35
1.31
1.28
1.24
1.20
1.16
1.13
1.09

1.50
1.46
1.42
1.38
1.34
1.30
1.26
1.22
1.19
1.15

1.54
1.50
1.46
1.42
1.38
1.34
1.30
1.27
1.23
1.20

1.62
1.58
1.54
1.50
1.46
1.42
1.38
1.34
1.30
1.27

1.68
1.63
1.59
1.55
1.51
1.47
1.43
1.40
1.36
1.32

1.71
1.66
1.62
1.58
1.54
1.50
1.46
1.42
1.39
1.35

1.73
1.69
1.65
1.61
1.57
1.53
1.49
1.45
1.41
1.38

1.75
1.70
1.66
1.62
1.58
1.54
1.50
1.46
1.42
1.39

2.20
2.21
2.22
2.23
2.24
2.25
2.26
2.27
2.28
2.29

0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000

0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000

0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000

0.015
0.010
0.006
0.003
0.002
0.001
0.000
0.000
0.000
0.000

0.437
0.413
0.389
0.366
0.345
0.324
0.304
0.285
0.267
0.250

0.803
0.772
0.734
0.715
0.687
0.660
0.634
0.609
0.585
0.561

0.968
0.936
0.905
0.874
0.845
0.816
0.789
0.762
0.735
0.710

1.160
1.028
0.996
0.965
0.935
0.905
0.876
0.848
0.821
0.794

1.120
1.087
1.054
1.023
0.992
0.962
0.933
0.904
0.876
0.849

1.160
1.128
1.095
1.063
1.032
1.002
0.972
0.943
0.915
0.887

1.233
1.199
1.166
1.134
1.102
1.071
1.041
1.011
0.982
0.954

1.287
1.253
1.219
1.186
1.154
1.123
1.092
1.062
1.033
1.004

1.314
1.279
1.245
1.212
1.180
1.148
1.117
1.087
1.058
1.029

1.340
1.305
1.271
1.238
1.205
1.173
1.142
1.112
1.082
1.053

1.352
1.318
1.284
1.250
1.218
1.186
1.155
1.124
1.095
1.065

3 4 5 7 10 15 20 25 30 35 50 75 100 150 200

01.Z1.9(001-104).qxd 2/17/09 2:40 PM Page 48

Page 116

(This page intentionally left blank)

00.Z1.9.fm(i-x).qxd:00.Z1.9.fm(i-x).qxd 2/17/09 2:48 PM Page x

Page 117

ASQ Logo 6 pt address.eps


T009E
Printed in the United States of America

00.Z1.9.Cover.qxd:00.Z1.9.Cover.qxd 2/17/09 2:46 PM Page iv

Similer Documents