This document presents a graph and analysis of a type P control chart. The control chart shows the number of defective and total pieces sampled over 40 periods. The mean proportion of defects is 0.004051. The document then demonstrates the Nelson rules, which can identify non-random patterns in the data that indicate a process is not stable. The conclusion is that Nelson rules are useful for evaluating process variability, and that combining them with a control chart provides valuable insights into process performance over time.

1. Grafico de control
tipo P
Lic. Gerardo Edgar mata
alumno
Rafael armando ramirez Villarreal
3° E

2. Grafico tipo P
• El numero de piezas
defectuosas y muestreadas
se encuentran en el siguiente
tabla proporción parte (1
de 2)
N
Numero 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

3. 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

4. Grafico tipo P
Realizar su respectiva grafica con los siguientes resultados
0.995949 0.0055171 0.009568 0 0.005890 0 0.007729 0
0.004034773 0.009568 0.009568 42 0.005890 42 0.007729 42
3.38204E-06
0.001839032
0.0055171 -0.001466 0 0.002212 0 0.000373 0
0 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

5. Grafica a pata

6. Grafica tipo P (Excel)

7. Demostración de las Nelson rules

8. 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

9. 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

10. 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

11. 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

12. 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.