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1、STD-JIS Z 7003-ENGL 1977 4933b08 05398LiO Li27 UDC 658.562.01 2.7 : 51 9.243 JIS 4 JAPANESE INDUSTRIAL STANDARD Single Sampling Inspection Plans having Desired Operation Characteristics by Variables (Standard Deviation Known) Translated and Published by Japanese Standards Association Printed in Japa
2、n 24 S Copyright Japanese Standards Association Provided by IHS under license with JSALicensee=IHS Employees/1111111001, User=Wing, Bernie Not for Resale, 03/12/2007 22:55:58 MDTNo reproduction or networking permitted without license from IHS -,-,- In the event of any doubt arising, the original Sta
3、ndard in Japanese is to be final authority. , 1 Copyright Japanese Standards Association Provided by IHS under license with JSALicensee=IHS Employees/1111111001, User=Wing, Bernie Not for Resale, 03/12/2007 22:55:58 MDTNo reproduction or networking permitted without license from IHS -,-,- STD-JIS Z
4、7003-ENGL 1979 4933b08 0537842 2TT UDC 658.562.012.7: 519.243 JAPANESE INDUSTRIAL STANDARD J I S Single Sampling Inspection Plans having De sired Z 9003-1979 Operation Characteristics by Variables (Standard Deviation Known) (Reaffirmed: 1989) 1. Scope This Japanese Industrial Standard specifies the
5、determination of single sampling inspection plans having desired operation characteristics which apply the case of assuring the mean value of a lot or the lot fraction defective when the lot standard deviation .is known. Remarks 1. These plans are designed so that they have inspection operation char
6、acteristics desired by producers and consumers when the standard deviation of a lot is known and the mean value of the lot or the lot fraction defective is assured. the acceptance or rejection of a lot is determined by comparing the mean value of a characteristic value of a sample taken once from th
7、e lot with the acceptance value calculated on the basis of the known standard deviation of the lot. In these plans, In application of these inspection plans, the following con- ditions shall be met: (1) The quality of inspection unit can be expressed as variables. (2) The product can be handled in t
8、he form of lots. (3) The standard deviation of a characteristic value of the lot needs to be known. (4) In the case of fraction defective, it can not be avoided that the accepted lots contain some defectives, becuase the distribution of the characteristic value is assumed to be normal and it is assu
9、red that the lot fraction de- fective is within certain limits. 2. The units and numerieal values given in in this standard are in accordance with the International System of Units (SI), and are appended for information. Applicable Standards : JIS Z 8101-Glossary of Terms Used in Quality Control JIS
10、 Z 9004-Single Sampling Inspection Plans having Desired Operating Characteristics by Variables (Standard Deviation Unknown and Single Limit Specified) JIS Z 9031-Random Sampling Methods Reference Standard : JIS Z 9001-General Rules for Sampling Inspection Procedures Copyright Japanese Standards Asso
11、ciation Provided by IHS under license with JSALicensee=IHS Employees/1111111001, User=Wing, Bernie Not for Resale, 03/12/2007 22:55:58 MDTNo reproduction or networking permitted without license from IHS -,-,- STD=JIS Z 9003-ENGL 1779 4933b08 0537843 L3b M 2 Z 9003-1979 2. Definitions and Svmbols 2.1
12、 Definitions For the purpose of this standard, the following definitions apply. With regard to other terms, refer to 2. (4) in JIS Z 8101. inspection unit inspection. A single object or a definite quantity of material to be inspection lot (hereinafter, referred to as lots) A collection of inspection
13、 units submitted to inspection. lot size N lot mean m The number of inspection units in a lot The mean value of a characteristic value x for the insDection units in a lot lot standard deviation u 2 for the inspection units in a lot The standard deviation of a characteristic m - 1 v value defective t
