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Ejercicio 1 Media c del proceso 19.85

Numero de muestra Numero de disconformidades LCS LC1 21 33.21 19.852 24 33.21 19.853 16 33.21 19.854 12 33.21 19.855 15 33.21 19.856 5 33.21 19.857 28 33.21 19.858 20 33.21 19.859 31 33.21 19.85

10 25 33.21 19.8511 20 33.21 19.8512 24 33.21 19.8513 16 33.21 19.8514 19 33.21 19.8515 10 33.21 19.8516 17 33.21 19.8517 13 33.21 19.8518 22 33.21 19.8519 18 33.21 19.8520 39 33.21 19.8521 30 33.21 19.8522 24 33.21 19.8523 16 33.21 19.8524 19 33.21 19.8525 17 33.21 19.8526 15 33.21 19.85

516

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 2605

1015202530354045

Grafico de Control N° 1 Tarjetas Disconformes

Numero de disconformidades Limite superiorLimite Central Limite Inferior

Ejercicio 2Media c del proceso 10.50

Numero de muestra Numero de disconformidades LCS LC1 9 20.22 10.502 11 20.22 10.503 13 20.22 10.504 9 20.22 10.505 15 20.22 10.506 13 20.22 10.507 8 20.22 10.508 16 20.22 10.509 10 20.22 10.5010 17 20.22 10.5011 10 20.22 10.5012 10 20.22 10.5013 9 20.22 10.5014 5 20.22 10.5015 12 20.22 10.5016 6 20.22 10.5017 15 20.22 10.5018 10 20.22 10.5019 7 20.22 10.5020 5 20.22 10.5021 9 20.22 10.5022 12 20.22 10.50

231


Numero de muestra Numero de disconformidades LCS LC1 70 85.72 62.082 64 85.72 62.083 81 85.72 62.084 105 85.72 62.085 40 85.72 62.086 62 85.72 62.087 53 85.72 62.088 48 85.72 62.08

9 82 85.72 62.0810 90 85.72 62.0811 110 85.72 62.0812 54 85.72 62.0813 88 85.72 62.0814 40 85.72 62.0815 21 85.72 62.0816 56 85.72 62.0817 91 85.72 62.0818 70 85.72 62.0819 65 85.72 62.0820 50 85.72 62.0821 28 85.72 62.0822 24 85.72 62.0823 60 85.72 62.0824 75 85.72 62.0825 25 85.72 62.08

1552

Ejercicios 4Media c del proceso 9.03


10 6 18.05 9.0311 13 18.05 9.0312 8 18.05 9.0313 11 18.05 9.0314 8 18.05 9.0315 15 18.05 9.0316 9 18.05 9.0317 6 18.05 9.0318 13 18.05 9.0319 5 18.05 9.0320 7 18.05 9.03

21 12 18.05 9.0322 5 18.05 9.0323 9 18.05 9.0324 11 18.05 9.0325 8 18.05 9.0326 9 18.05 9.0327 12 18.05 9.0328 13 18.05 9.0329 10 18.05 9.0330 7 18.05 9.03

271



10 15 23.27 12.6211 11 23.27 12.6212 28 23.27 12.6213 16 23.27 12.6214 10 23.27 12.6215 18 23.27 12.6216 11 23.27 12.6217 2 23.27 12.6218 12 23.27 12.6219 19 23.27 12.6220 7 23.27 12.6221 12 23.27 12.6222 13 23.27 12.6223 6 23.27 12.6224 14 23.27 12.6225 4 23.27 12.6226 16 23.27 12.62

328

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 260

5

10

15

20

25

30

Grafico de Control de Asociación de agro exportadores de mango proceso de cosecha

