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MIL-STD-414

11 blvs7

MILITARY STANDARD

SAMbLING PROCEDURES AND

-

~M

ORfkMOO$-10

TABLES

FOR INSPECTION BY VARIABLES

FOR PERCENT DEFECTIVE

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—- _

.— .—

mL-sTD-414

11 J EW 1957

OFFICS

OF TEE ~ANT SECRETARY OF DE~

Wuhlngkm $5, D. c.

S up ply a nd Lo gi. t i..

1 1

JUIU lb7

Sa rn p fln g Procedu r e s an d Table . fo r fa .p . c t lo . by

Va r l.bl.. fo r Pe=c en t

Ddectlva

MIL-STD-414

1 . Th i. .t an d a rd h .. ~en app roved by t h e De P ru ’n e .t o f De fen se

an d i. m an da t o ry fo r . . . by t h e Depa r t m . rAt o of t h e Arm y, t h e Navy . an d

t h e M. for ce , fe c t ivm 1 1 J un e 1 9 5 7 .

2 . h

ccord an c e rn t h e . t a bli.be d p roc .du r ., t h e Sfa n da rd i. . t icm

Diwl. im k .. d -.ifp . t .d t h a Ch em ica l

-Carp.

Bu re au of Ordn an c e . -d

Air For .. , r .. p . t i .. ly , . . Am p N.v-Air For .. c u s t od ian . .1 t h i.

. t a nd a rd .

>. Re com m en ded cor rec t ion . . s dd lt len n , o r d e le t ion . .h ou ld be

dd r . . . .d t o t h e St a n brd i. a t io r . Divi. iom , Of fic . o f t h e As . im ta .t Se c .. .

a a r y of De f.a .e (Su@y an d Logis t ic .), Wa .h in @an Z5 . D. C.

I l .

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-- .,-...,--

..

UJlvl-hn- ls

INTRODUCTION . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . . . . . . .

SECTION A

GENERAL

D&9tiRIPT30N OF

t ibfPL3 t 4G PL. J S . . . . .

Tab le, :

Table A-1 U3LCon ve ra ion Table . . . . . . . . . . . . . . .

Table A-2 Sam p le Size Code t iNe r s . . . . . . . . . . . . . .

Table A-3

Opera t i ng Char.c t er i* t ie Curve. 10. Sampf iq

Plm m of S.c t iOa B, C, an d D (Graph - for

San @. Sis e t ie Le t t e r s B t hough Q) . .

SECTION

B

VAR3ABIL1TY UN3U40WK-STANDARD

DEV~TION METHOD

Par: J SINGLE SPECIFICATION LIMIT . . . . . . . . . . . . . .

Ex8 m pl. *:

Exam p le B- I

Exam ple B-2

Table. :

Tr eble E.- I

Table B-Z

Exam ple of Cdca fa t to iw:, S im gle

sPec iflca t iOn fAm il-Fo rm 1 . . . . . . . . . . .

Exam ple of Ca lcu la t ion s: Sin ~le

Sp*c ific a t ie a Lt m it -l%rm 2 . . . . . . . . . . .

M..t e r Tabie for Norm a l n d Tigh t eo ed

3 n m pec t i0 n (Form l-Sin n le fAm it ) . . . . .

Maa t e r Table for Redu eed im pec t ion

(sOr rn l-s in gl. LiJ n ii) . . . . . . . . . . . . . .

Pa r t H

DOUBLE SPECIFICATION Uh UT . . . . . . . . . . , .

Examp lea :

Exam ple B-3

Exa rn @e B-4

T, b lem:

Table B- 3

Table B-4

Table B-5

t iam ple of Cdc rda t iom m : Double Spec ifi .

c 8 t ioa LAn it -Ck e AQL va i.4 fa r Upper

an d Lawe r Spec ific a t ion Lim it Com bin ed

Exam ple o f Ca lcu la t in na : Double Spec ifi-

c a t ion Um it -DIffe r em AC3L va lu e s for

Uppe r su d

fmwer

Spec ific a t ion Um it m .

Mm m t e r Ta ble

fo r

Normal

n d Tigh t en e d

Im pec t i .n (Double Lim it an d f%rm 2 -

si I l le LiIni f ) . . . . . . . . . . . . . . . . . .

Mss ie r Table fo r R=du ced fa sp ec t iom

(Dou ble LIm it mn d Form Z-Sin gle Lim it )

Table for

3SatimatiaE

t h e Lot P. r c en t

De fe c t ive . . . . . . . . . . . . . . . . . . . . .

. . .

. . .

. . .

. . .

. . .

Pa r t f3 J

EST1MATION OF PROCESS AVZSAGE AND

C3UTE- FOR RZDUCEL AND TIGHTENED

INSPECTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Table , :

Table B-6

Table B-?

Table L-8

APP=dk B . . . . . .

Va lu e . o f T for Tigbt en ad k p 8 c t i0 1 1 . . . . . .

~t s of Es t im a t ed k ; P.r c en t

De fe c t ive fa r Rodu c=d In spec t ion . . . . . . . .

Va lu e . o f F for h 4 a s im um St an da rd

Devia fio a .[MBD) . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

‘iii

Esu

“ii

1

:

5

3 5

3 7

3 8

3 9

4 0

4 1

4 3

4 4

4 5

4 6

4 7

5 ? .

5 4

5 6

5 8

5 9

. . . . ..-


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comzNls-cOfmffwd

P*T5

u DOUBLE 5PECfF1CAT10N LlhffT . . . . . . . . . . . . .

3hampfe*:

3 k Am pfe D-3 Es am pk a f Cdc t d a t ion w Double SpecUi-

c a t ion L6 m it -Oa* AOL vah m UpPa r an d

fm we r Spe c ific a t ion . fAm it Com birm d . . . . .

Exu n p le D-4 Em m p le

of

.Ca lc u la t iom s: Dou ble +pecUi -

c -t ion L6m it -D3 ffe r e u t AOL va lu e - fo r

UpVr d kwe r Spec ifica t ion

Limits . . . .

Tables :

Table D-3

Mas t e r T*le fo r Norm al a n d Tigh t en ed

fn . p e c t im (Dou ble Lim it an d Form Z-

Simgleumlt) . . . . . . . . . . . . . . . . . . . . .

T.bla D-4

Master

T&ble fo r Redu ced 3 nop .c t iom

[Oou bk Lim it . .d Form Z-Sin gle Lim it ) . . . .

T.ble D-5 T-ble fo r Es t im a t in g t h e fa t Pe rc en t age

De fe c t ive . . . . . . . . . . . . . . . . . . . . . . . .

P*r t Ul

SST1MATION OF PROCB AVESAG C AND

CSJ T&R3A FOR REDUCED AND TIGHTENED

INSPECTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Tsble :

Table D-6 Va lu e . o f T fo r Tigh t en ed fr t . p e c t ion . . . . . .

Table D-7 Lim it - o f Ec t in u t od IAX Per cen t

De fe c t ive fo r Redu c ed h m pec fiom . . . . . . . .

APP* 6 D........ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

-

9 5

9 7

9 8

9 9

1 0 1

1 0 3

1 0 4

1 0 6

1 0 8

1 1 0


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mlL-8’m-414

llhfislm?

INTRODUCTION

Th i. St am dardwa . p repm red t o m ee t growin g IIeeo fo r t be U. o f s t an da rd

u ’n p liq p t m m for J am pec t ion by va r i*ble . in t i~r n m a t n p rocu rem en t , DIIpp ly

an d .t orage , an d m a in t en an ce ia .p c iion opa r a t iozm . Tbe va r ia bf. . sam pJ &s

p lan e .pp ly t o n @e qu a lit y ch a ra c t e r is t ic wh ich can be rn e a .t irm d on c o a t t n -

t m .. s ca le , an d for wh ich qua lit y i.

xpr e s s ed in t e rm . cd pe rcen t d e fe c t iu e . Th e

t h eory u n c le r lyin g t h e deve lop rn e .t o f t h e war i.bt e . .an ip lim ~ p lau a , in c lu d in g t h e

opa ra t iq c h a ra c t =r im tic c u rve .. a .awn e . t h a t rn ea .u rem .m t. of t ba qu a t t t y ch a r .

c te r i s t i c re in depen den t, id en t ic s lfy d i.t ribu fed n orm al ran dom var isblea .

1 . com pa r ium wit h a t fr ibu t a .