14、hat is, a unit whose characteristic value exceeds the upper specification limit Su. or is less than the lower specification limit SL. Any unit which does not conform to a specification requirements, Number of defectives in lot N lot fraction defective (%) sample sample size I ( P (%) = A group of in
15、spection units taken from a lot The number of inspection units in a sample sample mean 3 units in a sample The mean value of a characteristic value x of the inspection sum of squares S characteristic values and their arithmetic mean The sum of the squares of the differences between the s- (Xi -*)I +
16、 (XZ - 3 ) + (z* -3) * + . *. . . . + (Z“ -e) mean square v The sum of the squares divided by degrees of freedom mean of mean square values 7 mean of a set of valuesiy for I lots is expressed as v-,ZV , and when n is not constant, I When the sample size n is constant, the Copyright Japanese Standard
17、s Association Provided by IHS under license with JSALicensee=IHS Employees/1111111001, User=Wing, Bernie Not for Resale, 03/12/2007 22:55:58 MDTNo reproduction or networking permitted without license from IHS -,-,- STD - JIS Z 9003-ENGL 1979 m 4933b08 0539844 O72 m 3 Z 9003- 1979 where S: sum of squ
18、ares for a sample taken from each lot sampling inspection plan acceptance value for determining the acceptance or rejection of a lot A plan which specifies the sample size and the acceptance value A limit value for determining the acceptance of a lot. When lots are accepted if x is less than or equa
19、l to an acceptance value, the value is expressed as the upper acceptance value (Xu) and if greater than or equal to the acceptance value, the value is expressed as the lower acceptance value (XJ . 2.2 Symbols x : characteristic value of inspection unit N : lot size U : lot standard deviation m : lot
20、 mean ma: limit for the mea? of a lot which is expected to be accepted with a high probability ml: limit for the mean of a lot which is expected to be rejected with a high probability LW : the probability that a lot having a mean value of m will be accepted P : lot percent defective (%) po : upper l
21、imit for the percent defective of a lot which is expected to be accepted with a high probability PI: lower limit for the percent defective of a lot which is expected to be rejected with a high probability Lo) : the probability that a lot having percent defective P will be accepted a : producers risk
22、 (the probability that a lot having mean value mo or percent defective Pal will be rejected) f i : consumers risk (the probability that a lot having mean value ml or percent defective PI will be accepted) n : sample size S : sample mean SV : upper specification limit SL : lower specification limit C
23、opyright Japanese Standards Association Provided by IHS under license with JSALicensee=IHS Employees/1111111001, User=Wing, Bernie Not for Resale, 03/12/2007 22:55:58 MDTNo reproduction or networking permitted without license from IHS -,-,- 4 Z 9003-1979 Zu : upper acceptance value XL: lower accepta
24、nce value Ga: a coefficient for calculating the acceptance value used for assuring a lot mean k : a coefficient for calculating the acceptance value used for assuring a lot percent defective K p : the point giving upper probability p % of the standardized normal dis- tribution K.: the point giving u
25、pper probability a of the standardized normal distribution . ing equations are obtained. From Reference Fig. 5, the follow- U - . ( 1 ) and the sample size n are obtained by the procedures described in 5.5 (i) and 5.5 (2), and only when the value of the desired sampling inspection plans can be found
26、. 1.7, other procedures should be applied. mi” the lower limit ones. When this value is less than Here the symbols ma and m, indicate the upper limit values and m,”and (a) Designate the values mo and mo” and set the values mi amd ml”at the Points symmetrical to the centres of mo and ma“ , respective
27、ly. Hence, m - m o = m l f - m o “ Calculate ITW, -mo I U ml” in Attached Table 1, find the row including (b) In the column of U the calculated value. (c) Read off the values n and Go from the row, and calculate (d) Calculate mo-moff . If mo-mo“ 1.7 , step to the next. u1l.J; a l J i - (e) Examine t
