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K SS Lab Assessment
Total point value: 10 points
Point value each worksheet: variable
Points Lost Points Earns
Specifcation Charting 300
Precontrol Charting 300
!eviation Charting "00
Score 10.00
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Proble# $reas
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Specifcation Chart
Givens: Cp % 1&0
Specifcation % '&00 ( ) * 01' ##
+e,erence -o % '&00 ##
Total Tolerance % 0'" ##
.SL % '&1' ##
LSL % '"// ##
sa#ple sie n2 % "
CONSTANTS
$ % 1&00
'0&
"4/
0
1 ' 3 " & 4
!ata 1 '&0" '" '&00 '&0" '&04 '&0/
!ata ' '&0' '&01 '"4 '&0' '&0" '&0"
!ata 3 '&03 '&00 '"5 '&01 '&0& '&0&
!ata " '&0' '&00 '" '&03 '&0& '&05
X Charting 1 ' 3 " & 4
$verage -6s '&03 '&00 '"/ '&03 '&0& '&04
+e, -o '&00 '&00 '&00 '&00 '&00 '&00
.+L7 '&0" '&0" '&0" '&0" '&0" '&0"
L+L7 '"4 '"4 '"4 '"4 '"4 '"4
R Charting 1 ' 3 " & 4
8n9iv +6s 00' 00' 00" 003 00' 00"
9' %
!' %
!1 %
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Specifcation Chart
00& 00& 00& 00& 00& 00&
013 013 013 013 013 013
8nterpretation o, chart change when ;< n change is #a9e:
+σ
.+L+
1 ' 3 " & 4 5 / 10
'"0
'"&
'&00
'&0&
'&10
X-Chart
Subgrous
1
000
00&
010
01&
0'0
0'&
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Specifcation Chart
Ca!cu!ations
Cp %
σ = .SL*LSL2 ) 4 Cp
σ = 003 ##
.+L7 % '&0" ##
L+L7 % '"4 ##
00& ##
013 ##
0 ##
=ighl; Capable Process
n
; % Cp o, '00 n % Cp > '00
5 / 10
'"4 '"4 '&01 '"
'&00 '"' '&0" '&03
'&0/ '"3 '&0& '&0'
'"/ '"& '&01 '&00
5 / 10
'&01 '"" '&03 '&01
'&00 '&00 '&00 '&00
'&0" '&0" '&0" '&0"
'"4 '"4 '"4 '"4
5 / 10
01' 00" 00" 00"
.SL*LSL2 ) 4 σ
+σ %
.+L+ %
L+L+ %
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Specifcation Chart
00& 00& 00& 00&
013 013 013 013
' 3 " & 4 5 / 10
R-Chart
Subgrous
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Specifcation Chart
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Specifcation Chart
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Precontrol Chart
Givens Ca!cu!ation
Cp %
Cp % 1&0
σ =
Specifcation % 31& ( ) * 010 ##σ =
+e,erence -o %
"" #n$ivi$ua! X%s Total Tolerance %
!ata ?alue
1 3'3
' 3'1
3 311
" 31& .SL %
& 314
4 31' -o ( PC %
5 31&
/ 313 -o * PC %
31
10 31" LSL %
X Chart 1 ' 3 " & 4 5
8n9iv -6s 3'3 3'1 311 31& 314 31' 31&
.SL 3'& 3'& 3'& 3'& 3'& 3'& 3'&
-o ( PC 3'0 3'0 3'0 3'0 3'0 3'0 3'0
+e, -o 31& 31& 31& 31& 31& 31& 31&
-o * PC 310 310 310 310 310 310 310
LSL 30& 30& 30& 30& 30& 30& 30&
Chart 8nterpretation:
330
&recontro! Chart
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Precontrol Chart
1 ' 3 " & 4 5 / 10
300
30&
310
31&
3'0
3'&
Subgrous
X 'a!ues
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Precontrol Chart
s
.SL*LSL2 ) 4 Cp
00'
31& ##
0'0 ##
@ones
3'& ## A)+2
3'0 ## B)A2
310 ## B)A2
30& ## A)+2
/ 10
313 31 31"
3'& 3'& 3'&
3'0 3'0 3'0
31& 31& 31&
310 310 310
30& 30& 30&
.SL*LSL2 ) 4 σ
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Precontrol Chart
