Trabajo de Calidad ( Carta _x_barra y Carta _s_barra )Andres Camilo Rodrguez
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FACTORES PARA ELABORAR CARTAS DE CONTROL Carta para desviaciones es Factores para lím A2 A3 c4 1 /c4 B3 B4 2 1.880 2.659 0.7979 1.2533 0 3.267 3 1.023 1.954 0.8862 1.1284 0 2.568 4 0.729 1.628 0.9213 1.0854 0 2.266 5 0.577 1.427 0.9400 1.0638 0 2.089 6 0.483 1.287 0.9515 1.0510 0.030 1.970 7 0.419 1.182 0.9594 1.0423 0.118 1.882 8 0.373 1.099 0.9650 1.0363 0.185 1.815 9 0.337 1.032 0.9693 1.0317 0.239 1.761 10 0.308 0.975 0.9727 1.0281 0.284 1.716 11 0.285 0.927 0.9754 1.0252 0.321 1.679 12 0.266 0.886 0.9776 1.0229 0.354 1.646 13 0.249 0.850 0.9794 1.0210 0.382 1.618 14 0.235 0.817 0.9810 1.0194 0.406 1.594 15 0.223 0.789 0.9823 1.0180 0.428 1.572 16 0.212 0.763 0.9835 1.0168 0.448 1.552 17 0.203 0.739 0.9845 1.0157 0.466 1.534 18 0.194 0.718 0.9854 1.0148 0.482 1.518 19 0.187 0.698 0.9862 1.0140 0.497 1.503 20 0.180 0.680 0.9869 1.0133 0.510 1.490 21 0.173 0.663 0.9876 1.0126 0.523 1.477 22 0.167 0.647 0.9882 1.0119 0.534 1.466 23 0.162 0.633 0.9887 1.0114 0.545 1.455 24 0.157 0.619 0.9892 1.0109 0.555 1.445 25 0.153 0.606 0.9896 1.0105 0.565 1.435 Observaci ones en la muestra, n Carta para promedios Factores para límites de control Factores para línea central
description
Cartas de control de calidad
Transcript of Trabajo de Calidad ( Carta _x_barra y Carta _s_barra )Andres Camilo Rodrguez
Hoja2
FACTORES PARA ELABORAR CARTAS DE CONTROL
Observaciones en la muestra, nCarta para promediosCarta para desviaciones estndarCarta para rangos
Factores para lmites de controlFactores para lnea centralFactores para lmites de controlFactores para lnea centralFactores para lmites de control
A2A3c41 /c4B3B4B5B6d21 /d2d3D3D4
21.8802.6590.79791.253303.26702.6061.1280.88650.85303.26731.0231.9540.88621.128402.56802.2761.6930.59070.88802.57440.7291.6280.92131.085402.26602.0882.0590.48570.88002.28250.5771.4270.94001.063802.08901.9642.3260.42990.86402.114
60.4831.2870.95151.05100.0301.9700.0291.8742.5340.39460.84802.00470.4191.1820.95941.04230.1181.8820.1131.8062.7040.36980.8330.0761.92480.3731.0990.96501.03630.1851.8150.1791.7512.8470.35120.8200.1361.86490.3371.0320.96931.03170.2391.7610.2321.7072.9700.33670.8080.1841.816100.3080.9750.97271.02810.2841.7160.2761.6693.0780.32490.7970.2231.777
110.2850.9270.97541.02520.3211.6790.3131.6373.1730.31520.7870.2561.744120.2660.8860.97761.02290.3541.6460.3461.6103.2580.30690.7780.2831.717130.2490.8500.97941.02100.3821.6180.3741.5853.3360.29980.7700.3071.693140.2350.8170.98101.01940.4061.5940.3991.5633.4070.29350.7630.3281.672150.2230.7890.98231.01800.4281.5720.4211.5443.4720.28800.7560.3471.653
160.2120.7630.98351.01680.4481.5520.4401.5263.5320.28310.7500.3631.637170.2030.7390.98451.01570.4661.5340.4581.5113.5880.27870.7440.3781.622180.1940.7180.98541.01480.4821.5180.4751.4963.6400.27470.7390.3911.608190.1870.6980.98621.01400.4971.5030.4901.4833.6890.27110.7340.4031.597200.1800.6800.98691.01330.5101.4900.5041.4703.7350.26770.7290.4151.585