..mpfing pfmn.,

war lah e s u m p fia g p lam m

h ave t be dvan t a~e of um mfly r em dt in ~ & cm m ide rsble .avin em in am ple -

fo r .xm n pa rabl. a . .u r u ic e . . t o t h e cor rec t n es s . of d ec is ion . in ju dgin g . . in le

qua lit y ch a rac t e r is t ic , or fo r t h e .a rn e sam ple s ize . gr ea t e r a .m ir an ce is ob-

t a in ed u s in g va r ia ble , p lan ..

At t r ibu t e . s am plin g p fan . h a ve t h e advan t a ge of

grea t e r s im plic it y , o f be in g app lic able t o e it h e r .in gle or rn u t t ip le qu a lit y ch a r -

ac t e r is t i c . , an d of requ ir in g n o k n owledge abou t t h e d is t r ibu t ion of t h e con t lau eu .

rn . a .u r. rm en c.

of any d t he

qu alit y c fu r. t xe ridc ..

It 1 0 im por fsm t t o m ot . t fu t va r ia ble . .am p t fm p ph a .

rm m ot t o be um .d

i.d i. c r irn in a t . ly , , im pfy bec .u .e . it i. p o ..ible t o obf.in vaxi.bk . t n ea .u ra r n em t

,d a t a . fn con m lde rq app fie a t lon . wh e re t h e rm rm at it y or ir t d e~n de .ce

. smnp -

t ion . m ay be qu e .t icm cd , t h e u se r i. dvi.e d t o cm -..u lt h i. t e ch n ica l agen cy

to

de t ci-rh in . t he fe . . ib ilit y of a pp fi ca lion .

Th i8 Sra n da rd 1 . d ivid ed in t o fou r .e c t im m . Sec t ion A desc r ibe . @n . ra t

p roc t t lu r . a o f t h e .am plim g p la n . . Se c fic .m . B u t d C de .c r ib . .Pc ifi. p roc edu r e .

an d pp lic a t ion . of t h e .a rn p Iin g p lan . wh en w.=ia bilit y i. u n k n ovr . , In Sec t ion B

t h e .s t ir n .t e

of

lo t .%an d . r d d .vi. t ion i. u s ed .s lh . fn . i. 1 0 . an

.timat. of t h e

u n k n c .w. va r iabilit y , an d in Se c t ion C t h e ave r age ram s . of t h e su n p f. 1 * u sed .

Sec t ion D de sc=ibes t h e p lan . wh en va r ia bilit y is k n own .

Each

of Sec t iono B. C,

an d D i. d ivid e d in t o fbr ee p a r t .: (l) SAMPJ IIW PIUM

for t h e Sin gle S~c ifieu iom Lim it Ca .e , 1 1 1 )Sam pfim g Plan s for t h . m ubl. Spc -

ific . t ion Lim it Case , an d (3 J J )Procedu re . J orEs t h n a t ion cd Proce .. Ave ra ge an d

Cr it e r ia fe r Tigh m n ed r id Redu ced J a . p ec t ion .

For t ba

n gle s ~c ific at io n

lim it ca . e , Lh e

ccep t a bilit y t r it e r io . i . giv=n im t wo foran .: Form 1 am d Form Z.

Eit h e r o f t h e fon n c m ay be u .ed ,

i -i ci t h e y rc id e t t t ic t i a . t o .a in p le s is e -d

de c i ion fo r lot c cep t abilit y or re je e t a bilify . III d ec id in g wh e t h e r w u .= Form 1

or FQrrn Z, t h e followin ~ po iDt . sh ou ld be bo=n . in m in d . Form I p rovide . t h e lot

ccep t abilit y c r i~. r ion wit hou t t it n .t ir t g 1 0 I p e rcen t d e fe c t ive . Th e Form 2 1 0 1

acc ep t abilit y c r it er ion r equ ire . em t irn at es of J ot pe rcen t d e fec t ive . Th em e e li -

m a t e . a t .o .r . ~qu im d for e s t izn a t bn of t h a p roea

a ve rage .

Ope r a t in g Ch a rac t e r is t ic Cu rve . fn Table A-3 h ow fh e r=la t ioa .ft ip be t weem

qu a lit y an d pe rcen t o f lot . expe c t e d t o be c ce~able for

the

q u a li t y c b ar a c t a ri .t i c

in m ~e t .d . A. s t a t ed , t h e . e Ope r a t in g Ch a rac fe r i ‘t ic Cu r -. a re &sed 0 1 1t be

.. u rn pia r i t ha t m eam . m m en t. re .ek c t ed a t ra adan alrom a c io rsn ti d is t ribu t ion .

Th e corre s p end i ng u n p fin ~ p la n . in Sec t iW. S, C. ~d D w. m m st cbed

. c los e ly ., p o.. ib le ~de r

.y . t em Of f ix ed .unpfe .Ise wit h re . pcc t t o t h e ir

Opc ra lin g Ch a rac t e r is t ic Cu ? we s . O~raUn g Ch s ra c t e r is t jc Cum . in T.bf. A-3

h ..= be en com pu t ed for t h e .m plin g

p]an.

b. .. d or j t h . . .t im a t e o f lo f .t u d a rd

devia t ion e f u n kn own ..r i.bilit y , Th y a re equ lly .pp lie .ble ior .a r n p lln s p lan .

h oed on t h . ave raga r an ge of the .awIp I. o f u n fm own va r iabilit y an d t hem e bam .d

o n k n own va ria bUit y .

C.r t a im c ln ..cm r i. :ic . con ce rn in g t h e su n p liag ph m . in S. .t iom . B am d C

-d t bosa la S9 c t ion D dwu fd b, m ou d . Pk n . baa .d on fba m t im a& ot u mk =0 9m

War ia blllt y re qu ire fe~r .M@e wit . fo r cm ~ra~e . ..”ra n ca -ba a t b

d.

Mate

of lcM .t aad a rd t iwl.s i~ i. “. .d t h an _bg. ib .~..a e ru a~. d ffn .-+

in u .ed : on fh e o t t wr t id , p lan . Vsbg t h e .W~.gG r~ge of t h e AM@. r .qu ira

VII

-—


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mb61v—414

11 J une 19s7

m ph r com puu t t m m . Pla rm um ln n bm =va r iabllt t y -qu t re con *l&rablT f-r

s am p le t m k fa r com wrabk am UJ rMC* t ba I ich =r o f t h e p la n s whw =TIabt u t y

1 s u ak am : @we we r ,

tba

roqu ir=m w.t of k um II -rk biUt y Is t n s en t am .

Th e u se r 1 s . dvis e d t o co .m ilt MS t ec t a lca l~u c~ bdom WPIYLW cun p t ia j

p ia no U.t n g bDOwa w8 rIAbu uy.

Ta t h B-8 p rovids va lu e s o f t be f~c t o r F t o com pu t e t fia m axfm um s t an da rd

dewia t ion h fsD. Th e h fSD se -s M ~u id e fo r t h e m agn it ud e of t h t e a t ir n a t e o f

lot s t an da rd de -s c ion wh en u -in Plazm for t bm dou ble s p c ff ica t ion lim it c --e ,

ba sed on t h e in t im at e o f lot . t a a~rd devia t ion of u n .bn - .a r im tdUt y . Sim ifAr ly

Table C-8 p rovid es vm lu e - of t h e Iac t o r f t o c om ~t e t h e m axim um ave r age ran ge

MAR. Th e MAR or .ew m a g de fo r t be m agn it u d e of

the

ave rage ruige of t h e

“k e do .bfe .p ec ific .t ia . lim it . . . . . ba .ed . . t h e

n p le wk . u s in p la nm for t

a ve r age range

of the cunple of unbam w ar iddl i t y . Tba edmate

of lo t tmd a r d

devia t ion or ve r age ran ge of t h e

m pk , U it is Iem t h m t h e h fSD or MAR.r e .

=c t ive ly . h s lps *O im mu re . bu t doe . m ot gu a rm t .e , lo t accep t . bfllt y.

AU

ymbols and t h e ir d efin it io n . re gim n III t h a a -ix t o P a r t J U cd t h e

a pp lic able *c t im .

h Ulum t ra t im of t h e com ~t iom an d p roc .du rm a .~ed IIJ

t h e .un p lin g p lan s i. give . i. t h e

n m p lec u f Pa r t - I an d 1 1

of t be spplk able

.ec t ion .

