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8 7#"&9#-*"%:'#*)-+-6"%+")"%'(%8)-*$% Resumen para CUMPLIMIENTO EN LOS TIEMPOS DE,8,6,4 3, Intervalos de confianza de 95% Prueba de normalidad de A nderson-darling A -cuadrado,4 Valor P,337 Media,695 Desv.Est.,779 V arianza,5974 A simetría,755 Kurtosis -,5873 N 7 Mínimo,6 er cuartil, Mediana,75 3er cuartil,3333 Máximo 3,4 Intervalo de confianza de 95% para la media,3893,8 Intervalo de confianza de 95% para la mediana,386, Interv alo de confianza de 95% para la desviación estándar,687,59 Media Mediana,,4,6,8, % % );'<"%&'%=$)>"(-&"&?% Y,/, *+ 8(9(:4:;? 5"#$%(<9:4==>()(.*(<( 3+34*5/ *( 4) <,6) F5)6>/53) <(4 -;6/53 )57*(+ *+, <5)6/5A*35>+ +/-,4' Y/ 6,+6 )(.*(<( F,3(/ *+,+G45)5) <( 3,.,35<,< <(./3()A,),<(+()6(65.<(<5)6/5A*35>+' Gráfica de probabilidad de CUMPLIMIENTO EN LOS TIEMPOS DE Normal Porcentaje Media,695 Desv.Est.,779 N 7 AD,4 Valor P,337 5,%,%,% 3,% CUMPLIMIENTO EN LOS TIEMPOS 4,% D+4,7()65>+<()*)./?(36)4,(-./(),3'()*%+,3*+<.'9)(3+)5<(/,*((4:,4/ 5<(,4.,/,(43*-.45-5(+6(+4)65(-.)<((=(3*35>+()<(&'#9.(/96(+5(+<(+3*(+6, *(./,47*+,)3,*),),)35,<,),,36/()(H6(/+)3-345(+6()?./:((</()9<(A( )(/.(/-5)5A4(*++5:(4<(3*-.45-5(+6F,)6,(+*+&'"9./46,+6)(*6545C,/G()6(:,4/ ( )*.(/5/ <( ().(3553,35>+ MKDLQ9-5(+6/,) *(.,/, ( ( 5+(/5/ <( ().(3553,35>+MKPLQ9)(.</8,<(35/*(9(+4,./G3653,+(H5)6(+5+7e+:,4/,)35,<, ()6(3+3(.69.*()(+6/(-(+/)(,()(:,4/9-(=/)(/G(4<()(-.(R<(4)./?(36) (+3*,+6,43*-.45-5(+6(+4)65(-.)<((=(3*35>+'

9 K)/()*46,<)<(4,+G45)5)<(3,.,35<,<<(./3())(./()(+6,+,3+65+*,35>+' Procesar datos LEI * O bjetiv o * LES,3 Media de la muestra,6956 Número de muestra 7 Desv.Est. (Dentro), Desv.Est. (General),77895 LES Dentro de General C apacidad (dentro) del potencial Z.Bench -,67 Z.LEI * Z.LES -,67 C pk -, C apacidad general Z.Bench -,5 Z.LEI * Z.LES -,5 Ppk -,7 C pm * -,,8,6,4 3, Desempeño observ ado PPM < LEI * PPM > LES ,67 PPM Total ,67 Exp. Dentro del rendimiento PPM < LEI * PPM > LES ,36 PPM Total ,36 Exp. Rendimiento general PPM < LEI * PPM > LES ,4 PPM Total ,4 N(,3*(/<,4)/()*46,<)A6(+5<)9(4+5:(4<()57-,<(4./3()()&'#'N(,3*(/<,4,+6(/5/? 6(+5(+< (+ 3*(+6, 4) :,4/() <( )( (:5<(+35, *( 4, (-./(), 3'()*%+,3 *+<. <(A( /(,45C,/()*(/C)5-./6,+6() /5(+6,<),-(=/,/9 6,+6(4 3(+6/,< <(4./3() 3-4, <5).(/)5>+ <(4-5)-9.,/,,)8 47/,/ 3+)(7*5/ *+ A*(+ +5:(4<()57-,.,/,()6(./3()'

