Cp y Cpk

1. 4ta. Unidad: Cp Y cpk
Control Estadístico del Proceso

2. Datos

3. 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|2
fi
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

4. Histograma

5. 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.

6. 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

7. Histograma
IntervalosAparentes IntervalosReales
LimInf Limsup Separación LimInf LimSup Xi Fi Abs.Acum. Relativa Rel. Acum Fi Xi |x1-x|fi |x1-x|2
fi
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

8. Histograma

9. 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.