Th e com p ut at hm m irwolve s im ple r it hm et ic ope ra t ion . su ch am .dd it in a,

u bt ra c t io”. m ult ip lic u ion , &d d Ivim ion of m wn bera , or

m ost , t h e t a k in g of

.qu a re root o f

n um be r . Th e u se r sh ou ld becom e fu n ilia rwit h t h e g.n e ra l p ro -

cedu re . of Sec t ia n A. an d r e fe r t o sh e pp lica ble se c t ioa fo r de t ailed iawt ru ct iom

rega rd ing pcc ific p rocedu re .. c orn pu . ion s . m d t able s fo r [h e Barn p lia g p lan ..


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~14

11 Jmfe 14s7

...

SECTION A

GENERAL DESCRIPTION OF SAMPLING PLANS

Al. SCOPE

All Pu r

+’

Th i 8 Sam m krd =s t ablim h es

m mp ln n g P anm an d p rocedu re s for in opec -

t icm by va r iable

fo r use in Government

P*.c . rem e.t . s .pp fyu ad s t ora~., and rnAJl-

tetts.cc inspect ion op8 ra t i0 r Im . wh en .pp li -

c abfe t h is St an d a rd h a ll. be re fe r en ced in

t he spec ific a t ion , con t rzc t , o r in 8pcc t ie n in -

. t ru c t ic .r . m ,

an d t h e p rovis ion , se t fo r t h

h e re in s h a ll ovem .

Al. ? III*PC

c t ion . lnm pec lion i. t iw p ro . . . .

o f m ea su r , n s .

xam in in g. t es t in g. gagin g. 0 .

o t h e rwise com pa r in g t h e “u n it o f p rodu c t ”

(See Al .4 ) wit h t he ap pk abfe requ ir em em la .

AI.3 ln s pcc t i- by Var iable s . Inspect ion by

va r iable s i . in spe c t ion wh ere in r+ spec ifie d

qu a lit y ch a ra c t e -r i. t ic (Se e AI.5 ) on a u n it

o f p roeu c t i . m ea su red on . con t in u ou s

.c a le . .u . h . pou n d -. iwh eo, fe e t p e r s e c -

on d , e t c ., An d rn eam trem e . t is r e cu rd . d .

A1 .4 Un it o f Produ c t . Th e u n it o f p rodu c t

i . t h e en t it y o f p rod u c t in .xc t ed in orde r

t o dew r rn in e it ; m ea su rable qu a lit y ch a r -

c t e r is t ic . Th im m ay be a s in gle a r t ic le , a

pa ir . a

e t .

com pon en t of an en d p rodu c t ,

or t h e en d p rodu c t it s e lf. Th e u n il o f p rod -

u c t m ay or m ay K.t be t h e su n e

s t h e u n it

o f pu rch am e,

su pp ly , p rodu c t ion , or

t h i pme r . t .

A 1 .5 Qu a lit y Ch ara c t e r is t ic . Th e qu a lit y

ch a rac t . r ia t ic fo r va rxable e in . p e c t i4 n is

t h a t ch a ra c t e r is t ic e f i u n it o f p ,odu c t t h a t

is a c t u a lly m .a . u zed , t o d e t e rm im con for -

m an ce wit h give n r eq uir em e n t .

A1. b Spec ific a t icm Lim it . . Th e pecl f lca-

t ion Iim t t(e )

is t h e r equ i r e rn cn t t h a t

qu a lit y ch ara c le r i. t ic .h ou ld m ee t . Th i*

req .~rem en t m ay be exp ren m d n . u ppe r

p r c~f ic a t ion lim it ; o r 6 lower pac ific a t ion

lim it , c a lle d h e re in

. in ~le s pe cific at io n

lim it ; or bo lh u ppe r an d lower .~c ifie a t iem

lim it . , c a lled h e re in a dou ble ~cif icmion

l imi t .

A 1 .7 Sam p li.~ Plan s . A s am p lin g p fan 1 .

a PrOCedUr* *h *c h

pec iiie s t h e rm xn be r c .<

un i ts o f p rod u c t from lo t wh ic h r e t o h

it m pec t ed , a r id t h . c r i l. r ion Xor a e c ep fabil -

it y o f t h e lo t . Sam p lin g p fa zm de s ip a t ed in

t h i. St an da rd a re

pp lic able t o t he in sPc -

t fon of ch gfs qu a lit y cba ra c t e r i-fk e of a

unitof p rodu c t . Tfm se p fwm m ay be u s ed

wh e t h er p ra cu rem rm l in spec t ion i.

per.

km ’rm d a t t h e p lan t o f p rim e c oa tr ac t? r .

wbcon t r ac t or or ven dor . o r t d e st in a t io n ,

-d -S90 may be u aod wh en AppTOPrU1 O in

ppfy and s to ra ge . an d m a in fa na ac e fL1 8pe c-

t i on o fm r at t om .

A3 . CLASSIPTCAITO? f OF DEFECTS

AZ. I Mt t h odof Cia8 s ifr in g~fe c t @. As f8m -

. ific a t , c .n a l d e fe c t - . . t h e rm in e ra t io . o f

de fe c t . o f t h e u n it o f p rodu c t c la a s ifi. d

ac cord in g t o t h e ir irn p or fa a c e . A d e fe c t 1 9

devia t ion of t h e u n it of p rodu ct fr -a m , r e -

qu ir em en t . o f t he spec ific a t ion s; d rawiags ,

Pu rch a .e da~c r ip fia ”. , a n d aay cbu~c

t h e r e t o in t h e con t r ac t or

order.

Defec t s

n orm a lly be lon g t o on e o f fh e fOllO*g

c la s se s ; h owever . d e fe c t s m ay be p lk ced k

ot h er c iao . cs .

AZ. 1 .1 Cr it ic a l De fe e t o . A c r it ic a f de fe c t

i. .“ . t h a t iu d em e. t an d axm rien ce in d ic a t e

cou le r e eu lt ;. . h a za rdou . “or u n s s fe con d i-

t ion s for in d ivid u a l. u . in g or m .im ain in g

t h e p rodu c t ; or , fo rm ajn r en d it . r n 9 u n it ~of

p rodu c t , su ch a . sh ip s , aircraft, or famba.

d .f. c t t h a t cou ld p reven t fm r for rn a a co of

their t ac t ic -i fu m ct ion .

A2 . I.2 Ma jor De fe c t s . A m a jor de fe c t i8 a

de fe c t . o t he r t h an c r it ic a l, t ha f cou t d re s u lt

in fa ilu r e , o rm at er it lly r edu ce t he u s abilit y

of t he u n it o f p rod u c t for it s in ten ded fm rp obe .

A2. I .3 Minor Defec t s . A m in or de fe c t is

on . t h a t doc n not mater i a l l y reduce t h e u sa -

bili t y of t h e u n it o f p rod u c t fo r it m in t em &d

Pu rpo sa . o r i- d ep r fu rc from s t ab l i s lmd

a t an d ard 9 h a t in g .0 s ign Ui CUIt bOa C in I OrI

t h e e ffe c t ive u .e or ope ra t ion of t h@ un it .

A3 .

PERCENT DE

FECTTVE

A’3 .1 =.PT89 .8 8 . Of NO. CMt fO_

co . Tt i

e$ fcn t of nonconformance of p ro

du es 9 fn ff

be exp re -s cd i. t e rm s of pe rcen t &fae t ive .

A3 .Z Pe rcen t f%.fe e t iwe . Tbe pe rc en t d .-

fec t iv-.~ac t er im t ic of I i%.

lox of p rodv;t ”i. t h ~ n um be r of u n it . o f p rad -

u c t de fe c t iwe for t ha t c fu ra c t c r i. t ic d ivid ed

by t h e t a t a f n um be r o f u n it m o f p rodu c t An d

m ult id im d by on . h un dred . Exp re ss ed

m an

.aua t i o rx Percen: rk fe c t iv8 -

Num be r of Ae fe c t ive a x 1 0 0

Num bs r o f d t m


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.—. — . . .

