Hoja3 (2)Ejercicio 3muestraobs1obs2obs3obs4obs5PromedioRangoUCLLCLCLUCLLCLCL1167.00159.60161.60164.00165.30163.57.4167.6163.2158.716.37.702156.20159.50161.70164.00185.30165.329.1167.6163.2158.716.37.703167.00162.90162.90164.00165.40164.44.1167.6163.2158.716.37.704167.00159.60163.70164.10165.40164.07.4167.6163.2158.716.37.705156.30160.00162.90164.10165.50161.89.2167.6163.2158.716.37.706164.00164.20163.00164.20163.90163.91.2167.6163.2158.716.37.707161.30163.00164.20157.00160.30161.27.2167.6163.2158.716.37.708163.10164.20156.90160.10163.10161.57.3167.6163.2158.716.37.709164.30157.00161.20163.20164.40162.07.4167.6163.2158.716.37.7010156.90161.00163.20164.30157.30160.57.4167.6163.2158.716.37.7011161.00163.30164.40157.60160.60161.46.8167.6163.2158.716.37.7012163.30164.50158.40160.10163.30161.96.1167.6163.2158.716.37.7013158.20161.30163.50164.60158.70161.36.4167.6163.2158.716.37.7014161.50163.50164.70158.60162.50162.26.1167.6163.2158.716.37.7015163.60164.80158.00162.40163.60162.56.8167.6163.2158.716.37.7016164.50158.50160.30163.40164.60162.36.1167.6163.2158.716.37.7017164.90157.90162.30163.70165.10162.87.2167.6163.2158.716.37.7018155.00162.20163.70164.80159.60161.19.8167.6163.2158.716.37.7019162.10163.90165.10159.30162.00162.55.8167.6163.2158.716.37.7020165.20159.10161.60163.90165.20163.06.1167.6163.2158.716.37.7021174.90170.00169.90177.20163.70171.113.5167.6163.2158.716.37.7022167.60165.60165.60156.70165.70164.210.9167.6163.2158.716.37.7023167.70165.80165.90156.90165.90164.410.8167.6163.2158.716.37.7024166.00166.00165.60165.60165.50165.70.5167.6163.2158.716.37.7025163.70163.70165.60165.60166.20165.02.5167.6163.2158.716.37.704079.4193.1Promedios163.27.7Calculo de los limites de control en la Grafica X-R

a) Para la mediaA2 = 0.577

UCL = 167.6LCL = 158.7

b) Para el Rango

D3 = 0D4 = 2.114

UCL = 16.3LCL = 0Calculo de los limites corregidosGrafica X-R

a) Para la mediaA = 1.342

LC = 162.8UCL = 166.8LCL = 158.9

b) Para el RangoD1 = 0D2 = 4.918

LC = 6.8UCL = 14.4LCL = 0

Calculo de la Desviacion estandar del procesod2 = 2.326

s0 = 2.938

EJERCICIO 2EJERCICIO 2 Muestra1234PROMEDIORANGOUCLxLCLxXUCLrLCLrR112.00011.97012.10012.08012.0380.13012.15111.93812.0440.33300.146211.91011.94012.10011.96011.9780.19012.15111.93812.0440.33300.146311.89012.02011.97011.99011.9680.13012.15111.93812.0440.33300.146412.79012.49012.35012.65012.5700.44012.15111.93812.0440.33300.146512.08011.92012.12012.05012.0430.20012.15111.93812.0440.33300.146611.94011.98012.06012.08012.0150.14012.15111.93812.0440.33300.146712.09012.00012.00012.03012.0300.09012.15111.93812.0440.33300.146812.01012.04011.99011.95011.9980.09012.15111.93812.0440.33300.146912.00011.96011.97012.03011.9900.07012.15111.93812.0440.33300.1461011.92011.94012.09012.00011.9880.17012.15111.93812.0440.33300.1461111.91011.99012.05012.10012.0130.19012.15111.93812.0440.33300.1461212.01012.00012.06011.97012.0100.09012.15111.93812.0440.33300.1461311.98011.99012.06012.03012.0150.08012.15111.93812.0440.33300.1461412.02012.00012.05011.95012.0050.10012.15111.93812.0440.33300.1461512.00012.05012.01011.97012.0080.08012.15111.93812.0440.33300.14612.0440.146Clculo de los lmites de control en la grafica X-RUCLx12.151UCLr0.333LCLx11.938LCLr0.000Calculo de los limites corregidosGrafica X-RX0Xnuevo12.007UCLx12.098RoRnuevo0.125LCLx11.916Calculo de la 0.061UCLr0.285LCLr0Muestra1234PROMEDIORANGOUCLxLCLxXUCLrLCLrR112.00011.97012.10012.08012.0380.13012.09811.91612.0070.28500.125211.91011.94012.10011.96011.9780.19012.09811.91612.0070.28500.125311.89012.02011.97011.99011.9680.13012.09811.91612.0070.28500.125412.08011.92012.12012.05012.0430.20012.09811.91612.0070.28500.125511.94011.98012.06012.08012.0150.14012.09811.91612.0070.28500.125612.09012.00012.00012.03012.0300.09012.09811.91612.0070.28500.125712.01012.04011.99011.95011.9980.09012.09811.91612.0070.28500.125812.00011.96011.97012.03011.9900.07012.09811.91612.0070.28500.125911.92011.94012.09012.00011.9880.17012.09811.91612.0070.28500.1251011.91011.99012.05012.10012.0130.19012.09811.91612.0070.28500.1251112.01012.00012.06011.97012.0100.09012.09811.91612.0070.28500.1251211.98011.99012.06012.03012.0150.08012.09811.91612.0070.28500.1251312.02012.00012.05011.95012.0050.10012.09811.91612.0070.28500.1251412.00012.05012.01011.97012.0080.08012.09811.91612.0070.28500.12512.0070.125

EJERCICO 1EJERCICIO 1 Muestra1234PromedioRangoUCLxLCLxXUCLrLCLrLC10.6040.6120.5880.6000.6010.0240.6150.5790.5970.0570.0000.02520.5970.6010.6070.6030.6020.0100.6150.5790.5970.0570.0000.02530.5810.5700.5850.5920.5820.0220.6150.5790.5970.0570.0000.02540.6200.6050.5950.5880.6020.0320.6150.5790.5970.0570.0000.02550.5900.6140.6080.6040.6040.0240.6150.5790.5970.0570.0000.02560.5850.5830.6170.5790.5910.0380.6150.5790.5970.0570.0000.0250.5970.025Clculo de los lmites de control en la grafica X-RUCLx0.615UCLr0.057EL PROCESO ESTA BAJO CONTROL YA QUE LAS MUESTRAS SE ENCUENTRAN EN LOS LIMITES PERMITIDOS

LCLx0.579LCLr0.000

Hoja1

Hoja2

Hoja3