Numero de disconformidades Limite SuperiorLimite Central Limite Inferior

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 260

5

10

15

20

25

30



Ejercicio 1 C

LCI Numero de muestra Numero de disconformidades LCS6.48 1 21 32.976.48 2 24 32.976.48 3 16 32.976.48 4 12 32.976.48 5 15 32.976.48 7 28 32.976.48 8 20 32.976.48 9 31 32.976.48 10 25 32.976.48 11 20 32.976.48 12 24 32.976.48 13 16 32.976.48 14 19 32.976.48 15 10 32.976.48 16 17 32.976.48 17 13 32.976.48 18 22 32.976.48 19 18 32.976.48 21 30 32.976.48 22 24 32.976.48 23 16 32.976.48 24 19 32.976.48 25 17 32.976.48 26 15 32.976.48 4726.48

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 2605

1015202530354045

Grafico de Control N° 1 Tarjetas Disconformes

Numero de disconformidades Limite superiorLimite Central Limite Inferior

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2405

1015202530354045

Grafico de Control °2 Dentro de los Limites

Numero de disconformidades Limite Superior Limite Central Limite Inferior

Ejercicio 2

LCI0.780.780.780.780.780.780.780.780.780.780.780.780.780.780.780.780.780.780.780.780.780.78

Ejercicio 3

LCI38.4438.4438.4438.4438.4438.4438.4438.44

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 220

5

10

15

20

25

Grafico de Control de Rollos de Tela de la Empresa Scott


1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 250

20

40

60

80

100

120

Grafico de Control N°1 "Disney" Proceso de Emsamblado


38.4438.4438.4438.4438.4438.4438.4438.4438.4438.4438.4438.4438.4438.4438.4438.4438.44

Ejercicios 4

LCI0.020.020.020.020.020.020.020.020.020.020.020.020.020.020.020.020.020.020.020.02

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 250

20

40

60

80

100

120



1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 300

2

4

6

8

10

12

14

16

18

20

Grafica de Control Helados Yamboli


0.020.020.020.020.020.020.020.020.020.02

Ejercicio 5

LCI1.961.961.961.961.961.961.961.961.961.961.961.961.961.961.961.961.961.961.961.961.961.961.961.961.961.96

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 300

2

4

6

8

10

12

14

16

18

20



1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 260

5

10

15

20

25

30



1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 260

5

10

15

20

25

30



Ejercicio 1 19.67

LC LCI19.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.3619.67 6.36

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2405

1015202530354045

Grafico de Control °2 Dentro de los Limites

Numero de disconformidades Limite Superior Limite Central Limite Inferior

Ejercicio 2

Ejercicio 3

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 220

5

10

15

20

25

Grafico de Control de Rollos de Tela de la Empresa Scott


1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 250

20

40

60

80

100

120



Ejercicios 4

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 250

20

40

60

80

100

120



1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 300

2

4

6

8

10

12

14

16

18

20



Ejercicio 5

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 300

2

4

6

8

10

12

14

16

18

20



Ejercicio

LS LC LI

1 5 10 2 3.794 1.93 0.0662 5 12 2.4 3.794 1.93 0.0663 5 8 1.6 3.794 1.93 0.0664 5 14 2.8 3.794 1.93 0.0665 5 10 2 3.794 1.93 0.0666 5 16 3.2 3.794 1.93 0.0667 5 11 2.2 3.794 1.93 0.0668 5 7 1.4 3.794 1.93 0.0669 5 10 2 3.794 1.93 0.066

10 5 15 3 3.794 1.93 0.06611 5 9 1.8 3.794 1.93 0.06612 5 5 1 3.794 1.93 0.06613 5 7 1.4 3.794 1.93 0.06614 5 11 2.2 3.794 1.93 0.06615 5 12 2.4 3.794 1.93 0.06616 5 6 1.2 3.794 1.93 0.06617 5 8 1.6 3.794 1.93 0.06618 5 10 2 3.794 1.93 0.06619 5 7 1.4 3.794 1.93 0.06620 5 5 1 3.794 1.93 0.066