Mk+m +la

lx Jlfffe 1957

Ad. ACCEPTABLE QUALITT LEVEL

A4 . 1 Acc e@abZc Ou a iil

bwl. Tba =-

a CBOm ln af

value xp r*s .e .i in fa rm . o f p e rc aa t d8 f*c -

t ive .Pc if ie d for

s bigle qu Uit y c ha ra ct er -

ia t ic . Gr t a in n um e r ied va ft ws o; AOL

r=~im g f

ram

.0 4 t o 1S.0 0 pa rce .n t am

hO-a

i. Table A- 1 . Wh e . . ran - of AOL VUW-

i. .p e c ifie d . it d u ll h e t rea t ed s if it wore

equ a l t o t he WdUC of AQL for wh ich

mfa2 i 0 c

p lms re lu -wh ed an d wh ich i~ bc lu ded

wit h in t h e AOL ran ge . Wh en t h e •~c~t e d

AOL i- a pa r t icu la r va lu e ot h e r t b& t ivm e

for wh ich oam plh g p fan m r e fu rn ich ed , t he

AOL, wh ich i- t o be u sed in

pP2 yih g t he

yovi.ion s o f t h is St an da rd , .It afl be ., .h o~

m Table A- 1 .

A4 .2 Spec ify in g AOL1 c . Tin pa r t icu la r AOL

vafu e le be u sed

fo r n gle qu alit y ch ar -

c t a r im tic o f a given p rodu c t m us t be pe e -

ified . fn t h e CM. of a dou ble

Pc i f i . a thm

l imi t . it h . r an AOL va lu e it PcUied fo r

t h e t ot a l p e rc en t d e fec t i.. m u a id a of ba t h

u p~r -d lower spe c ifica t ion Um it a , o . t -e

AOL va lu e . a re sp ec ified . om . fo r t h e

upper

l im i t

an d an ot h e r fo r t h e lower Ifm it .

AS. SUBJ bflmAL OF PRODUCT

A5 . I la t . Th e t s r rn ,,1 ov h a ll n m m n ,vir t -

cp ec t i~lo t , -’ i.e ., a co llec t ion

of

u n it . o f

p rodu c t fr om wh ich s am ple is d r am ad

in ope c~t d t o d e t e rm ”m e com plh rm e wit h fh e

a cc ep t ab ilit y c rit e rio n .

A5 . 1 .1 Form a t ion of Lot s . Each la ; sh a ll,

s fa r m la p r ac t ica ble , con .iwt o f un it . cd

p rodu c t of .in gla t ype , gssd e , ~Ass , s ize ,

or corn po. it k n m an u fac t u re d u n de r e .. e n -

r i.Ily t he sam e con dit im it .

A5 .2 Lot Sis e . Th e lot im 1 . t h a n um be r

of u n it . d p rodu c t in lo t , an d m ay d iffe r

f r em the quant i t y

de .i r.a t md h fbs com t rae t

or o rd e r a , lo t fo r p ro d”c tla r. ,

b ip rne l l t .

or Et he r Pu rpo .. ,.

A6 . LOT ACCEP TABILITY

A6 . I Acce Sabfiit y Cr ife r ien . Th e

cca@-

bilit y o f a lot o f material

i kn i t id br

imapc:kta ddf be de t en n h .d byum of ~

of t h e .am plin g p la it . a . .oe ia f.d~t b. .pec -

ffie d va lu e

of t he

AOL{S). Tbi. St an da rd

p rovid e 8 am pliag p la a . baa ad om baowa 4

b- va r ia bilit y . fn t h e Ia t fa r can

t wo a ffa m at ivo m et +,

m provit id , -

ba red on t h e e t fma i a

of

im fa t t da rd d ov i.

a t ioa and

the die r on lb am rqe

ran ge of

t h e t -fa t e . Th ese .r . r . f. r r e d t o . . t h e

s t an da rd dowia t io . m e t h od an d t be rinse

m et h od . For t h a case of a s in gle cp ee ifie a -

t ia t l u n lit , lb ac c .p t a biu ~ c r it e r ion I-

A6 .2 Ch oice of Sa rn fAim Pla in . Su n pUaB

~D u d PIWCEOU-9 a :e p ro -d ad in d8C -

t ion B if Var idd lit y 1 0 u abn own am d t h e

. t a ad am f de r f.u ion m a t h d is m wd, h Soc -

t icm C U va r iabilit y i wu nbaewn a? id t he r an ge

m at bod i c u ced . an d in Sec fioa D if .a r iabUit y

is bn own . Urdesa ot krwi.e

pc ffied , u n .

b-n va r ia biUt y, d=rd dewia fim m et h od

u n F4 1 r t d p lan s . an d t h e ceef=ablfifv crl -

terbr. d Farm 2 (fo r t h e 9 ic @e sp ec ific at io n

iim it c a se ) Aa if be u sed .

A7 . SAMPLE SELECTION

A7. I Det e rm in a t ion of Sam p le Sis e . Th e

.Un p l. ., - h , t h a m m’lfmr of u n t t m o f prod -

u c t d rawn frc an

lo t . Re t a t i~ sam ph a Iws

m Aes im a t ed by cu t e le t t e r s . Th e

8ampf4

s is e cod= Ie t te r“d epc it ds on

the.inq=ticm

le .ve : an d t h e lot

1=4 . Th ere

m

f iva h-

• f=c t iOale=J~: L U. fU. IV. -d v. f f~e-~

o t h e rwh e pec ffiod Ia -fm ct ien Ieva l IV sh ali

k u sed . Th e

u n p le .i.e cod . le t t e r app li-

cable t o t h e .p c ifi.d iz i.p ec t im l.we l a r id

fo r lo t s of given s is e .h d l be obt a in e d fr om

Ta ble A-2 .

NOTICE-5P. c ia l Rese rva t icm for

Cr it ic a l Ch ara ck rn B1 ic 8 . Tbe Go.e r rm ’i.n t

r e . e .vo. t be

rm hl t o in

sm c t em ryu n it m b-

m k kd h y t h e ;u pp fie r fos c r it ie t i e t ir .c -

t e r imko , uad to re jec t t h e rem ain de r o f t h e

lo t Immed la fe ly a ft e r

defec t is

fou ud . Tbo

GOvem irn en t t im o rc r :r vee t h t r igh t t o am -

p fe fo~ c rit icm f

d. f.c t c evm r y

le t au bm it t ad

by t k

u ppUer a r id t o r e jec t an y I-* if A

sam p le dr .wm t h rnre fr~ is fo -d t o

con ta in

ow or more.

c r it ic t i d a fec t s.

A7 .2 Dr .wim B of Sam ple s . A sam ple 1 0 om .

or m e re u n it . o l p roduc t d rawn from . lo t .

Un It c o f t t n m un fdo Aa2 i be , ,a l~c t ,d wit h -

O* re ard t o

t?bdr

q.safi ty .

Proe . du re fo r 8 t Lm a t fm g 2 2 n p r ee om m

awrage @ cr it e r ia for t icbt an ed an d re -

dweed in . fm c ft a n ba red = t h Um pac t h n

rom iit o o f pm eed in c lot s a re p rovid ed in

Pa r t u f

of

dac t iorm B. C. an d D.

AS. SPECIAL PVOCEOURE POR APPLI-

CATION .F

MIXED VARIABLBS-

AlTT21BLfTES BA?APLJ NG PLANS

8


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lu prwid=d for t in Miad w8*bl9D-

t r lbcuaa -Wunpumg phm m bon 1 8 ad t h a t

tbOM h ,T=t ih A-S a - z-t W dk.]

Condlt lon A. Amptm wwI&mc. oximta

W t bm produ c t cubm it t od fo r

iaapctioa IS

m hc t od by Ch Up fli, Z t O m ea t t fM ,IWXiZ

Ik a t lan lt m it (s ) by c reem ln g p roee m

f r m n Ia rae r qu s .m tit y of p roduc t wh ich 1 .

n ot be in g produ ced wlt bln t ba ,Pc lfica t ion

Ilmlt(al.

Codlt iaQ B. Ot h e r con d lt iorm ads t

tbt

warrant tb=

u , . o f a .a r lablac -

m t t ribu t em • ar a~i4 is *-.

A9 .2 De fin it io n..

A9 .Z. 1 in .pac t lom by At t r lbu t 8s . fn sp ec t ioa

by t ribu te . I* in wpec t koa wbardc.

tba unit

of p roduc t is Ch sd fied s im ply m defec t ive

or m an dc fec t iwe wit h reap ac t t o a given re -

qt iir e .m om 07 s .t o f n qu t rnm en tm .