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12 @;>+(->-'$%'%($#%-'>+$#%&'%73'*;*-/%E#%FD'-')$%7*")D"&$% ANOVA unidireccional: CUMPLIMIENTO EN LOS TIEMPOS DE vs. INGENIERO ENCARGADO Fuente GL SC CM F P INGENIERO ENCARGADO,74,87,5,4 Error 4 3,79,575 Total 6 5,53 S =,758 R-cuad. =,% R-cuad.(ajustado) = 3,8% ICs de 95% individuales para la media basados en Desv.Est. agrupada Nivel N Media Desv.Est CARLOS BUELVAS,799,337 (------*-----) HUGO GARCIA 4,7476,484 (-----*-----) JOHN SUAREZ,8,88 ( * ) ,,7,4, Desv.Est. agrupada =,758 Prueba de igualdad de varianzas para CUMPLIMIENTO EN LOS TIEMPOS DE INGENIERO ENCARGADO CARLOS BUELVAS HUGO GARCIA JOHN SUAREZ Prueba de Bartlett Estadística de prueba 6,3 Valor P,4 Prueba de Levene Estadística de prueba 8,9 Valor P, Intervalos de confianza de Bonferroni de 95% para Desv.Est. Gráficas de residuos para CUMPLIMIENTO EN LOS TIEMPOS DE 99 Gráfica de probabilidad normal vs. ajustes Porcentaje ,9,,5 Valor ajustado,8, Histograma vs. orden Frecuencia 7,5 5,,5, -, -,5,,5,, Orden de observación 6

13 D+,+G45)5)<(:,/5,+C,-*()6/,*((4,36/5+7(+5(/(+3,/7,<+65(+(*+,5+4*(+35, /(4(:,+6()A/((43*-.45-5(+6(+4,)(3F,)<((+6/(7,'Y/6,4/,C>+9)(.*(<(5+(/5/ *((465(-.<((=(3*35>+./()(+6,(4-5)-3-./6,-5(+6.,/,6<)4)5+7(+5(/)' ANOVA unidireccional: CUMPLIMIENTO EN LOS TIEMPOS DE vs. CLIENTE Fuente GL SC CM F P CLIENTE 9 7,835,87,9,7 Error 7 7,697,453 Total 6 5,53 S =,679 R-cuad. = 5,44% R-cuad.(ajustado) = 4,% Nivel N Media Desv.Est. BAVARIA S.A. 4,9375,47 CEMENTOS ARGOS 6,4,733 CEMENTOS ARGOS - PLANTA,8 * CEMEX COLOMBIA S.A., * EMMA Y CIA S.A,8 * HOLCIM,6 * HYDRAULIC SYSTEMS S.A. 7,774,437 PIMSA S.A.,6667 * QUINTAL S.A. 4,65,846 SAINT GOBAIN DE COLOMBIA,857 * ICs de 95% individuales para la media basados en Desv.Est. agrupada Nivel BAVARIA S.A. (-----*-----) CEMENTOS ARGOS (----*---) CEMENTOS ARGOS - PLANTA ( * ) CEMEX COLOMBIA S.A. ( * ) EMMA Y CIA S.A ( * ) HOLCIM ( * ) HYDRAULIC SYSTEMS S.A. (----*---) PIMSA S.A. ( * ) QUINTAL S.A. (-----*-----) SAINT GOBAIN DE COLOMBIA ( * ) ,,,4 3,6 Desv.Est. agrupada =,679 Prueba de igualdad de varianzas para CUMPLIMIENTO EN LOS TIEMPOS DE BAVARIA S.A. CEMENTOS ARGOS CEMENTOS ARGOS - PLANTA CARIBE CEMEX COLOMBIA S.A. Prueba de Bartlett Estadística de prueba 7,58 Valor P,56 Prueba de Levene Estadística de prueba,79 Valor P,57 CLIENTE EMMA Y CIA S.A HOLCIM HYDRAULIC SYSTEMS S.A. PIMSA S.A. QUINTAL S.A. SAINT GOBAIN DE COLOMBIA S.A. 3 4 Intervalos de confianza de Bonferroni de 95% para Desv.Est. %

14 Gráficas de residuos para CUMPLIMIENTO EN LOS TIEMPOS DE 99 Gráfica de probabilidad normal vs. ajustes Porcentaje ,5,,5, Valor ajustado,5 Histograma vs. orden Frecuencia ,8 -,4,,4,8,,6, Orden de observación 6 % D4,+G45)5)<(:,/5,+C,-*()6/,*((4,36/345(+6(+7(+(/,*+,5+4*(+35,)57+553,65:, )A/((43*-.45-5(+6<(465(-.<((=(3*35>+<(4)./?(36)9./()6,/,C>+9)(.*(<( 5+(/5/ *( (4 345(+6( + () *+, 3,*),,)57+,A4( (+ (4 3-./6,-5(+6 <(4 ANOVA unidireccional: CUMPLIMIENTO EN LOS TIEMPOS DE vs. TIPO DE PROYECTO Fuente GL SC CM F P TIPO DE PROYECTO,83,83,4,46 Error 5 4,7,588 Total 6 5,53 S =,7669 R-cuad. = 5,34% R-cuad.(ajustado) =,56% ICs de 95% individuales para la media basados en Desv.Est. agrupada Nivel N Media Desv.Est MANTENIMIENTO 8,449,935 ( * ) MONTAJE 9,888,698 ( * ) ,5,4,75, Desv.Est. agrupada =,7669