210.1730.6630.98761.01260.5231.4770.5161.4593.7780.26470.7240.4251.575220.1670.6470.98821.01190.5341.4660.5281.4483.8190.26180.7200.4341.566230.1620.6330.98871.01140.5451.4550.5391.4383.8580.25920.7160.4431.557240.1570.6190.98921.01090.5551.4450.5491.4293.8950.25670.7120.4511.548250.1530.6060.98961.01050.5651.4350.5591.4203.9310.25440.7080.4594.541
TABLA #1
INFORMACION PARA LAS GRAFICASSungrupo NMUESTRAX-barraRango - RDesv. Standard (s)Desv. StandardCARTA X-BARRA (via s)CARTA sCARTA RANGO R1234Con FormulaCon funcionUCLLinea CentralLCLUCLLinea CentralLCLUCLLinea CentralLCL1459449435450448.25248.58414235679.91211380080.000448.688436.28017.26957.62120.00037.99516.65002443440442442441.7531.08972473591.2583057392461.095448.688436.28017.26957.62120.00037.99516.65003457444449444448.5135.31507290646.1373175465461.095448.688436.28017.26957.62120.00037.99516.65004469463453438455.753111.734031702713.5492927245461.095448.688436.28017.26957.62120.00037.99516.65005443457445454449.75145.88960949476.8007352544461.095448.688436.28017.26957.62120.00037.99516.65006444456456457453.25135.35607132146.1846584384461.095448.688436.28017.26957.62120.00037.99516.65007445449450445447.2552.27760839482.6299556397461.095448.688436.28017.26957.62120.00037.99516.65008446455449452450.593.35410196623.8729833462461.095448.688436.28017.26957.62120.00037.99516.65009444452457440448.25176.64736790027.6757192931461.095448.688436.28017.26957.62120.00037.99516.650010432463463443450.253113.329947486815.3920975395461.095448.688436.28017.26957.62120.00037.99516.650011445452453438447156.04152298686.9761498455461.095448.688436.28017.26957.62120.00037.99516.650012456457436457451.5218.958236433610.3440804328461.095448.688436.28017.26957.62120.00037.99516.650013459445441447448186.70820393257.7459666924461.095448.688436.28017.26957.62120.00037.99516.650014441465438450448.52710.512.124355653461.095448.688436.28017.26957.62120.00037.99516.650015460453457438452228.45576726269.7638790106461.095448.688436.28017.26957.62120.00037.99516.650016453444451435445.75187.04893608998.139410298461.095448.688436.28017.26957.62120.00037.99516.650017451460450457454.5104.15331193154.7958315233461.095448.688436.28017.26957.62120.00037.99516.650018422431437429429.75155.35607132146.1846584384461.095448.688436.28017.26957.62120.00037.99516.650019444446448467451.25239.202581159710.6262254195461.095448.688436.28017.26957.62120.00037.99516.650020450450454454452422.3094010768461.095448.688436.28017.26957.62120.00037.99516.6500448.687516.656.60011546927.6211568856
Limites para la carta X-BARRA461.095 A3 =1.628Limites para la carta X-BARRA460.825448.688A2 =0.729 Para n = 4 448.688436.280436.550
Limites para la carta s17.2695 B4 =2.266Limites para la carta R 37.9957.6212D4 =2.282 Para n = 4B3 =0 16.6500.000 0D3 =0.000 La divisin de ingeniera decide tomar datos sobre 10 subgrupos adicionales del espesorde la capa. D) Grafique estos datos dentro de los lmites de control que encontr en elpunto A), est el proceso bajo control estadstico de calidad?. Porqu?.Ver tabla siguiente para los 10 subgrupos racionales adicionales.