28、he inspection cost and the like on the basis of the obtained values for n, Wu and X,. as they stand, and if not, find the new values for n, and Xu and XL again modifying the values of mo , m, , ma and ml”. If these values are appropriate, employ them Example: The basic thickness of a certain steel p
29、late is specified as 5 mm. W e find the values of n , Xu., and ;U, for such a sampling inspection plan as to accept a lot when the lot mean value of thickness falls within the range of I O. 15 mm from the basic thickness, and to reject the lot when its mean value is outside the range of f: 0.4 mm. t
30、his case, we assume the lot standard deviation 0=0.2, and set a=O. 05 and B=O. 10. rived as follows: In The desired sampling inspection plan is de- I m,-f7zo I (b) In the column of u in Attached Table 1, looking for the row including the value of 1.25, we find the fifth row from the top which indexe
31、d as 1.195 to 1.308. (cl In this row, we find n=6 and G0=0.672. Hence, we obtain the upper acceptance value Xu as and the lower acceptance value X, as u=O)+G0=5.15+0.672(0.2=4.72 Copyright Japanese Standards Association Provided by IHS under license with JSALicensee=IHS Employees/1111111001, User=Wi
32、ng, Bernie Not for Resale, 03/12/2007 22:55:58 MDTNo reproduction or networking permitted without license from IHS -,-,- STDOJIS Z 7003-ENGL 1777 4733b08 0537882 98b 41 2 9003- 1979 (d) ?tio-? , = i . 05 mm, sL=9.95 m m (a) S U - S L 10.05-9.95 =6. Hence, o- - 0.015 From Reference Table 2, the value
33、 for Po=l % is found as 6.4. Then, step to the next. Find the block n = 8 , k=l.74 where the row 0.901 to 1.12 (%)I including PoI=l % i and the column 9.01 to 11.2 %I including Pi=lO % intersect. In this block, we obtain n = 8 , and k=1.74. The upper acceptance value Xu is u=Su-k=10.05-1.74XO. 015=1
34、0.024 and the lower acceptance value XL is Reference Table 2. Table Indicating Conditions for Determining Sampling Inspection Plans Based on pp and pi , When Upper and Lower Specification Limits Are Given (u=o.os, 8=0.10) Po (%I o. 1 o. 15 o. 2 O. 3 O. 5 O. 7 1. O 1.5 2. o 3. o 5. o 7. o 10. o 15. O
35、 Su-& U 7.9 7.7 7.5 7.2 6.9 6.6 6.4 6. O 5.8 5.5 5. o 4.7 4.3 3. a Copyright Japanese Standards Association Provided by IHS under license with JSALicensee=IHS Employees/1111111001, User=Wing, Bernie Not for Resale, 03/12/2007 22:55:58 MDTNo reproduction or networking permitted without license from I
36、HS -,-,- STD-JIS Z 9003-ENGL It777 9733b08 0537884 757 W 43 Z 9003-1979 t C a, a E (d m r( Copyright Japanese Standards Association Provided by IHS under license with JSALicensee=IHS Employees/1111111001, User=Wing, Bernie Not for Resale, 03/12/2007 22:55:58 MDTNo reproduction or networking permitte
37、d without license from IHS -,-,- STD=JIS Z 7003-ENGL 1777 i733b08 0537885 b75 44. Z 9003-1979 b i .FI cr a u ed Y a, r( E a i k : p : po : upper limit of percent defective of lot accepted at high probability Pl : lower limit of percent defective of lot rejected at high probability coefficient for ca
38、lculating acceptance value lot percent defective (%) at probability of acceptance O. 5 Copyright Japanese Standards Association Provided by IHS under license with JSALicensee=IHS Employees/1111111001, User=Wing, Bernie Not for Resale, 03/12/2007 22:55:58 MDTNo reproduction or networking permitted wi
39、thout license from IHS -,-,- Z 9003-1979 Edition 2 Japanese Text Established by Minister of International Trade and Industry Date of Estabiishment: 1954-01-30 Date of Revision: 1979-05-01 Date of Reaffirmation: 1989-02-01 Date of Public Notice in Official Gazette: 1989-02-08 Investigated by: Japanes
40、e Industrial Standards Committee Divisional Council on Basic Items Technical Committee on Sampling Inspections This English translation is published by : Japanese Standards Association 1-24, Akasaka 4, Minato-ku, Tokyo 107 Japan O JSA, 1987 hinted in Tokyo by Hohbunsha Co., Ltd. Copyright Japanese Standards Association Provided by IHS under license with JSALicensee=IHS Employees/1111111001, User=Wing, Bernie Not for Resale, 03/12/2007 22:55:58 MDTNo reproduction or networking permitted without license from IHS -,-,-