B!+, F(> +9:;<= 4>?@A BC,DCEF<9 =>;C>9>?GD49C>,DC (>9(>=-+(, *F47?0, * . (4 9 -* . "+ * - 9 F7S *?*, -99(9(, *, ;, 7 S *, "-09#≈O'7(, ; ( .* + - 9I -9I 9 7 9"4>/.*"4-*c 4d7H.(49, ;*"-: . "+ * - - 7 ? *, > -<?99(9(, ;, ;, 7S "- >4-?0., ;7H> /+.*"5F(>"-+7 + =4 4 " -+ F (>7" -+ 0 " #, , ].('e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f(0Ya((9Y, efY5YY'>/ =)(=>4F(>*.(9:-*9*+7H =(5(=>.-*9*+-90/9* , ;7 &"-+(<4-I(4, ;/ =/?.:F(>?7(>+ +, -, *, ;((+, 5 I > 0 " -+ 0/ 9* " - 9 , *F (> ;#, O9+, ('7-:<+, / B!+, F(> B "9*()*-*-:D-+"-+F (>"7 +$#(N+%O!"%A & :", 4/9:-:< +, 4S =7-:<"=:, $( V: < +, F ( 94 #0.09 =(.' x ]( V:<+, (<(=> &]( V: <+, -* 9*+( F (>#0(0 0.' %]( V:<+, 4#(' ]( V:<+, "* ]( V:<+, "49*"* 4 !P%4!6 S =O+, (-+, , *F(>7S ;9-: <+, -:0, *.I4+, ("7 +$#4 !P(H7%Q4 !P $& >B7(>="O9+, (+0-+*0" -+ -I=*. = 4 F (>78 (<=) - (, ;+, (9, I\(<"+"-+(, * 4-".=.-:D7 S *-::9"9F(>+-<#), ( +, 'ZF(>-*407? 0F(>-0.59-(=>4F(> 9, 4":95.4 44-+, +, (), (.*( 0-I=*7:, I>F(>), (+, 7:, I-*4">/04 (-":.:(9.0Z-< (*7 B!+, F(> 2 9'%+$# R !P& ! -+, #: 4'), , .σ -( , " 6-+, 9 ), .:, * ?4- (, # P-+, Q I4, 9 $ B-+, 9 9. " % (-+, 9), , . σ ..: , *?4 -( , & B(2-+, 9), , . σ ..: , *?4 -( , ' 2-+, 9 ), (4σ 4- (, ( O-+, 9 ), , .σ4 -( , ))*)+ ,) )+ ! σ " σ ,-).+.)# σ / ))+ , 1 2 3 4 5 5 6 6 7 8 B!+, F(> P HBL9MS<9+9B+C+,D<CE>?T<=O?KU>+9E $(, , *-I(-<9-44+, 5.?0 (95:05"-?7V:<"./-9 (94-*-+, -<"7 H7%Q4 !P $&%+%+$#,($&E !6O!) V(, 4-:<9(=>4F(>µ78 +, (.0--<=4 fY@µgσ YY@µ]σ (-σ9-*9*+4++7H=5>µ.σ -90/9*7S *-9+((, . +, " , * *-I =*4" ( IF (>-(+, 7 V+./-:<"0S &h(9(h$0.09 8VW(UH7&%QR !P X$&Y(X$& !6!) S *49, *, ".<7S *=** -: D ( , " .* -+ -:" . (97844().*-:D, "-+ -+-:".(90#4B23, '7V+, F(>-+-:"52.*;, * .-, 7(943-(=47 /""0, *-:<+, 7K-<, F(>( +, "7 8 (9 8 (9 733 73 3766 3766 376O 376O B 73 B 3766 2 73 2 37OJ P 3766 P 73 J 73P J 3766 B!+, F(> J O 3766 O 3766 6 3766 6 376J 3 73 3 3766 O ) C/9*-(R9W ]7, , &&Z+&+%&XZ>W W(X =W . 8 !U H !X&X 5 3![! %&&!X&X 7H B4 . B4 7 TEST 1. One point more than 3.00 sigmas from center line. Test Failed at points: 15 V:<"(9424, F-*9* +4(=>7(>), (+, 7V:< +, "0-+, F4-:(4F (>(97 20100 1.1 1.0 0.9 Observation Number Individual Value I Chart for Weight 1 Mean=0.992 UCL=1.080 LCL=0.9038 B!+, F(> O HBL9M4>?