15 Prueba de igualdad de varianzas para CUMPLIMIENTO EN LOS TIEMPOS DE TIPO DE PROYECTO MANTENIMIENTO MONTAJE,5,75,,5,5,75, Intervalos de confianza de Bonferroni de 95% para Desv.Est. Prueba F Estadística de prueba,8 Valor P,9 Prueba de Levene Estadística de prueba, Valor P,738 TIPO DE PROYECTO MANTENIMIENTO MONTAJE,5,,5,,5 3, CUMPLIMIENTO EN LOS TIEMPOS DE 3,5 Gráficas de residuos para CUMPLIMIENTO EN LOS TIEMPOS DE 99 Gráfica de probabilidad normal vs. ajustes Porcentaje ,4,5,6,7 Valor ajustado,8 8 Histograma vs. orden Frecuencia 6 4 -, -,5,,5,,5, Orden de observación 6 K) /()*46,<) <(4,+G45)5) <( :,/5,+C, -*()6/,+ *( (4 65. <(./?( (+( *+ 5-.,36)57+553,65:)A/((43*-.45-5(+6(+(465(-.<((=(3*35>+9./6,+6)(5+5(/( *(()6,:,/5,A4(+-<553,(43-./6,-5(+6<(4-;6/53.(/,35+,4' D+ 3+34*)5>+9 4,) 6/() :,/5,A4() 3+)5<(/,<,).,/, (4,+G45)5) + 65(+(+ *+, 5+4*(+35, *(/6()A/((43*-.45-5(+6(+4)65(-.)<((=(3*35>+<(4)./?(36)9./()6,/,C>+ )(6/,A,=,/G)A/(6/,)(+6/,<,)3/8653,)3-I-,+<(A/,9-,6(/5,4()?(*5.)93*?,) :,/5,A4(),)35,<,),4./3() <(.4,+553,35>+9 )(7*5-5(+6? 3+6/4 <(./?(36)9.*(<(+7,/,+65C,/*+-(=/<()(-.(R(+(4-;6/53.(/,35+,4'

16 L 4.(L>76&,., (4 A=(65: <( F,3(/ )(7*5-5(+6? 3+6/4 )A/( 4,),365:5<,<()? 3)6) <( 4)./?(36)9 )( <(35<5> <(5+5/? ()6,+<,/5C,/ (4./3(<5-5(+6.,/, 4,.4,+553,35>+9 )(7*5-5(+6? 3+6/4 <( 4) -5)-)9,.?,< (+ 4, 7*8,.,/, 7()65>+ <(./?(36) lyocdmn? 4, F(//,-5(+6, 5-G653, O53/)6 d53( DH3(4' D+ (4./3(<5-5(+6 )( Y/()*.*()6 ](*(/5-5(+6<(O,+<(d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i,:,+3(?<(/(6/,)<(4)./?(36)944(:,+<<(()6,-,+(/,*+ D+4,365C,35>+)(/(75)6/,+96,+64)3)6)<(4,)A/,),/(,45C,/93-4)-,6(/5,4() (-.4(,<).,/,44(:,/4,),3,A9().(3553,+<4,)3,+65<,<()/(*(/5<,).,/,3,<,*+<( (44)'D+4,365C,35>+6,-A5;+)(()6,A4(3(4,:,45<(C<(4,(/6,94,/-,<(.,7?)* /().(365:65(-.<((+6/(7,' ("%&'%"&K;-#-*-/%&'%,'*;)#$#% D+(4.4,+<(,<*5)535+())(<(5+(+6<)4)/(3*/))+(3(),/5).,/,4,(=(3*35>+<( 4,) 6,/(,)9 )( <(A( ().(3553,/ 6,+6 (4 65. MO,+ <( da/,9 O,6(/5,4()9 j(//,-5(+6,)?