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Precontrol Chart
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Precontrol Chart
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Precontrol Chart
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Precontrol Chart
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Precontrol Chart
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Precontrol Chart
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!eviation Chart
Constants &rocess Assessment
Sa#ple n " Process Specifcations % 0000 ()* 00"
05' 00" .SL -*! Cp 15"
''/' *00" LSL 0000 Cpk 1&/
Rough $iameters bet(een ) an$ )0 mm
*iameters 1 ' 3 " & 4 5 /
Target +.)00 ,.000 1).000 1.000 1.+)0 /).000 /.)00 ,.00 /+.00
!ata 1 5&01 & 1"" '100' 135&' "&01& 3""/ '4/ "5/03
!ata ' 5&00 4001 1&005 '0' 135&& "&003 3""4 '4/3 "5/0"
!ata 3 5"/ 400' 1&003 '100' 135"0 "&01' 3""3 '403 "5/0&
!ata " 5"4 &/ 1" '00 135"& ""0 3"&0& '4/" "55"
*eviations 1 ' 3 " & 4 5 /
!ata 1 00010 *00010 *00040 000'0 000'0 001&0 *000'0 *00010 00030
!ata ' 00000 00010 00050 *000/0 000&0 00030 *000"0 *00050 000"0
!ata 3 *000'0 000'0 00030 000'0 *00100 001'0 *00050 00030 000&0
!ata " *000"0 *000'0 *00010 *00100 *000&0 *00100 000&0 *00040 *00040
X-2ar Chart 1 ' 3 " & 4 5 /
!eviation -*ars *0001' 00000 0000/ *0003& *000'0 000&0 *000'0 *000'5 0001&
-*!ouble ar *0000" 0000 0000 0000 0000 0000 0000 0000 0000
.CL -*ar 001'0 001' 001' 001' 001' 001' 001' 001' 001'
LCL -*ar *001'/ *0013 *0013 *0013 *0013 *0013 *0013 *0013 *0013
R charting 1 ' 3 " & 4 5 /
!eviation +anges 000&0 000"0 00130 001'0 001&0 00'&0 001'0 00100 00110
+*ar 00150 0015 0015 0015 0015 0015 0015 0015 0015
.CL +*ar 003/ 003 003 003 003 003 003 003 003
$'
!"
0010
00'0
Chart o3 *eviation Averages
*eviation Averages
0
0
0
*evi
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!eviation Chart
1 3 & 5 11 13 1& 15 1 '1 '3 '&
*00'0
*0010
0000
Subgrous
0
0
0
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!eviation Chart
.SL*-*! 00" 000/'/
-*!*LSL 00"
10 11 1' 13 1" 1& 14 15 1/ 1 '0 '1
.,00 //.000 /./00 +./00 1).,00 ./00 1/.00 .+00 /).00 /0.00 ,.00 1+.,00
'3&& "3 "/3 '5"0& 1&& 333" 1"10 3504 "&00 "0313 '40 15&/
'3&3 "3& "/3& '5"10 1&400 3335 1"/// 3510 "&10 "0310 '41& 15415
'3&' ""00" "/"04 '53 1&40/ 33"0& 1"/0 3511 "&/// "0300 '4/// 15411
'3& "3 "/"10 '53" 1&410 33"10 1"0& 34// "&/0 "0'& '4/0 15&/
10 11 1' 13 1" 1& 14 15 1/ 1 '0 '1
*000&0 *00010 *00010 000&0 *00010 *00040 00100 00040 00000 00130 0000 *00110
*00050 *000&0 *000&0 00100 00000 *00030 *001'0 00100 00100 00100 001&0 00150
*000/0 000"0 00040 *00010 000/0 000&0 *00100 00110 *001'0 00000 *001'0 00110
*00010 *00010 00100 *00040 00100 00100 000&0 *001'0 *00100 *000&0 *00100 *00110
10 11 1' 13 1" 1& 14 15 1/ 1 '0 '1
*000&3 *0000/ 000'& 000'0 000"3 0001& *0001/ 00035 *00030 000"& 0000& 0001&
0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000
001' 001' 001' 001' 001' 001' 001' 001' 001' 001' 001' 001'