Sungrupo NMUESTRA123414544494434612449441444455344244244245044434524384305446459457457645444844546274584494534388450449445451944344044345110457450452437
CARTA_R1
tabla 2
Sungrupo NMUESTRAX-barraRango - RDesv. Standard (s)Desv. StandardCarta Rango RCARTA_X_BARRA1234Con FormulaCon funcionUCLLINEA CENTRALLCLUCLLINEA CENTRALLCL1459449435450448.25248.58414235679.912113800837.995316.650460.82535448.6875436.549652443440442442441.7531.08972473591.258305739237.995316.650460.82535448.6875436.549653457444449444448.5135.31507290646.137317546537.995316.650460.82535448.6875436.549654469463453438455.753111.734031702713.549292724537.995316.650460.82535448.6875436.549655443457445454449.75145.88960949476.800735254437.995316.650460.82535448.6875436.549656444456456457453.25135.35607132146.184658438437.995316.650460.82535448.6875436.549657445449450445447.2552.27760839482.629955639737.995316.650460.82535448.6875436.549658446455449452450.593.35410196623.872983346237.995316.650460.82535448.6875436.549659444452457440448.25176.64736790027.675719293137.995316.650460.82535448.6875436.5496510432463463443450.253113.329947486815.392097539537.995316.650460.82535448.6875436.5496511445452453438447156.04152298686.976149845537.995316.650460.82535448.6875436.5496512456457436457451.5218.958236433610.344080432837.995316.650460.82535448.6875436.5496513459445441447448186.70820393257.745966692437.995316.650460.82535448.6875436.5496514441465438450448.52710.512.12435565337.995316.650460.82535448.6875436.5496515460453457438452228.45576726269.763879010637.995316.650460.82535448.6875436.5496516453444451435445.75187.04893608998.13941029837.995316.650460.82535448.6875436.5496517451460450457454.5104.15331193154.795831523337.995316.650460.82535448.6875436.5496518422431437429429.75155.35607132146.184658438437.995316.650460.82535448.6875436.5496519444446448467451.25239.202581159710.626225419537.995316.650460.82535448.6875436.5496520450450454454452422.309401076837.995316.650460.82535448.6875436.54965448.687516.656.60011546927.6211568856
limites para la carta R =37.9953D4 =2.282para n= 416.65
0D3=0
limites para la carta X_BARRA460.82535A2=0.729para n = 4448.6875
436.54965
carta x_barra1
TABLA 3
Sungrupo NMUESTRAX-barraRango - RDesv. Standard (s)Desv. StandardCarta Rango RCARTA_X_BARRA1234Con FormulaCon funcionUCLLINEA CENTRALLCLUCLLINEA CENTRALLCL1459449435450448.25248.58414235679.912113800837.232631578916.31578947370460.4468421053448.5526315789436.65842105262443440442442441.7531.08972473591.258305739237.232631578916.31578947370460.4468421053448.5526315789436.65842105263457444449444448.5135.31507290646.137317546537.232631578916.31578947370460.4468421053448.5526315789436.65842105264469463453438455.753111.734031702713.549292724537.232631578916.31578947370460.4468421053448.5526315789436.65842105265443457445454449.75145.88960949476.800735254437.232631578916.31578947370460.4468421053448.5526315789436.65842105266444456456457453.25135.35607132146.184658438437.232631578916.31578947370460.4468421053448.5526315789436.65842105267445449450445447.2552.27760839482.629955639737.232631578916.31578947370460.4468421053448.5526315789436.65842105268446455449452450.593.35410196623.872983346237.232631578916.31578947370460.4468421053448.5526315789436.65842105269444452457440448.25176.64736790027.675719293137.232631578916.31578947370460.4468421053448.5526315789436.658421052610432463463443450.253113.329947486815.392097539537.232631578916.31578947370460.4468421053448.5526315789436.658421052611445452453438447156.04152298686.976149845537.232631578916.31578947370460.4468421053448.5526315789436.658421052612456457436457451.5218.958236433610.344080432837.232631578916.31578947370460.4468421053448.5526315789436.658421052613459445441447448186.70820393257.745966692437.232631578916.31578947370460.4468421053448.5526315789436.658421052614441465438450448.52710.512.12435565337.232631578916.31578947370460.4468421053448.5526315789436.658421052615460453457438452228.45576726269.763879010637.232631578916.31578947370460.4468421053448.5526315789436.658421052616453444451435445.75187.04893608998.13941029837.232631578916.31578947370460.4468421053448.5526315789436.658421052617451460450457454.5104.15331193154.795831523337.232631578916.31578947370460.4468421053448.5526315789436.658421052618422431437429429.75155.35607132146.184658438437.232631578916.31578947370460.4468421053448.5526315789436.658421052619450450454454452422.309401076837.232631578916.31578947370460.4468421053448.5526315789436.6584210526448.552631578916.31578947376.46314359077.4629953838
