4ta. Unidad: Cp Y cpkControl Estadístico del Proceso

Datos

Histograma

Intervalos Aparentes Intervalos Reales

Lim Inf Lim sup Separación Lim Inf Lim Sup Xi Fi Abs. Acum. Relativa Rel. Acum Fi Xi |x1-x|fi |x1-x|2fi

5.739 5.787 0.0005 1 5.7385 5.7875 5.763 5 5 0.025 0.025 28.815 0.836675 0.14000501

5.788 5.836 2 5.7875 5.8365 5.812 8 13 0.04 0.065 46.496 0.94668 0.11202538

5.837 5.885 3 5.8365 5.8855 5.861 38 51 0.19 0.255 222.718 2.63473 0.182679

5.886 5.934 4 5.8855 5.9345 5.91 54 105 0.27 0.525 319.14 1.09809 0.02232966

5.935 5.983 5 5.9345 5.9835 5.959 57 162 0.285 0.81 339.663 1.633905 0.04683589

5.984 6.032 6 5.9835 6.0325 6.008 23 185 0.115 0.925 138.184 1.786295 0.1387326

6.033 6.081 7 6.0325 6.0815 6.057 12 197 0.06 0.985 72.684 1.51998 0.19252827

6.082 6.13 8 6.0815 6.1305 6.106 2 199 0.01 0.995 12.212 0.35133 0.06171638

6.131 6.179 9 6.1305 6.1795 6.155 1 200 0.005 1 6.155 0.224665 0.05047436

Total 1186.067 11.03235 0.94732656

Media 5.930335

Mediana 0.05516175

Varianza 0.00473663

Des. Estandar 0.0688232

Histograma

Cp y Cpk

σ 0.0688232

USL 6.3

LSL 5.8

Media 5.930335

Cp= 1.21083202

Cpi 1.79040887 Cpk

Cps -0.63125516

El Cpk resulto ser mayor a cero por lo cual nos

indica que se cumplen con las especificaciones de

los clientes, y nuestro proceso supera las

expectativas.

Segundo Histograma Datos

5.65 5.5 6.26 6.53 5.9 5.96 5.92 6.38 6.09 6.17 6.67 5.53 5.4 6.11 6.68 6.3874 5.403 6.53 5.78 5.71

5.45 6.162 6.45 5.98 6.17 6.35 5.45 6.34 6.45 5.943 6.45 6.45 5.45 5.45 5.45 6.311 5.45 5.45 5.45 5.22

6.58 5.26 5.29 5.99 6.24 6.73 5.29 5.29 5.26 5.29 6.589 5.99 6.29 6.3574 6.29 6.392 5.29 5.26 5.29 5.234

5.12 6.13 5.9 6.32 5.97 5.19 5.92 5.92 6.12 5.92 5.92 6.57 6.12 6.12 5.91 6.12 5.92 5.92 5.12 5.2333

6.15 5.31 6.4111 5.45 5.48 6.25 5.95 5.15 5.95 5.15 5.95 6.19 6.15 5.99 5.96 6.15 5.15 5.15 5.15 6.2521

6.3102 6.59 6.2 5.91 5.18 5.55 5.2 5.1789 6.2 6.2 5.967 6.14 6.2 6.51 6.2 5.36825 6.26 5.2 6.2 6.2335

5.68 5.7 5.68 6.68 6.36 6.28 6.89 6.68 6.76 5.28 5.68 6.68 5.3 6.68 5.58 5.355 6.68 6.68 6.68 6.2013

5.42 6.33 5.42 5.42 5.48 5.37 6.42 6.421 6.109 5.32 6.267 5.42 5.42 6.42 5.42 6.42 6.42 6.42 6.42 6.26

5.35 5.34 6.35 5.35 5.51 5.39 6.35 5.35 6.29325 6.35 5.35 6.12 5.35 5.26 5.35 5.67 6.35 6.35 6.35 6.55

6.5 6.32 6.32 6.32 6.78 6.189 6.6 5.341 6.7 5.45 5.332 5.456 5.67 6.32 5.32 6.2506 6.32 6.387 6.34 5.39

Histograma

Intervalos Aparentes Intervalos Reales

Lim Inf Lim sup Separación Lim Inf Lim Sup Xi Fi Abs. Acum. Relativa Rel. Acum Fi Xi |x1-x|fi |x1-x|2fi

5.12 5.31667 0.0005 1 5.1195 5.31717 5.218335 28 28 0.14 0.14 146.11338 20.1465264 14.4958045

5.31767 5.51434 2 5.31717 5.51484 5.416005 39 67 0.195 0.335 211.224195 20.3521032 10.6207206

5.51534 5.71201 3 5.51484 5.71251 5.613675 11 78 0.055 0.39 61.750425 3.5659668 1.15601084

5.71301 5.90968 4 5.71251 5.91018 5.811345 5 83 0.025 0.415 29.056725 0.632544 0.08002238

5.91068 6.10735 5 5.91018 6.10785 6.009015 20 103 0.1 0.515 120.1803 1.423224 0.10127833

6.10835 6.30502 6 6.10785 6.30552 6.206685 37 140 0.185 0.7 229.647345 9.9467544 2.67399792

6.30602 6.50269 7 6.30552 6.50319 6.404355 37 177 0.185 0.885 236.961135 17.2605444 8.05206468

6.50369 6.70036 8 6.50319 6.70086 6.602025 19 196 0.095 0.98 125.438475 12.6192528 8.38134428

6.70136 6.89803 9 6.70086 6.89853 6.799695 4 200 0.02 1 27.19878 3.4473648 2.97108102

Total 1187.57076 89.3942808 48.5323246

Media 5.9378538

Mediana 0.446971404

Varianza 0.00497352

Des. Estandar 0.0705232

Histograma

Cp y Cpk

σ 0.0705232

USL 6.1494234

LSL 5.7262842

Media 5.9378538

Cp= 1

Cpi 1 Cpk

Cps -1

El cpk es igual a cero por que nos

indica que el proceso cumple con las

espeficicaciones.