Post on 08-Aug-2015
Grafico de control tipo P
Lic. Gerardo Edgar mata
alumno
Rafael armando ramirez Villarreal
3° E
Grafico tipo P
• El numero de piezas defectuosas y muestreadas se encuentran en el siguiente tabla proporción parte (1 de 2)
NNumero de piezas
muestradas Numero de piezas defectuosas proporción del
defecto
1 1190 9 0.007563
2 1186 6 0.005059
3 1214 10 0.008237
4 1192 5 0.004195
5 1204 4 0.003322
6 1198 5 0.004174
7 1200 3 0.002500
8 1180 8 0.006780
9 1198 4 0.003339
10 1202 5 0.004160
11 1196 5 0.004181
12 1200 6 0.005000
13 1194 4 0.003350
14 1188 5 0.004209
15 1190 3 0.002521
16 1194 4 0.003350
17 1198 4 0.003339
18 1192 6 0.005034
19 1214 4 0.003295
20 1202 3 0.002496
Grafico tipo p
• (Parte 2 de 2)
21 1188 5 0.004209
22 1212 4 0.003300
23 1202 4 0.003328
24 1196 3 0.002508
25 1198 2 0.001669
26 1180 3 0.002542
27 1176 5 0.004252
28 1194 3 0.002513
29 1008 5 0.004960
30 1210 5 0.004132
31 1194 6 0.005025
32 1210 2 0.001653
33 1192 5 0.004195
34 1194 3 0.002513
35 1214 4 0.003295
36 1192 12 0.010067
37 1196 4 0.003344
38 1202 3 0.002496
39 1216 7 0.005757
40 1194 5 0.004188
Grafico tipo P
Realizar su respectiva grafica con los siguientes resultados
0.995949 0.0055171 0.009568 0 0.005890 0 0.007729 00.004034773 0.009568 0.009568 42 0.005890 42 0.007729 423.38204E-060.001839032
0.0055171 -0.001466 0 0.002212 0 0.000373 00 0.004051 -0.001466 -0.001466 42 0.002212 42 0.000373 42
42 0.004051
p media= 0.004051
CL
PROMEDIO 1192.5
P REDONDEADO 1193
S=
0.00183903
p+1
p-1
p+2
p-2
UCL
LCL
Grafica a pata
Grafica tipo P (Excel)
Demostración de las Nelson rules
Rule 1One point is more than 3 standard deviations from
the mean
Nine (or more) points in a row are on the same side of the mean
Rule 2
Six (or more) points in a row are continually
increasing (or decreasing).
Fourteen (or more) points in a row
alternate in direction,
increasing then decreasing
Rule 3
Rule 4
Rule 7
Rule 5
Fifteen points in a row are all within 1 standard deviation
of the mean on either side of the mean.
Two (or three) out of three
points in a row are more than 2
standard deviations from the mean in the same direction
Eight points in a row exist with none within 1 standard deviation of the mean and the points are in both directions from
the mean
Four (or five) out of five points in a
row are more than 1 standard deviation from the mean in the same direction.
Nelson rule 6
Nelson rule 8
Conclusion
• Las Nelson rules podemos ver que sirven para ver la variabilidad del proceso si varea mucho a comparación de muestreos algunas se pueden encontrar fuera del limite de nuestros limites (UCL o LCL) es una gran herramienta el grafico de control complementado con las Nelson rules ya que las graficas demuestran los números de nuestro proceso.