ELIMINAMOS EL PUNTO #19
limites para la carta R =37.2326315789D4 =2.282para n= 416.3157894737
0D3=0
limites para la carta X_BARRA460.4468421053A2=0.729para n = 4448.5526315789
436.6584210526
CARTA X_BARRA2
TABLA 4
Sungrupo NMUESTRAX-barraRango - RDesv. Standard (s)Desv. StandardCarta Rango RCARTA_X_BARRA1234Con FormulaCon funcionUCLLINEA CENTRALLCLUCLLINEA CENTRALLCL1459449435450448.25248.58414235679.912113800838.794170460.7541111111448.3611111111435.96811111112443440442442441.7531.08972473591.258305739238.794170460.7541111111448.3611111111435.96811111113457444449444448.5135.31507290646.137317546538.794170460.7541111111448.3611111111435.96811111114469463453438455.753111.734031702713.549292724538.794170460.7541111111448.3611111111435.96811111115443457445454449.75145.88960949476.800735254438.794170460.7541111111448.3611111111435.96811111116444456456457453.25135.35607132146.184658438438.794170460.7541111111448.3611111111435.96811111117445449450445447.2552.27760839482.629955639738.794170460.7541111111448.3611111111435.96811111118446455449452450.593.35410196623.872983346238.794170460.7541111111448.3611111111435.96811111119444452457440448.25176.64736790027.675719293138.794170460.7541111111448.3611111111435.968111111110432463463443450.253113.329947486815.392097539538.794170460.7541111111448.3611111111435.968111111111445452453438447156.04152298686.976149845538.794170460.7541111111448.3611111111435.968111111112456457436457451.5218.958236433610.344080432838.794170460.7541111111448.3611111111435.968111111113459445441447448186.70820393257.745966692438.794170460.7541111111448.3611111111435.968111111114441465438450448.52710.512.12435565338.794170460.7541111111448.3611111111435.968111111115460453457438452228.45576726269.763879010638.794170460.7541111111448.3611111111435.968111111116453444451435445.75187.04893608998.13941029838.794170460.7541111111448.3611111111435.968111111117451460450457454.5104.15331193154.795831523338.794170460.7541111111448.3611111111435.968111111118422431437429429.75155.35607132146.184658438438.794170460.7541111111448.3611111111435.9681111111448.3611111111176.71109601247.7493061787
limites para la carta R =38.794D4 =2.282para n= 417
0D3=0
limites para la carta X_BARRA460.7541111111A2=0.729para n = 4448.3611111111
435.9681111111
CARTA_X_BARRA 3
TABLA
Sungrupo NMUESTRAX-barraRango - RDesv. Standard (s)Desv. StandardCarta Rango RCARTA_X_BARRA1234Con FormulaCon funcionUCLLINEA CENTRALLCLUCLLINEA CENTRALLCL1459449435450448.25248.58414235679.912113800839.062470588217.11764705880461.9346470588449.4558823529436.97711764712443440442442441.7531.08972473591.258305739239.062470588217.11764705880461.9346470588449.4558823529436.97711764713457444449444448.5135.31507290646.137317546539.062470588217.11764705880461.9346470588449.4558823529436.97711764714469463453438455.753111.734031702713.549292724539.062470588217.11764705880461.9346470588449.4558823529436.97711764715443457445454449.75145.88960949476.800735254439.062470588217.11764705880461.9346470588449.4558823529436.97711764716444456456457453.25135.35607132146.184658438439.062470588217.11764705880461.9346470588449.4558823529436.97711764717445449450445447.2552.27760839482.629955639739.062470588217.11764705880461.9346470588449.4558823529436.97711764718446455449452450.593.35410196623.872983346239.062470588217.11764705880461.9346470588449.4558823529436.97711764719444452457440448.25176.64736790027.675719293139.062470588217.11764705880461.9346470588449.4558823529436.977117647110432463463443450.253113.329947486815.392097539539.062470588217.11764705880461.9346470588449.4558823529436.977117647111445452453438447156.04152298686.976149845539.062470588217.11764705880