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18 T 4.(T>%&'+,&*., %9W# %9## &9W# &9## #9W# #9## da=(65: \,)(& \,)(% \,)("\,)(X N(,3*(/<,47/,53<(6(+<(+35,<(4-;6/539)(.*(<(3+34*5/*(I &' D4O;6/53.(/,35+,4.,/,,)(&MN(5+5/Q?3-5(+C<(4,,)(%MO(<5/Q6*: *+ 3-./6,-5(+6 ()6,A4(?./()(+6> *+ *(/6( <()3(+),4 5+,4 <( 4,,)( %' D)6 )(.</8, (H.453,/9 (+.,/6(./ 4, 5-.4(-(+6,35>+ <(,47*+,) -(<5<,) /G.5<,).,/, (4 )(7*5-5(+6 <( 4)./3())9 3-4 *( 4, -<553,35>+ <(4 /-,6<(A56G3/,<(A/,' %' D+4,,)("MB+,45C,/Q9(4-;6/53./()(+6>*+,)3(+)./+*+35,<9<(A5<,*( (+ (4.(/5< 3-./(+<5< (+6/( 5+? 3-5(+C <(,R9 (4 /56- <( 6/,A,= 4, (=(3*35>+ <(,365:5<,<() <( -+6,=()? )(/:535) (4;36/53)9 /(,45C,<)./ 3'()*%+,3*+<.> "' \5+,4-(+6(9 (+ 4,,)( X MO(=/,/Q9 4)./5-(/) " -()() <(4 %#&%9 )( +6, *+ +*(: <()3(+) (+ (4 -;6/53.(/,35+,4? *+ 3-./6,-5(+6 ()6,A4(9 4 *( <(-*()6/,*(4,)()6/,6(75,)5+535,4()(+3,<,)(+4,.4,+553,35>+?3+6/4<( 4,),365:5<,<() <( 4)./?(36) 7(+(/,/+ /()*46,<).)565:)9? ()6 )( 3//A/, 3+ (4,+G45)5) <( 3,.,35<,< <(./3() *( )( 44(:,/G, 3,A -G),<(4,+6(' T>".CXGBOBO<@%MNMDBFMF<@8HID@OI D4,+G45)5) <( 3,.,35<,< <(./3() /(,45C,< <().*;) <( 5-.4(-(+6,<, 4,),335+() /(3-(+<,<,)9/(4(=,+*+,-(=/,96,+6(+4,-(<5,3-(+4,<():5,35>+<(4-;6/53.(/,35+,4' D+ 3*,+<, 4, -(<5,9 (4 -;6/53.,), <( &'TU, &'"9 4 *( /(./()(+6, *+ <5)-5+*35>+<(4%"i9-5(+6/,)*(4,<():5,35>+.,),<(#'VV,#'WX94*(/(./()(+6,*+ <5)-5+*35>+ <(4 /(4,35>+,4 +5:(4 <( <((36) (+ (4./3()9 )( A)(/:> *+, <5)-5+*35>+<(4YYO9.,),+<<(TUW9"VW'X%,W%%9#WX'U#943*,47(+(/,*+,*-(+6(+

19 (4+5:(4<()57-,<(4./3()9.,),+<<(&'#,&'X'D)6)/()*46,<)3+5/-,+*(94,) ()6/,6(75,)5-.4(-(+6,<,)7(+(/,/+-(=/,)(+(45+<53,</.(/,35+,4<(4./3()' Capacidad de proceso de CUMPLIMIENTO EN LOS TIEMPOS DE Procesar datos LE I * O bjetiv o * LE S,3 Media de la muestra,334 Número de muestra 3 Desv.Est. (Dentro),43 Desv.Est. (General),54344 LES Dentro de General C apacidad (dentro) del potencial Z.Bench -,7 Z.LEI * Z.LES -,7 C pk -, C apacidad general Z.Bench -,6 Z.LEI * Z.LES -,6 Ppk -, C pm *,5,,5,,5 Desempeño observado PPM < LEI * PPM > LES 46538,46 PPM Total 46538,46 Exp. Dentro del rendimiento PPM < LEI * PPM > LES 5975,96 PPM Total 5975,96 Exp. Rendimiento general PPM < LEI * PPM > LES 554,9 PPM Total 554,9 T>? =HMABDI<@%ICKHIG8MHMG7SKHBDI S(+5(+<(+3*(+6,*(4,-(<5,?<():5,35>+()6G+<,/,36*,4()<(&'"?#'WX94)45-56() <(3+6/4.,/,F,3(/)(7*5-5(+6,4-;6/53)+I 3 Gráfica Xbarra-S de CUMPLIMIENTO EN LOS TIEMPOS DE Media de la muestra LCS=,35 _ X=,3 LCI=, Muestra 8 9 3,6 Desv.Est. de la muestra,,8,4, LCS=,9 _ S=,479 LCI= Muestra Las pruebas se realizaron con tamaños de la muestra desiguales

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