@A BC=>CEMED<=0F<9U x \+9E x ](, , *-I(-<94, *F(>5.?0 (95-*0"-?7V:<""( => 4 , ; ; - -+, -< "7 V(=>4 x ](9(=>4F(> µ 78 (.0--<=4 fY@ µ g σ U n YY@ µ ] σ U n (- σ 9-*9*+4++.9?, ;7H =5>µ.σ-90/9*7(=>4, ; +((", *-I=*4"(I F(>-(+, 7&4F(>- 49+-<#-*9*+4F(>), (+, '7 H7%Q4 !P $&H!P= $$&(0'%+(),($'% Y*"/./(=>4, ;7!09*" = ( /, ), *5. / , ), 7H, ), *5> *0/9**4, )I*-<(/? , ;7Hµ.σ=5>-90/9*7 V+./-:<"0, &&Z+&+%&XZ5 8VW(UH7&%QR !PX$&U('%#(),($&'% C..?07S **, 9, *, "-+.<7 S *=**-:D(, ".*-+-:" =.(97844.*-:D , "-+-+=.(90#≈B23(, '7V+, F(>-+5, ;2.* ;, * , ;:, 2=7(943, ;-(=40 -"7 /""0.0;0<-:< x ](500/9*-+ 9 µ . σ 7 /"04++, (/" -I=*4"-+7 B!+, F(> 6 S ; (94=#0' 73 73 733 73P 73 732 732 732 73B 73O 736 73 376J 73B 376P B 73 73J 73J 73J 7 2 73 3766 376 733 73B P 73J 73 733 73B 3766 J 3766 733 736 376J 73 O 37OJ 733 73 732 73J 6 3766 376 73 3762 376P 3 73 73 733 73 376 376B 736 73P 732 73 376O 376O 732 733 73J 732 733 73 7B 736 B 3762 376J 73P 733 73O 2 73P 3766 733 376O 73 P 73P 73 73 73 736 J 736 736 7J 732 37O6 O 73 73 73B 376O 73O 6 73 3766 732 376P 73 3 73O 376 376B 376J 376O O ) C/ 9* - 9 ( R9 W ]27, \ ( 9 ), (*-27S ;4=4?S ==2 F(, *, ;7 C, &&Z+&+%&XZ5 ((2X#XX]X[U H!!#&=+\+ H!X&X53![! %&&!X&X\B47 H&& 5 &!5--:-:<iV:<+, (9=j5R(, RH$7 B4 B!+, F(> B3 " " -I =*4 "-+ (-:< x ](7(>-+), +, 7 +, +-0-+, -:( 4F(>7 HBL9M4>?@A BC:^39T<C<+DK,DCEF<9 V: < +, 4 F (> ./(-:< ( => x ] (7 V: <&](, 5- - =)-*9*+7&4F(>4), ( +, 4-*9*+4, ;(., . +, ."-I=*4=-+- *7 H7%Q4 !P $&H"O!"#%+%(P+(),($'% Y*"/./, *-:<+, 4-*9*+7!0 9* " = . ( , - 9 (*"97H, -9*> *0/9**4, )I*-<(/? , ;7 8(<9, I4, 9(=>4-*9* +, 7T+*, *(<&$8S NF7 0 10 20 0.95 1.00 1.05 1.10 Sample Number Sample Mean Mean=1.022 UCL=1.091 LCL=0.9531 B!+, F(> B V+./-:<&](0, &&Z+&+%&XZ H-:<&5-:<%](/, 4F(>5 --=)4#('4, ;7!499* /(<9.4(, ;, ;7&4F (>), (+, 444, ;), ( +, ."-I=*4=-+ -*7V(, 4%](-I(<(=> 44 µ % 5.+, (.0-I(< µ % ±σ % 7H=>µ % .σ % -90/9*, ;7 H7%Q4 !P $&4%)+(),($'% Y*"/./, *-:<+, 44, ;7Y" =9*(0/9*-*. 7 V+./-:<%](0, &&Z+&+%&XZE 8VW(UH7&%QR !P X$&X2%6&$#()Y($&'% C . .? 0 4 F (> -+ -:" . = < ( .?0 (7S **, 9, *, "-+.<7, ;2 .*;2=-+7C/9*( .?07 /""0.0;0<, *-:<&., *-:<%7 O ) Y"0/9*9(R9W ]27, 7F4 , ;-4*-27 / , &&Z+&+%&XZ ((2X#XX]X[U =]2\ H!X&X53![[(&!X&X_B4 H && 5 &!5 * -: < iV* 9* + 4 (9j5R(, RH$7B4 [...]