461.9346470588449.4558823529436.977117647112456457436457451.5218.958236433610.344080432839.062470588217.11764705880461.9346470588449.4558823529436.977117647113459445441447448186.70820393257.745966692439.062470588217.11764705880461.9346470588449.4558823529436.977117647114441465438450448.52710.512.12435565339.062470588217.11764705880461.9346470588449.4558823529436.977117647115460453457438452228.45576726269.763879010639.062470588217.11764705880461.9346470588449.4558823529436.977117647116453444451435445.75187.04893608998.13941029839.062470588217.11764705880461.9346470588449.4558823529436.977117647117451460450457454.5104.15331193154.795831523339.062470588217.11764705880461.9346470588449.4558823529436.9771176471449.455882352917.11764705886.79080334727.8413442811
YA HEMOS ELIMINADO EL PUNTO # 18
limites para la carta R =39.0624705882D4 =2.282para n= 417.1176470588
0D3=0
limites para la carta X_BARRA461.9346470588A2=0.729para n = 4449.4558823529
436.9771176471
CARTA _X BARRA FINALCOMO PODEMOS VER EL PROCESO YA SE ENCUENTRA BAJO CONTROL
carta_s1DATOS DE LA TABLA NUMERO 1COMO PODEMOS VER EL PROCESO YA SE ENCUENTRA BAJO CONTROL
tabla con nuevos datos
Sungrupo NMUESTRAX-barraRango - RDesv. Standard (s)Desv. StandardCARTA X-BARRA (via s)CARTA sCARTA RANGO R1234Con FormulaCon funcionUCLLinea CentralLCLUCLLinea CentralLCLUCLLinea CentralLCL1459449435450448.25248.58414235679.9121138008460.319448.533448.53316.40487.23950.00036.66416.0670.0002443440442442441.7531.08972473591.2583057392460.319448.533448.53316.40487.23950.00036.66416.0670.0003457444449444448.5135.31507290646.1373175465460.319448.533448.53316.40487.23950.00036.66416.0670.0004469463453438455.753111.734031702713.5492927245460.319448.533448.53316.40487.23950.00036.66416.0670.0005443457445454449.75145.88960949476.8007352544460.319448.533448.53316.40487.23950.00036.66416.0670.0006444456456457453.25135.35607132146.1846584384460.319448.533448.53316.40487.23950.00036.66416.0670.0007445449450445447.2552.27760839482.6299556397460.319448.533448.53316.40487.23950.00036.66416.0670.0008446455449452450.593.35410196623.8729833462460.319448.533448.53316.40487.23950.00036.66416.0670.0009444452457440448.25176.64736790027.6757192931460.319448.533448.53316.40487.23950.00036.66416.0670.00010432463463443450.253113.329947486815.3920975395460.319448.533448.53316.40487.23950.00036.66416.0670.00011445452453438447156.04152298686.9761498455460.319448.533448.53316.40487.23950.00036.66416.0670.00012456457436457451.5218.958236433610.3440804328460.319448.533448.53316.40487.23950.00036.66416.0670.00013459445441447448186.70820393257.7459666924460.319448.533448.53316.40487.23950.00036.66416.0670.00014441465438450448.52710.512.124355653460.319448.533448.53316.40487.23950.00036.66416.0670.00015460453457438452228.45576726269.7638790106460.319448.533448.53316.40487.23950.00036.66416.0670.00016453444451435445.75187.04893608998.139410298460.319448.533448.53316.40487.23950.00036.66416.0670.00017451460450457454.5104.15331193154.7958315233460.319448.533448.53316.40487.23950.00036.66416.0670.00018422431437429429.75155.35607132146.1846584384460.319448.533448.53316.40487.23950.00036.66416.0670.00019444446448467451.25239.202581159710.6262254195460.319448.533448.53316.40487.23950.00036.66416.0670.00020450450454454452422.3094010768460.319448.533448.53316.40487.23950.00036.66416.0670.00021454449443461451.75186.60965203327.6321687612460.319448.533448.53316.40487.23950.00036.66416.0670.00022449441444455447.25145.30919014546.1305247192460.319448.533448.53316.40487.23950.00036.66416.0670.0002344244244245044483.46410161514460.319448.533448.53316.40487.23950.00036.66416.0670.00024443452438430440.75227.98044484989.2150239645460.319448.533448.53316.40487.23950.00036.66416.0670.00025446459457457454.75135.11737237265.9090326337460.319448.533448.53316.40487.23950.00036.66416.0670.00026454448445462452.25176.49519052847.5460.319448.533448.53316.40487.23950.00036.66416.0670.00027458449453438449.5207.36545993138.5049005481460.319448.533448.53316.40487.23950.00036.66416.0670.00028450449445451448.7562.27760839482.6299556397460.319448.533448.53316.40487.23950.00036.66416.0670.00029443440443451444.25114.08503365964.716990566460.319448.533448.53316.40487.23950.00036.66416.0670.00030457450452437449207.38241153018.5244745684460.319448.533448.53316.40487.23950.00036.66416.0670.000448.533333333316.06666666676.26962581487.2395403038