A9 .Z.Z Min d Var iabla -Attr ib* ln m P 8 c -

t i o n .

t in nd va r im h le

-a t t ribu t es in m p8 ct io n

~m gpcc t ion of

arnfie by

stt

i bu ta

. in

dd it ion t o in sp ec t ion by va r iable . m m lready

m ad . of previo.a unp le , before . de-

e k i,on .ao ~o.,*: ca~qs i iv.o r . *I- c -bili~ ~

M ct ih m t ie . ‘. ‘-

A9 .3 Se le ct io n of Sam p lir t c Plan s . Th e

m iaad *a r lable . . a t t Yi - S -p lm g p lan

s t a ll h

e lec t ed in UCOdUICe wit h t h n

fcdlovim~

A9 .3 .1 Se lec t t h e vs r lableo vn p liag p lm

M ccordu aca wit h Sec t ion

B, C, O, b.

A

lot

mcdm

Ui* ccef%abi

m e of

the fo uo ’wln ’ Com t it ie m . i. .*tL.fic. .

Camdltkm A. 7 bo lot com ~i4 s wit h

t tn app rsp rm ta va r ia b1 4 cca*bllIt y cr l -

terlm of section

B, C. or D.

Caa6itLm

B. Th e Is t cm IPU*s +t b

t be ccep t abif it y c r it a r km of pragrapb

11.1.2 of bAIL-sTD- 05 .

A9 .4 . 1 U Cond it ion A ia n ot a t ie fie d, p ro.

coed ir i a ccord an ce wit h t k

t t t i bu t e

oM’l -

p lir ig p lan t o m ee t Con d it ion B.

A9 .4 .2 lf Con d it ion B ia n ot ca t i;lied , t h e

lot doe n ot m ee t t he 8 cc epabilicy c r lt e r ian .

A9 .5 Se=r lt Y of Iaaopae t ion . Th e p roce -

du re s fo r .ever i ty f m .p ec t i.m re l=rred to

in ~ra r raph A8 are net

ppfic sbl. fo r

m ixed Vazia ble . .a t t r ibum . in m~c t ion .

NOTICE- Wh en Go ue rr m te m t d ra win ..

SPed fiCa t iOm n , or ot hc .r d a t a re u .e4 t a r

UIY prm me ot h e r t h an In con n ec t ion wlt b a

de fin it ely re lam d Gove rn men t p rocu rem en t

opa ra t loa . t h m Lbit .d St a t e s Gow rru n en t

t be=aby im zu r , n o re . pm . ibilit y or m y ob-

liga t ion wbt coevc r ; an d t h e fac t t h a t t h e

Co.e rn nt ezt t m ay h ave form .la t d. f.r n im bed .

or In u Iy way

pp lied t h e a id Lr swi ag s,

wcifica t ion a , or ot h e r da t a (* II@ t . ‘=

rm ~ard ed by im plica t ion or ot he rwim e

in

m Y m -e r lice rm in g t h e t ild e r or an y ot h a r

p c r*On or corpora t ion , or con vey in g an y

r igh t s or p rm is . ion

to

m -n ufbc t ufe , u **.

or

e ll aay pa t en t ed in ven t ion t h u m ay in

m n 7 =*T h ra~-t d t br e t o .

a


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ror spd5 6 d A03 . va3 u .eI

a 23 6 q WiIh in m m u r-go t

— to 0.049

0.050 t o 0.069

0.070 t o 0 .1 0 9

O.lloto 0.164

0.165 t o 0 .Z19

0 .Z8 0 t o 0 .4 3 9

0 .4 4 0 t o 0 .6 9 9

0 .7 0 0 Ie 1 .0 9

1 .1 0 t o 1 .6 4

).6 5 t o 2 .7 9

2.80 t o 4 .3 9

4 .4 0 t o 6 .9 9

7 ,0 0 t o 1 0 .9

1 1 .0 0 t o 1 6 .4

Use t h h AQl

Vazue

0 . 04

0 ,O65

0 . 10

0 . 15

0.Z5

0 .40

0 . 65

1 .0

1 .5

Z.5

4 .0

6 .5

10 . 0

15 .0

““”

m

m

61 0 1J OIB35DF31

1 1 1 t o

1 8 0 Be&c I

1 8 1 t o

3 0 0 Et DFH_j

301 to 500 C32GIK

501 to

800 DFHJ L

80 1 t “ 1 .3 0 0

I

EGIKL

1 .3 01 t o

3 .2 0 0 FHJ LM

3 .ZO1 t o 8 .0 0 0 Gl

Lh i N

8 .0 0 1 t o 2 z ,0 0 0 HJ MNO

m

mple .i;e code le t t e r . given in body of

Uble re app li. abze wh en t h e in d ica t ed in -

p t c t im leve lw are t o be “m ed .

4

.


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mL-sm-414

11 Smn 1

TAB- A-S

OpraCinC Clmr.ete.si.tic CtMW9. for Su n @iD* Plan .

o f t %c t i~m B, C, 4 D


8/18/2019 MIL-STD-414.pdf

13/116

T

A

A

3

O

N

C

S

C

C

F

O

S

M

N

P

A

B

O

O

S

O

A

O

M

M

H

i

S

M

S

Z

C

E

L

;

W

B

4

I

C

e

*

m

?

~

p

b

-

m

+

0

.

V

w

y

“

o

d

i

q

k

n

a

I

—

S o u r c e : h t t p : / / w w w . a s s i s t d o c s . c o m -

- D o w n l o a d e d : 2 0 0 8 - 0 6 - 1 8 T 0 6 : 2 1 Z

C h e c k

t h e

s o u r c e

t o

v e r i f y

t h a t t h i s

i s t h e

c u r r e n t v e r s i o n

b e f o r e

u s e .

8/18/2019 MIL-STD-414.pdf

14/116

T

A

3

o

N

W

A

S

C

C

F

O

S

M

N

P

U

S

O

O

S

O

A

O

M

H

.

4

-

0

1

s

3

4

w

M

‘

m

0

w

1


- D o w n l o a d e d : 2 0 0 8 - 0 6 - 1 8 T 0 6 : 2 1 Z

C h e c k

t h e

s o u r c e

t o

v e r i f y

t h a t t h i s

i s

t h e


b e f o r e

u s e .

8/18/2019 MIL-STD-414.pdf

15/116

U

%

N

C

W

W

S

C

C

F

O

S

M

U

P

A

B

O

O

S

O

A

O

M

H

i

~

.


- D o w n l o a d e d : 2 0 0 8 - 0 6 - 1 8 T 0 6 : 2 1 Z

C h e c k

t h e

s o u r c e

t o

v e r i f y

t h a t t h i s

i s

t h e


b e f o r e

u s e .

8/18/2019 MIL-STD-414.pdf

16/116

‘

0

w

b

T

h

3

I

Y

N

C

S

C

C

F

O

S

M

N

P

B

O

S

0

A

N

M

M

S

M

E

S

Z

C

L

E

I

b

*

t

9

w

m

b

m

m

d

.

W

m

“

”

*

+

d

1

-

0

1

I

Q

3

4

w

w

m

a

4

l

o

M

q

m

m

-

U

u

4

1

1

I

I

p

”

S o u r c e :

h t t p : /

/ w w w . a

s s

i s t d o c s . c

o m

- -

D o w n

l o a

d e

d :

2 0 0 8 - 0

6 -

1 8 T 0 6 : 2

1 Z

C h e c

k

t h e

s o u r c e

t o

v e r

i f y

t h a

t t h i s

i s

t h e

c u r r e n

t v e r s

i o n

b e

f o r e

u s e .

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7

A

U

A

3

O

N

C

R

S

C

C

F

O

S

M

N

P

N

B

O

S

W

R

E

S

Z

c

w

L

F

: ,

[

c

m

f

“

S

,

1

1

b

d

m

.

”

9

A

4

9

“

?

w

b

m

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A

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H

*

“

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+

,

u

d

)

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h

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d

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.

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.

-

r

w

n

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u

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.

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9

d

I

u

k

,

m

”

+

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V

W

M

?

C

L

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I

1

m

4

1


- D o w n l o a d e d : 2 0 0 8 - 0 6 - 1 8 T 0 6 : 2 1 Z

C h e c k

t h e

s o u r c e

t o

v e r i f y

t h a t t h i s

i s

t h e


b e f o r e

u s e .

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T

U

A

3

O

A

N

S

C

C

F

O

M

N

P

A

Q

w

S

Z

C

W

$

T

F

I

C

h

e

,

O

S

m

O

A

O

M

M

S o u r c e :

h t t p : /

/ w w w . a

s s

i s t d o c s . c

o m

- -

D o w n

l o a

d e

d :

2 0 0 8 -

0 6 -

1 8 T 0 6 : 2

1 Z

C h e c

k

t h e

s o u r c e

t o

v e r

i f y

t h a

t t h i s

i s

t h e

c u r r e n

t v e r s

i o n

b e

f o r e

u s e .