*0013 *0013 *0013 *0013 *0013 *0013 *0013 *0013 *0013 *0013 *0013 *0013
10 11 1' 13 1" 1& 14 15 1/ 1 '0 '1
00050 0000 001&0 00140 00110 00140 00''0 00'30 00''0 001/0 00'50 00'/0
0015 0015 0015 0015 0015 0015 0015 0015 0015 0015 0015 0015
003 003 003 003 003 003 003 003 003 003 003 003
30
"0
&0
Chart o3 *eviation Ranges
tion Ranges
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!eviation Chart
1 3 & 5 11 13 1& 15 1 '1 '3 '&
00
10
'0
Subgrous
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!eviation Chart
'' '3 '" '&
).)00 .,00 11.00 1.)00
&&03 404 115/ 1&0&
&&10 410 1150 1&0'
&"/0 & 11/05 1"/0
&"0 &5/ 11/0& 1"/&
'' '3 '" '&
00030 00040 *00110 000&0
00100 00100 *00100 000'0
*00'00 *00010 00050 *00'00
*00100 *00''0 000&0 *001&0
'' '3 '" '&
*000"' *00015 *000'3 *00050
0000 0000 0000 0000
001' 001' 001' 001'
*0013 *0013 *0013 *0013
'' '3 '" '&
00300 003'0 001/0 00'&0
0015 0015 0015 0015
003 003 003 003
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!eviation Chart
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!eviation Chart
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!eviation Chart
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!eviation Chart
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!eviation Chart
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!eviation Chart
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!eviation Chart
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Sa#ple sie n $
' '1'1 1//0 '4& 055 1'&33
3 153' 10'3 1&" 0//4' 11'/"
" 1&00 05' 14'/ 0'13 10/&"
& 13"' 0&55 1"'5 0"00 1043/
4 1''& 0"/3 1'/5 0&1& 10&10
5 113" 0"1 11/' 0&" 10"'3
/ 1041 0353 10 04&0 10343
1000 0335 103' 043 10315
10 0" 030/ 05& 05'5 10'/1
11 00& 0'/& 0'5 05&" 10'&'
1' 0/44 0'44 0//4 0554 10''
13 0/3' 0'" 0/&0 05" 10'10
1" 0/0' 0'3& 0/15 0/10 101"
1& 055& 0''3 05/ 0/'3 101/0
14 05&0 0'1' 0543 0/3& 1014/
15 05'/ 0'03 053 0/"& 101&5
1/ 0505 01" 051/ 0/&" 101"/
1 04// 01/5 04/ 0/4' 101"0
'0 0451 01/0 04/0 0/4 10133
'1 04&& 0153 0443 0/54 101'4
'' 04" 0145 04"5 0//' 1011
'3 04'4 014' 0433 0//5 1011"
'" 041' 01&5 041 0/' 1010
'& 0400 01&3 0404 0/4 1010&
$'
$3
C"
1)C"
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3'45 11'/ 0//4& 0000 34/4 3'45
'&4/ 143 0&05 0000 "3&/ '&5"
''44 '0& 0"/&5 0000 "4/ ''/'
'0/ '3'4 0"' 0000 "1/ '11"
150 '&3" 03"4 0000 &05/ '00"
1//' '50" 034/ 0'0" &'0" 1'"
1/1& '/"5 03&1' 03// &304 1/4"
1541 '50 03345 0&15 &33 1/14
1514 305/ 03'" 04/5 &"4 1555
145 3153 031&' 0/11 &&3& 15""
14"4 3'&/ 0304 0'' &&" 1515
141/ 3334 0'/ 10'& &4"5 143
1&" 3"05 0'3& 111/ &44 145'
1&5' 3"5' 0'//0 1'03 &5"1 14&3
1&&' 3&3' 0'/31 1'/' &5/' 1435
1&3" 3&// 0'5/5 13&4 &/'0 14''
1&1/ 34"0 0'5"5 1"'" &/&4 140/
1&03 34/ 0'511 1"/5 &/1 1&5
1"0 353& 0'455 1&" &'1 1&/&
1"55 355/ 0'4"5 140& &&1 1&5&
1"44 3/1 0'41/ 14& &5 1&44
1"&& 3/&/ 0'&' 151 4004 1&&5
1""& 3/& 0'&45 15& 4031 1&"/
1"3& 331 0'&"" 1/04 40&4 1&"1
"
9'
1)9'
!1
!'
!"