Limites para la carta X-BARRA460.319 A3 =1.628Limites para la carta X-BARRA460.246448.533A2 =0.729 Para n = 4 448.533448.533436.821
Limites para la carta s16.4048 B4 =2.266Limites para la carta R 36.6647.2395D4 =2.282 Para n = 4B3 =0 16.0670.000 0D3 =0.000
carta Rel proceso esta bajo control estadistico
tabla 2
Sungrupo NMUESTRAX-barraRango - RDesv. Standard (s)Desv. StandardCARTA RANGO RCARTA X BARRA1234Con FormulaCon funcionUCLLINEA CENTRALLCLUCLLINEA CENTRALLCL1459449435450448.25248.58414235679.912113800836.664133333316.06666666670460.2459333333448.5333333333436.82073333332443440442442441.7531.08972473591.258305739236.664133333316.06666666670460.2459333333448.5333333333436.82073333333457444449444448.5135.31507290646.137317546536.664133333316.06666666670460.2459333333448.5333333333436.82073333334469463453438455.753111.734031702713.549292724536.664133333316.06666666670460.2459333333448.5333333333436.82073333335443457445454449.75145.88960949476.800735254436.664133333316.06666666670460.2459333333448.5333333333436.82073333336444456456457453.25135.35607132146.184658438436.664133333316.06666666670460.2459333333448.5333333333436.82073333337445449450445447.2552.27760839482.629955639736.664133333316.06666666670460.2459333333448.5333333333436.82073333338446455449452450.593.35410196623.872983346236.664133333316.06666666670460.2459333333448.5333333333436.82073333339444452457440448.25176.64736790027.675719293136.664133333316.06666666670460.2459333333448.5333333333436.820733333310432463463443450.253113.329947486815.392097539536.664133333316.06666666670460.2459333333448.5333333333436.820733333311445452453438447156.04152298686.976149845536.664133333316.06666666670460.2459333333448.5333333333436.820733333312456457436457451.5218.958236433610.344080432836.664133333316.06666666670460.2459333333448.5333333333436.820733333313459445441447448186.70820393257.745966692436.664133333316.06666666670460.2459333333448.5333333333436.820733333314441465438450448.52710.512.12435565336.664133333316.06666666670460.2459333333448.5333333333436.820733333315460453457438452228.45576726269.763879010636.664133333316.06666666670460.2459333333448.5333333333436.820733333316453444451435445.75187.04893608998.13941029836.664133333316.06666666670460.2459333333448.5333333333436.820733333317451460450457454.5104.15331193154.795831523336.664133333316.06666666670460.2459333333448.5333333333436.820733333318422431437429429.75155.35607132146.184658438436.664133333316.06666666670460.2459333333448.5333333333436.820733333319444446448467451.25239.202581159710.626225419536.664133333316.06666666670460.2459333333448.5333333333436.820733333320450450454454452422.309401076836.664133333316.06666666670460.2459333333448.5333333333436.820733333321454449443461451.75186.60965203327.632168761236.664133333316.06666666670460.2459333333448.5333333333436.820733333322449441444455447.25145.30919014546.130524719236.664133333316.06666666670460.2459333333448.5333333333436.82073333332344244244245044483.4641016151436.664133333316.06666666670460.2459333333448.5333333333436.820733333324443452438430440.75227.98044484989.215023964536.664133333316.06666666670460.2459333333448.5333333333436.820733333325446459457457454.75135.11737237265.909032633736.664133333316.06666666670460.2459333333448.5333333333436.820733333326454448445462452.25176.49519052847.536.664133333316.06666666670460.2459333333448.5333333333436.820733333327458449453438449.5207.36545993138.504900548136.664133333316.06666666670460.2459333333448.5333333333436.820733333328450449445451448.7562.27760839482.629955639736.664133333316.06666666670460.2459333333448.5333333333436.820733333329443440443451444.25114.08503365964.71699056636.664133333316.06666666670460.2459333333448.5333333333436.820733333330457450452437449207.38241153018.524474568436.664133333316.06666666670460.2459333333448.5333333333436.8207333333448.533333333316.06666666676.26962581487.2395403038