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l

o

R

1

0

T

A

3

O

N

C

C

O

S

M

N

P

8

O

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?

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D

T

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:

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v

p

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b

w

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S o u r c e :

h t t p : /

/ w w w . a

s s

i s t d o c s . c

o m

- -

D o w n

l o a

d e

d :

2 0 0 8 - 0

6 -

1 8 T 0 6 : 2

1 Z

C h e c

k

t h e

s o u r c e

t o

v e r

i f y

t h a

t t h i s

i s

t h e

c u r r e n

t v e r s

i o n

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f o r e

u s e .

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I

x

T

M

A

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C

S

C

F

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M

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8

A

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Z

C

L

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(

C

n

w

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w

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U

(

h

p

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I

%

-

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k

+

b

B

m

,

1

d

h

m

I

l

_

S o u r c e :

h t t p : /

/ w w w . a

s s

i s t d o c s . c

o m

- -

D o w n

l o a

d e

d :

2 0 0 8 -

0 6 -

1 8 T 0 6 : 2

1 Z

C h e c

k

t h e

s o u r c e

t o

v e r

i f y

t h a

t t h i s

i s

t h e

c u r r e n

t v e r s

i o n

b e

f o r e

u s e .

8/18/2019 MIL-STD-414.pdf

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1

-

T

A

3

W

N

C

S

C

C

F

O

S

M

N

P

A

B

O

S

O

A

O

M

H

S

M

E

S

Z

C

L

H

I

w

&

,

@

,

h

b

s

d

m

,

”

4

W

w

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b

“

,

d

+

w

A

)


- D o w n l o a d e d : 2 0 0 8 - 0 6 - 1 8 T 0 6 : 2 1 Z

C h e c k

t h e

s o u r c e

t o

v e r i f y

t h a t t h i s

i s

t h e


b e f o r e

u s e .

8/18/2019 MIL-STD-414.pdf

22/116

O

N

C

S

C

T

A

3

C

F

O

S

M

N

P

A

B

O

O

S

O

W

A

O

M

H


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C h e c k

t h e

s o u r c e

t o

v e r i f y

t h a t t h i s

i s

t h e


b e f o r e

u s e .

8/18/2019 MIL-STD-414.pdf

23/116

T

A

3

O

N

C

W

A

S

C

C

F

O

S

M

N

P

A

S

O

O

S

D

A

D

M

H

S

M

E

S

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L

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I

h

l

a

s

+

t

m

k

d

m

r

m

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h

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w

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u

.

m

h

b

H

1

d

.

-

a

m

e


- D o w n l o a d e d : 2 0 0 8 - 0 6 - 1 8 T 0 6 : 2 1 Z

C h e c k

t h e

s o u r c e

t o

v e r i f y

t h a t t h i s

i s

t h e


b e f o r e

u s e .

8/18/2019 MIL-STD-414.pdf

24/116

T

A

3

O

N

C

S

C

C

F

O

S

M

N

A

B

S

M

S

Z

C

L

I

(

C

w

)

O

S

O

A

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M

H


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C h e c k

t h e

s o u r c e

t o

v e r i f y

t h a t t h i s

i s

t h e


b e f o r e

u s e .

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25/116

T

M

A

3

y

O

N

C

A

S

C

F

O

S

M

U

P

A

B

O

S

O

A

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N

M

M

E

S

M

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L

?

&

J

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f

o

u

p

h

d

m

m

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A

+

b

w

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- D o w n l o a d e d : 2 0 0 8 - 0 6 - 1 8 T 0 6 : 2 1 Z

C h e c k

t h e

s o u r c e

t o

v e r i f y

t h a t t h i s

i s

t h e


b e f o r e

u s e .

8/18/2019 MIL-STD-414.pdf

26/116

I

I

T

K

A

3

O

R

N

C

S

C

C

F

O

S

M

N

J

P

N

8

A

O

S

D

A

O

M

N

S

M

S

Z

C

L

J

(

C

m

t

d

l

b

k

M

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1

b

-

I

A

M

L

n

O

b

*

U

“

*

I

q

w

m

I

S o u r c e :

h t t p : /

/ w w w . a

s s

i s t d o c s . c

o m

- -

D o w n

l o a

d e

d :

2 0 0 8 -

0 6 -

1 8 T 0 6 : 2

1 Z

C h e c

k

t h e

s o u r c e

t o

v e r

i f y

t h a

t t h i s

i s

t h e

c u r r e n

t v e r s

i o n

b e

f o r e

u s e .

8/18/2019 MIL-STD-414.pdf

27/116

T

A

A

3

y

O

T

N

C

S

C

F

O

S

M

N

P

A

B

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O

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3

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+

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C h e c k

t h e

s o u r c e

t o

v e r i f y

t h a t t h i s

i s

t h e


b e f o r e

u s e .

8/18/2019 MIL-STD-414.pdf

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T

h

3

O

N

C

M

R

S

C

F

O

S

M

N

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A

B

0

1

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t h a t t h i s

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c

N

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A

3

=

5

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C

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X

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M

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in

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/ w w w . a

s s

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l o a

d e

d :

2 0 0 8 -

0 6 -

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1 Z

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k

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t t h i s

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c u r r e n

t v e r s

i o n

b e

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u s e .

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c

m

T

A

3

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C

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b e f o r e

u s e .

8/18/2019 MIL-STD-414.pdf

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T

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3

:

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~

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N

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A

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m

?

d

w

e

i

e

—

1

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b

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d

b

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n

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o

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p

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m

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t h a t t h i s

i s

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b e f o r e

u s e .

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O

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t h a t t h i s

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O

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T

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3

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N

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8/18/2019 MIL-STD-414.pdf

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T

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I

a

o

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T

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8/18/2019 MIL-STD-414.pdf

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VARIABIIJ TY

SSCTIW B

uNKNowN-sTANDAmf DEvlAnoN

Parf I

S INGLE S PE UF 3 CAT1 0 N LUA3T

S1.

SAMPIJNG

PLAN FOR SINGLE

SPECIFICATION LXM ’T

Th i. pAr l Of t h e St an da rd deoc r ibe . t h e

p rocedu r e* fo r u s . wh h p lan i fo r

oingle

ap e .ifiu t ion lim it wh en va r ia bilit y y of fh e

lot wit h re .pe c t t o t h e qu a lit y ch a ra e%er i. -

t ic i. u n k n own n d t h e .t an da rd devia t ion

m et h od ia u ed . Th e a cc ep t abilit y c r it er ion

i. given in t wo equ iva le n t io rm 9. Tbeoe a re

id e n t ified a s Form 1 -d Form .2 .

B1 .1 Use of Sam Pt in fl Pla J w. To de t e r -

m in . wh s t h e r t h e lo t m e=t . t h e cc ep t -

a bilit y c r it e r ion wit h re sp ec t t o

pa r t i c u -

la r qu a lit y c fu ra c t e r is t ic a .u d AQL. -Iu e .

t h e a pp lica ble cam p lin g p lan sh a fJ be u c ed

in

ccordan ce wit h lb. p r ovia ion m of S.c -

u c .n A, Gen e ra i Desc r ip t ion of

Samplmg

Plan. .-d th.. e i n %hi, part Of th. Standard.

B 1 .2 Drawi. .qo f Sam plem . AfI .am plew ha l l

be d rawn in accordan ce -’t h p a r agr aph A7 . Z.

B1 . 3 Det e rm in a t ion of Sam p le Size Code

~. Th e .sm pla

zce cod

l e t t e r

h a

be se le c t e d fr om Table A-Z in c co rd anc e

wit h p a ra s raph A7 . 1 .

B2 SELSCTING THE SAMPLING PM

WHEN FORhf 1 IS USED

BZ. 1 Maa t e r s am plin g Table s . Th = m u t e r

an m lm n t a ble s fo r m lan a ba sed or . -r ia -

bilit ~ -MI for ~ n gle s pe cific at io n

lim it vben u s in g t h e c t a ad a rd devia t ion

me t h o d r e T ab le s B-1 .nd B-Z, Table B- I

in .m =d le r n orm .] an d t igh te r .e d ir iap e c t ion

a r t < Table B - Z for r edu ced

imspeet io i t .

B 2 . Z Obt ain in g

t he Sa? n Plin K

PIan.