... + , - + , 9 4= : I , 7 8 & " 5 4 , ( > GU+\+9 E " * ( , ; 4 4 V ( , - I , ; 4 +5 , ( 0 ( $ & F +% & Z + X !U + + (\ , &!5 * 7, - : 5 7& " * ( B47 BP B ! + , " ( > # $ UCL=15.79 15 Sample Count F 10 C=7.55 5 0 LCL=0 0 10 20 Sample Number 43 F ( "0 7 = - : ) ( , - + , 9 - +- I = * 7 =: I , ( > + , - / " 7 ) ( , + + , *= + , BJ B ! + , 0 S > F ( > G 3 , * , "9 5 , ; " , * "/ * + , 9 9 ", ; ; , * - /... P Y ; * ( : = + 9 ; ( 3 ( * 2 , = 47 / "0 " 0 ; 0< - : < ( 4, * 7 0 0 / * 9 9 " " R9 5 *0 / 9 +( +( X$ # % J e P X$ # % B 2 6 O e P B J 2 B P J O 2 P B P J 6 J O O 3 J O P B J B O P J O O J 6 6 3 2 J 3 2 B 7 T 4 ; = 4 = 4, * - 9 ;( 3 + , + E / " 4 ? 7# = *' 6 6 3 6 O 2 P B P 2 2 2 3 23 B ! + , C 2 " F 27 T 4 = 9 ; 4, 7 / " , - : < - / /( = 27 / 4 " 0 0 - : - + - 5 4 - : < S * "- * 4 4 , > , " ? 7 S ; "5 23 , > , " ? ; - + , , > =< " * * "5 * ( "7 T 4 = , > =< 9 ; , ; "7 / "0 " 0 ; 0< - : < F ( > 4 7# = " R9 5 * 0 / *' 9 < N B %' % R%(N!&& " & 7T 4 " 0 /9 * 4 3 , ;5 , ; ,... L = X$ # % e A e ( !& O 6 3 B 2 6 6 B3 B B O 3 O B J B B J P 2 B P O ; / 0 / * 9 / * 9 2 7 ( > J O BB B2 BP BJ BO B6 23 P 6 O 4 + -Z 9 0 / + -Z - + ( ( = : I9 , (/ 7 ( / , 9 4 , 9 ( / 4 -Z 7 S ; , * -Z / - 3G > + ( , B2 B ! + , H BL 9 M4> A ?@ B C Bb O:; ^ = 49 D`?b < V : < , ( , ; 4 +... " - ( 2 8 4 4 * / , 9 "4 * ( ; 9 , * ( > 4 , " = " ( ;V + , 7 ( 5 > / ; " ( O " * " (; 0 ; 0< - : < : "4 * 4 9 " =" , = * ( > >3 ≤ ≤ 5 f Y / " = ) 9 5 Y Y / =) 3 ( Y Y < = > / 9 0 / * , ;7 9 ? , ;7 4f Y9 4 37 H H 7 %Q4 !P F 6 6 J 7, 7 & , ; , " "4 * 9 " =" " =" 9 9 =< ( ; 7 " 3G - * 4 2 " =", ; - "7 / "0 " (; 7 3 J B J B J 2 2 P " (; 9 " "4 * 9 F J B O 2 ( * @ & &Z + & +% & Z 3 X 8 !U C 9... B 2 P J O 6 3 +? F 9 P 7# 9 L O 276P 276O 2766 P73 P73 276O 276J P73 2766 276O + ( > O3 OP J2 O OB JB O O3 O O3 O O - : / D ( > ) ( , + , 7 ( ( / : < ( => ( 9 4 / ( " EH 5 - : " 0 " # " * / = " , 4 4 , *9 7 ( B C 9 7, ' d d P733 P73 P73 P73 P732 P73 276P P73 P73 2762 # P73 P73 P733 P73 2766 P73B 2766 P73B 276J P73J . - + - 9. - :D - I? 4 4 +, .0<.7V:<+, - 0 - +F(>79= 4 - :<00/9* - 9 - . - :<00/9* ?*?#0/9* - ,. (=>. 4 ,*F (>"" ;4 9* 4 4 +, "* - 4 = 4 , *F (>7 V+"0,* - :<+, 5F 4 - :( 4 F(>/ - 9",. *F (>7 V+"0,* - :<+, 5F 4 - :( 4 F(>/ - 9", ; - +, -& lt;"5 - - I( - ?. - ./7V(,