limites para la carta R =36.6641333333D4 =2.282para n= 416.0666666667
0D3=0
limites para la carta X_BARRA460.2459333333A2=0.729para n = 4448.5333333333
436.8207333333
CARTA X_BARRA 1
tabla x 3
Sungrupo NSungrupo NMUESTRAX-barraRango - RDesv. Standard (s)Desv. StandardCARTA RANGO RCARTA X BARRA1234Con FormulaCon funcionUCLLINEA CENTRALLCLUCLLINEA CENTRALLCL11459449435450448.25248.58414235679.912113800836.748068965516.10344827590460.9204482759449.1810344828437.441620689722443440442442441.7531.08972473591.258305739236.748068965516.10344827590460.9204482759449.1810344828437.441620689733457444449444448.5135.31507290646.137317546536.748068965516.10344827590460.9204482759449.1810344828437.441620689744469463453438455.753111.734031702713.549292724536.748068965516.10344827590460.9204482759449.1810344828437.441620689755443457445454449.75145.88960949476.800735254436.748068965516.10344827590460.9204482759449.1810344828437.441620689766444456456457453.25135.35607132146.184658438436.748068965516.10344827590460.9204482759449.1810344828437.441620689777445449450445447.2552.27760839482.629955639736.748068965516.10344827590460.9204482759449.1810344828437.441620689788446455449452450.593.35410196623.872983346236.748068965516.10344827590460.9204482759449.1810344828437.441620689799444452457440448.25176.64736790027.675719293136.748068965516.10344827590460.9204482759449.1810344828437.44162068971010432463463443450.253113.329947486815.392097539536.748068965516.10344827590460.9204482759449.1810344828437.44162068971111445452453438447156.04152298686.976149845536.748068965516.10344827590460.9204482759449.1810344828437.44162068971212456457436457451.5218.958236433610.344080432836.748068965516.10344827590460.9204482759449.1810344828437.44162068971313459445441447448186.70820393257.745966692436.748068965516.10344827590460.9204482759449.1810344828437.44162068971414441465438450448.52710.512.12435565336.748068965516.10344827590460.9204482759449.1810344828437.44162068971515460453457438452228.45576726269.763879010636.748068965516.10344827590460.9204482759449.1810344828437.44162068971616453444451435445.75187.04893608998.13941029836.748068965516.10344827590460.9204482759449.1810344828437.44162068971717451460450457454.5104.15331193154.795831523336.748068965516.10344827590460.9204482759449.1810344828437.44162068972018444446448467451.25239.202581159710.626225419536.748068965516.10344827590460.9204482759449.1810344828437.44162068972119450450454454452422.309401076836.748068965516.10344827590460.9204482759449.1810344828437.44162068972220454449443461451.75186.60965203327.632168761236.748068965516.10344827590460.9204482759449.1810344828437.44162068972321449441444455447.25145.30919014546.130524719236.748068965516.10344827590460.9204482759449.1810344828437.4416206897242244244244245044483.4641016151436.748068965516.10344827590460.9204482759449.1810344828437.44162068972523443452438430440.75227.98044484989.215023964536.748068965516.10344827590460.9204482759449.1810344828437.44162068972624446459457457454.75135.11737237265.909032633736.748068965516.10344827590460.9204482759449.1810344828437.44162068972725454448445462452.25176.49519052847.536.748068965516.10344827590460.9204482759449.1810344828437.44162068972826458449453438449.5207.36545993138.504900548136.748068965516.10344827590460.9204482759449.1810344828437.44162068972927450449445451448.7562.27760839482.629955639736.748068965516.10344827590460.9204482759449.1810344828437.44162068973028443440443451444.25114.08503365964.71699056636.748068965516.10344827590460.9204482759449.1810344828437.441620689729457450452437449207.38241153018.524474568436.748068965516.10344827590460.9204482759449.1810344828437.4416206897449.181034482816.10344827596.30112769397.2759155405
limites para la carta R =36.7480689655D4 =2.282para n= 416.1034482759
0D3=0
limites para la carta X_BARRA460.9204482759A2=0.729para n = 4449.1810344828
437.4416206897
carta x barra 2como se ve el proceso ya esta bajo control
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