Th e

.m np l. t ig p lan con s.s t . .1

.unple .i.e 8d

m

~nociafed

Cc.eptability COtI.unt. 1 The

s am p lin g p lan i. obt a in ed from Ma t e r

Table B-1 -, B-.? .

B2 .2 .1 Sam Ie Sis e . Th e ample . is e - Z*

~h oum m t e m a .,. . t a bl - e o.-. . p -.fin g *O

.-.1 . ..cn ple ic e c u t e t e t t e r .

BS. Z.2 Accepu bility brmant. The acc.p

dility

c oru taa f k . c or r eewm t

. g t o t b emun

p le s ize m en t ion ed ia pn agraph B2 .2 .1 ,

in d icm ed in t h e colum n of t h e n u s t e r t a

cor r e~pm xlin g t o t be app lic able A(2 L va l

Table B-1 i. e n t e r ed from t h e fop fo r n

m a l in opec fion

n d fr om t h e bo t t om

t igh t en ed in sp ec t ion . Sam plin g p lu m for

duced

in spe c t ion a re p rovidd_ in Table B

B3. LOT-BY-WT ACCEPTABILITY PR

CEDURES WHEN PURIM 1 LS USE

B3. 1 Accep t abilit y Cr it er ion . Tbe degr

o f c on fo rm an ce of q

u afit y c b8 ra c t er ic t i

wit h r e sp e c f lo s in gle sp ec ifica t ion lim

.W1 be ju dg.d by t h ~, qu sn t it y (u -XJ I*

fl-L)/ i. .

B 3 .2 . Corn t a t ien . Tt It fo llowin g qu an t

.h a ff b- (“-X)/ ’ ., (x-L)/ . , d

pen d iagon wh e t h e r t he sp e c ifica t ion lim it

~ qpe r o r lower lim it , +e r e

U i. t k u ppe r spe c ifica t ion lim it .

L i- t be lower sp ec ific a t ion lim it ,

X i. t h e sam p le m ean . a n d

. i. t h e .t irn at e o f lot sn &rd de .r la t io

B3 .3 Acc

ability Crite rfon. Cumpare

abifttywmst-nt k. ff (u-x)/m or (x- f.)/a

equal to .ar gre8ter tlun k, the lot meets t

=cc~tiIf.fty criterion: if (U-X)1.** (X-f-)1

ia l.mm Uu8 k or nerative, 3hrm the M &

not meef the •=e~llity c r i t e r ion .

M. t 3 1 J M3 t MRY FOR OPXRATION O

~~MNG PLAN WREN FORM s

Th e foLIowfn r ‘soP* •~m ar is e ‘h e Pr

=~u . . . t . . . . m llowed :

(1 ) Da t e r rn irw t h e sxm ple . i.e code lt

t e r from Table A-2 by um in g t h e le t s is e a

in .p cc fion leee l.


8/18/2019 MIL-STD-414.pdf

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MIL-m-414

11 Jt333e1957

(2)

Obfa i. Pk . from Mam er Tab)= B-1

or B-z by .e lee t in g t h e sam p le s ize n an d

t he ac . .p t abill$ y con st an t k .

(3 ) Se lec t a t ran dom t h e sam pl= of n

unit. lrorn t h e le t ; in spe c t n d record t h e

m ea . u re r n em of sh e qu a lit y c h arac t er is t ic

fe r each u t iit o f

the sample.

(4 ) Cm n p .t e t h e s .m p Ie mean ~ an d

e s t ima t e

of lot

s t s ”da rd dcvis t ic .n . . an d

ISO com pu t e t h e quan t it y (u -X)1 . fo r an

u pe r sp e c ifica t ion lim it V or t h e q~n t it y

A-L)/ . fo r

k .wer .pe c it ic a t io~ lid s 3 . .

1 5 ) M t h e quan t it y (u -X)/ s o r (X-W.

i. equal co or greater

t h an k , t h e 1 0I m ee t s

t h e

c .e p t .bilicy c r it e r ion : it ’ (u -X)/ . or

(X-L)/. i. [e..

(ha--- k or negat ive, t hes

the

lot doe’ rwtmeel

Ih ea cc ep t t ii lily c rit e r io n.

B5.

SELECTING THE

SAMPL3NG P2AN

WNEN

FOfUd Z 5S

USED

S3 5 .1 h 4a sc c r Sam plin g Table .. Th . m a. t e r

.am pJ mg t able s fo r p la n s ba sed on va r ia bil -

it y u n kn own for a s in gle spe c ifica t ion lim it

wh en u s in g t h e m ~n d -rd deriatitm method

sre Table. B-3

nd

B-4 of Pa r t If. Tsble

B-3 is u se d fo r n orm a l a“d ai~h t en ed

inm pec -

eion

an d Table B-4 .fc .r red uced .in sp ec tion .

B 5 .Z Obla in in ~

t he Sam plin g

Plan .

Th e

sa rn p li”~ p lan co. s s .t s of . .u n p l. , Ize a n d

sn s soc ia t ed m axim um alk .w=ble pe rcen t

d a$ e c live . Th e sam p lin ~ p lm i. ob ta ined

from MaDt e r Table B-3 or B-4 .

6 5 .2 .1 Sam ple Size . T)M

m n p le m ic e n is

h ewn m t h e m a . t c r t a ble co r t e sp en d in ~ 1 0

each sam >le .iz . code le t t e r .

1 3 5 ..? .Z Ma xi m . m Allo w8 ble Percent Defee-

t$ve.

The rrm xim .t n

llowable p .=. en t d e -

=live M for am ple s t im a t e. c or re sp on d .

im g t o t h e .un p le s ize m =n t ion ed in

pa :a grm ph 9 5.2 .1 is it td ica t ed in

t he c olum n

of t h e n m .t e r t a ble .xxr e .pon d iy t g t o t h e

Pp lic=ble AOL va lu e . Tabl. B-3 i. =n t =,.d

from t be t op fo r n orm al in spec t ion -d fr om

t h e bot t om lo, lsghter.ed in. peetion. Sam -

-li>g plan. lcIr reduced i n spec t ion r m p ro -

d-l ea ,. ~a~,e ~-, .

B6 .1 Accep t abilit y Cr it e r ion . Th e dc~re e

of c on fo rm an ce Of a qu a llt y ch ar ac t er is t ic

wit h re sp ec t m

a i.n gle s pe cific at ion lim it

hall

b, ju dged h y t h e pe rcen t o f rm n em -,

Iorm ,n g p rodu c t ou t s id t t h e u ppe r or low+r

cpe c ift ea t ion lim it . Th e pe r cen t age of Ma -

coa fo rming

product is

cs t im at t d by wiie r ia ’

T~le B-5 wit h t h e qu glit y in dex an d t h e

s amp l e

ize .

B6. Z GE-I

u t a t io” o f Qt ufit

~-lity~-X)~rnpE~

if t h e spe c ifica t ion lim it i. a u ppe r lim it

U, or OL . (X- L)/t if it is a Io-e r J im it L.

Th * q ua at it ie .. X

m d s .

r e t h e rnp l .

m e a n n d e .t im m e of lot s t an da rd devia t ion .

re spec t ive ly .

W.

~

-ii-t-d

P.,. em

d.f=~ti- in d

lo t

bove t h e u ppe r sp e c ifica t ion lim it ,

or

by ?z.. th. es t im at ed pe rcen t d e fe c t ive be low

t he lower .p ec ifi ca t ian lim it .

Tb e

s t ima t e d

Pc*.=.: d e fec t ive PU or

PL i .

obt ain ed by

en t e r in a Tabk B-5

w it h Ou or QL

an d t h e

ppropr ia t e anple s ize .

336 . 4

Acceptability Criterion. Gmpare the

es t im at e d lot pe re en t de Ie c t ive pU or pL wit h

t he m axim um allowable pe rc en t d e fec t ive M.

U PU Or Pl, 1 . eqUf t o or lea s

thn U, the

lot rneets the

a cc ep ta bilit y c rit e r io n;

i f Pu

or p~ is greaier t han M or

if Qu or Q is

,n ega t ive , t hen

t he 10: does not meet

\ h e

a cc ep ta bilit y c rit e r io n.

B7 . SIJ 7 1SMARY FOR OPERATION

OF

SAMPL3NG PL.AN WHEN PORM 2 3 S

USED

Th e fe llc .rn ng s t ep . .um rn ar iz .e t he p ro -

cedure. to be fallc.u.ed,

(1 ) De t erm in e t he m ple .i=e code le t -

t e r from Table A-2 byu . in g t h e lot s ize m d

t he in spec t ion leve l.

