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8/18/2019 Updated Case Study on Spc-sqc
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ASE STUDY ON
ASE STUDY ON
SP / SQP / SQ
TE HNIQUES
E HNIQUES
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STORE:PRIMER NO.12STORE:PRIMER NO.12 MULTI DECO CNC M/C NO.MULTI DECO CNC M/C NO.1036410364
COMPONENT:BODYCOMPONENT:BODY USL=16.027USL=16.027LSL=15.926LSL=15.926
OPERATION:COMPLETEOPERATION:COMPLETE PARAMETER:TOTALPARAMETER:TOTALLENGTLENGT
!RE"UENCY:60 MIN!RE"UENCY:60 MIN
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ONLINE DATA FOR SP BY
NLINE DATA FOR SP BY
ONTROL HARTS
ONTROL HARTS
SLNOSLNO #1#1 #2#2 #3#3 #4#4 #5#5 # BAR# BAR RR
11 15.9615.96 15.9$15.9$ 15.9615.96 15.9$15.9$ 15.9615.96 15.96$15.96$ 0.020.02
22 15.9415.94 15.9715.97 15.9715.97 15.9615.96 15.9415.94 15.95615.956 0.030.03
33 15.9615.96 15.9$15.9$ 15.9715.97 15.9$15.9$ 15.9$15.9$ 15.97415.974 0.020.02
44 15.9615.96 15.9715.97 15.9615.96 15.9715.97 15.9715.97 15.96615.966 0.010.01
55 15.9$15.9$ 15.9$15.9$ 15.9615.96 15.9715.97 15.9615.96 15.97215.972 0.020.02
66 15.9615.96 15.9715.97 15.9615.96 15.9715.97 15.9715.97 15.96615.966 0.010.01
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STEPS FOR X BAR HART
TEPS FOR X BAR HART
AND R HART
ND R HART
# = 15.967
R = 0.01$3
CALCULATE UPPER CONTROL LIMIT %UCL& AND
LO'ER CONTROL LIMIT %LCL& !OR # BAR CAR AND R CART
# CART R( CART
UCL = # )A2 R D4 # R
LCL = # * A2 R D3 # R
%A2+ D3 , D4 ARE STANDARD -ALUE&
COMPUTE # AND R
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OMPUTE U L &L L
OMPUTE U L &L L
FOR X BAR CHARTFOR X BAR CHART
UCL = 15.967 ) 0.577 0.01$3 = 15.977UCL = 15.967 ) 0.577 0.01$3 = 15.977
LCL = 15.967 * 0.577 0.01$3 = 15.956LCL = 15.967 * 0.577 0.01$3 = 15.956
FOR R CHARTFOR R CHART
UCL = 2.115 0.01$3 = 0.03$7UCL = 2.115 0.01$3 = 0.03$7
LCL = 0 0.0.01$3 = 0LCL = 0 0.0.01$3 = 0
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USL
LSL
X BAR CHARTX BAR CHART
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R CHARTR CHART
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INTERPRETATION OF X BAR
HART AND R HART
TE PROCESS IS IN CONTROL ASTE PROCESS IS IN CONTROL ASBOT TE CART SO'S A STATEBOT TE CART SO'S A STATE
O! CONTROL.O! CONTROL.
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PRO ESS APABILITY
RO ESS APABILITY
INDEXNDEX
C=TOLERANCE / 6 SIGMAC=TOLERANCE / 6 SIGMA
= USL(LSL / 6 SIGMA= USL(LSL / 6 SIGMA
SIGMA= R BAR / 2 %2 8&SIGMA= R BAR / 2 %2 8&
= 0.01$3 / 2.326 = 0.007$= 0.01$3 / 2.326 = 0.007$
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OMPUTE p & pk
OMPUTE p & pk
C=16.027 * 15.926 / 6 SIGMAC=16.027 * 15.926 / 6 SIGMA
== 2.1582.158
C=M;C=M;
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OMPARISON OF SIGMA
OMPARISON OF SIGMA
QUALITY LEVELS
UALITY LEVELS
Quality LevelQuality Level CpCp Defective PPDefective PP
2 S;>?2 S;>? 0.170.17 30$53$30$53$
3 S;>?3 S;>? 0.500.50 66$0766$07
4 S;>?4 S;>? 0.$30.$3 62106210
5 S;>?5 S;>? 1.171.17 233233
! "i#$a! "i#$a 1.5%1.5% &.'&.'
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TE -ALUE O! C = 2.15$TE -ALUE O! C = 2.15$
TE -ALUE O! C= 1.752TE -ALUE O! C= 1.752
TIS INDICATE TAT PROCESSTIS INDICATE TAT PROCESS"UALITY LE-EL IS ABO-E 6 SIGMA"UALITY LE-EL IS ABO-E 6 SIGMALE-EL.LE-EL.
INTERPRETATION OF p
AND pk INDEX
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