(Z) Obt a in p la n from Mas t e r T=ble B-3

or B-d by .e le c fi.~ t h e .u n p le .ixa n

attd

t he m axim um allowable pe rc en t d e fe c t ive M.

(3 ) S ele ct

t

ran dom t h e

ample of n

unit. frmn the Io f; in sp ec t UId re cord

t he

m. a s u r e r n emt

of

t h e qua lit y ch a rac t . r im ic

cm each .u n h of t h e

amp l e .

(4 ) Cm npu t e3 h = sam ple m ean X a r id t h e

e c t im a le o f lo t . t a ”d a rd devfa t ia n . .

(5 ) Com pu t e t h e qu a lit y in d ex Q

(U-X)/ *

if n upp. r .p e.ific . t ie , . lim it

J f i:

P.*ifie d . or OL = (x. L)/ . if lc t we rspec -

iiic a t ion 1 ;... ;. L

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Mu.-sm4l4

11

J uoe 1 9

fi) ff t he e . t im a t ed lo t p er ce rn de fec tive

is~r ea t e r t l.an U Orif QuOr C3~ is a ep t i

PU Or PL i. ~ud to or 1... than the max i .

r

h en t h e lot doe . m l m ee t t h e c cepm bi

m um .d lowable p e rc en t d e fe c t ive M.

the lot criterion.

meet. the

cc.pt~bil$ty criteriom if PU Or PL

EXAMPLS B-1

Exm n p le o f Ca lc ufa t io .s

Sin gle Spe c i ica t lon Lim it -Form I

Va r ia bilit y Un kn own - St an da rd Devia t ion

Method

ExAm ple Th e rn .t im um t em pe ra t u r e

o f o per at io n

fo r ce r :a in devic . i. .p e c ifi.d . .? 09 ”

A lot o f 4 0 it em . i. s u bm it t ed fo r in sp ec t ion . Zn . p ec t ion Z-eve l IV, n orm al in sp e c

t ion , wit h AQL = 1 -% i . t o be u , c d .

From Table s A-2

n d B-1 i i. a e e : t h a t

m arn p lc 0 1 s is e 5 i. r equ ired . Su ppose t h e m ea su rem en t . obt a in e d a re

. 1 .s3

Exp lana t ion

(975 )2 / 5

1 90 ,4 3 5 - 1 9 0,1 2

3 1 0 / 4

-s

9 7 5 1 5

[2 0 9 - 1 9 5 )/ S .8 1

S. . Table B-1

Se e Pa r&. B3 .3

Th e lo t rneetm the .cceptabiltty c r it e r ion . m in ce (U. ~)/ s is ~r em t=r t h an k .

NOTE: If n gle lower sp c ffiea t {on lim it L is given . fh e n com pu fe t h e q~n t ilY ~-~)f~ i

Iin . 1 0 -d com ~re il wit h k , t h e lo t m ee t . t h e =cc ep t 8 bilit y *r ii=. iQn . if (~-Ll/ * i

equ a l t o o r gre a fe r t h an k .


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...

TABLE B-1

Standard Deviatiom Methc.d

MIster Table Far Normal &.d

T i~ h te n e d fn . p e ct lo .

for PlaIJsBased on Variability Unknown

[Sin gle Sp ec ific at io n Lim it – Fo rm 1 )

Sample size

code letter

B

c

Ac c e p t ab le (

.25

.40

kk

k

2.00

1.88

2.11 1.98

2.2o 2.06

2.24 ,?,11

3..26 2.14

-

allty

.—

.65

T

$

. CVC IS (n o rma l i n s p ec t i on )

m

Gi-

k +

,10

,15

k k

1.50

k

2.s0

4.00

k k

1.12

.958

1,17 1.01

1.24 I .07

1.33 1,;l5

1.41

1.23

1.47 1.30

1,51

1.3)

1.53 1.35

1.55 1.36

1.57 1.39

1.58

1.39

.

1.61

1.42

1.65

1.46

1.67 1.48

1,70 1.51

1,70 1.51

4.00 6.50

m

T

0.00 15.00

k k

.566

. 341

. .

.6 1 7 .3 9 3

. 67S

. 4s5

.7 s5 .5 1 6

. 82n

. 611

k

7

1 . 45

—

1.53

1 , 62

1 . 72

t . 79

1.8 .?

1 . 85

1 . 86

1 . . 99

1 . 89

—

1.93

1 . 98

2 . 00

2 . 03

2 . 04

1 . 50

—

,fVela

k

.765

.814

.874

.955

1.03

—

2.64

2.69

2.72

—

2.73

1.17

2.77

—

2.83

2.90

2.92

i

—

2.53

2.58

2.61

l-k

?.24

v

1.34

D

E

F

G

34

,1

5

7

10

1.65

).15

1.04

1.91

1.96

1.98

—

2.00

2.03

2.03

1.40

1.50

1.58

—

1,65

1.69

1.72

1

15

20

25

-

30

35

I

.42 2.3?.

1.09

1.12

1.14

+

.886

.664

.917

.69s

.936

.71,?

.946

.723

.969 .145

.971

.746

I

.4 7 2 .3 6

g

2.50 11.40

J

K

2,61

.?.65

?.,66

—

2.71

2.77

2.80

2.51 2.41

1

.2.9 2,15

2.31 2.18

2.31’ 2.18

—

2.35 2.22

2.41 2.27

2.43 2.29

2.47 a.33

2 .4 7 2 .3 3

.4o i .6 5

1.73

1.76

1:76

1.1s

1.18

1.18

I

,54 2.45

L

5.4

N

o

P

Q

40

50

75

100

+

2.5s .3.44

2.6o 2.5o

2 , 08

2 . 12

2 . 14

7 , 1

2 , 1 [

1.80

1 . 84

1 . 86

—

1.89

1 . 89

I.ZI

1.Z4

i.26

1.29

1.29

i

1.00

.774

1.03

.ao4

1.05 .819

I .07

.841

1.07

.845

I 5.00

2.66 2.55

--t-

2.69 2.58

2.13 2.61

L

50

zoo

2.96

2.97

—

.065

Z.84

2.85

-t

2.73 2.6.?

.15

.2510

I

,0(

—

alit,

Z.50 ,0.00

A21AOL wdue8 ye knpercent de-a.

AcceptableC lightened inspectio

1:::,

V.V

,tern hth. lot

m u s t b e in s pe ct e d.

[Irst

tunpllq plan belcw

rrow, that is, both sample OIZ.Sas well ao k va2ue. When nample sise equdt er e=ceedo lot ~~


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TABLE 23-2

“S t anda rd Deviallm Method ~E

Maater Table for Reduced lnmc.ectimfor Plana Breed On Varlabilitv Unkmwm

(Sin gle Sp ’c .ifi. .t l.n Lit ni t -F . r m I )

I I

uality Levelo

EEE

“Ac

x

—

k

—

I

SampIe size

I

Sunp l e

Code

latter

size

.04

I

.06S

I

.10

Z.50

k

.—

.958

.958

.958

.95.9

1.01

1.07

1.15

1.23

4,00 6.50

k

k

.165 .566

.765

.566

,76$

.564

,165

,566

..914

,617

.874 ,675

.955

.755

1:01 .828

1.03 .828

1.09 ..986

I.lz .91?

I.lz

.917

1.14

.936

1.15

.946

—

I.zl

1.00

1.24 1.01

i65i

15

k

i

Zoo

Z.11

.40

—.

k

—.

I

—

.—

1,65

i.75

1.84

-L

k

m

I

.$ 8

1.9a

—

1.9a

J+~~

.lz

1.12

1.12

I,lz

.141

.141

_—

.141

.341

.393

—

,455

.536

.611

II

.664

.695

—

—

z

-i-

D

3

E 3

T 4

G 5

H

7

1,45

t

1.34

—. —

1.51

1.40

1 .17

1.Z4

1.62 1.50

1.33

1.41

*

1 10

J

10

K

15

1.7Z

k

1,58

.

1.72

1.50

I

Z.Z4

Z.11

Lzo

Z.Z4

—

.LZ4

2.Z6

2.Z8

—

Z.Y5

Z.41

.84

1.91

:.96

1.41 1.23

1.30

1.11

1.33

1.35

1,36

.—

1.4Z

1.46

-1--

.79

1.6S

1.8Z

1.69

1.8z

1.69

2.06 1.47

.53

t-t

Z.4Z

Z.)z

Z.58

Z.47

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