193 38.6

Numero de Muestra

Tamaño de la muestra

Numero de no Conformados

Numero Promedio de no conf. Por

unidad

U 1.93

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 200

0.5

1

1.5

2

2.5

3

3.5

4

Grafico de Control Disconformidades de computaroras en la fabrica Bell

Numero Promedio de no conf. Por unidadLimite SuperiorLimite CentralLimite Inferior

Ejercicio P 0.0184

# de lotes LS LC LI

1 300 12 12.50 5.52 -1.462 300 3 12.50 5.52 -1.463 300 9 12.50 5.52 -1.464 300 4 12.50 5.52 -1.465 300 0 12.50 5.52 -1.466 300 6 12.50 5.52 -1.467 300 6 12.50 5.52 -1.468 300 1 12.50 5.52 -1.469 300 8 12.50 5.52 -1.46

10 300 11 12.50 5.52 -1.4611 300 2 12.50 5.52 -1.4612 300 10 12.50 5.52 -1.4613 300 9 12.50 5.52 -1.4614 300 3 12.50 5.52 -1.4615 300 0 12.50 5.52 -1.4616 300 5 12.50 5.52 -1.4617 300 7 12.50 5.52 -1.4618 300 8 12.50 5.52 -1.4619 300 16 12.50 5.52 -1.4620 300 2 12.50 5.52 -1.4621 300 5 12.50 5.52 -1.4622 300 6 12.50 5.52 -1.4623 300 0 12.50 5.52 -1.4624 300 3 12.50 5.52 -1.4625 300 2 12.50 5.52 -1.46

7500 138

Ejercicio P 0.2313

Sub Grupo # de muestra

1 50 12 20.51 11.57 2.622 50 15 20.51 11.57 2.623 50 8 20.51 11.57 2.624 50 10 20.51 11.57 2.625 50 4 20.51 11.57 2.626 50 7 20.51 11.57 2.627 50 16 20.51 11.57 2.628 50 9 20.51 11.57 2.629 50 14 20.51 11.57 2.62

N cantidad de muestra

# P de defectuosos

# de defectuosas

Limite Superior

Limite Central

Limite inferior

10 50 10 20.51 11.57 2.6211 50 5 20.51 11.57 2.6212 50 6 20.51 11.57 2.6213 50 17 20.51 11.57 2.6214 50 12 20.51 11.57 2.6215 50 22 20.51 11.57 2.6216 50 8 20.51 11.57 2.6217 50 10 20.51 11.57 2.6218 50 5 20.51 11.57 2.6219 50 13 20.51 11.57 2.6220 50 11 20.51 11.57 2.6221 50 20 20.51 11.57 2.6222 50 18 20.51 11.57 2.6223 50 24 20.51 11.57 2.6224 50 15 20.51 11.57 2.6225 50 9 20.51 11.57 2.6226 50 12 20.51 11.57 2.6227 50 7 20.51 11.57 2.6228 50 13 20.51 11.57 2.6229 50 9 20.51 11.57 2.6230 50 6 20.51 11.57 2.62

1500 347

Ejercicio P 0.0248

Sub Grupo # de muestra

1 500 11 22.83 12.40 1.972 500 11 22.83 12.40 1.973 500 18 22.83 12.40 1.974 500 12 22.83 12.40 1.975 500 12 22.83 12.40 1.976 500 14 22.83 12.40 1.977 500 15 22.83 12.40 1.978 500 17 22.83 12.40 1.979 500 10 22.83 12.40 1.97

10 500 17 22.83 12.40 1.9711 500 8 22.83 12.40 1.9712 500 8 22.83 12.40 1.9713 500 11 22.83 12.40 1.9714 500 12 22.83 12.40 1.9715 500 10 22.83 12.40 1.9716 500 10 22.83 12.40 1.9717 500 11 22.83 12.40 1.97

# de defectuosas

Limite Superior

Limite Central

Limite inferior

18 500 6 22.83 12.40 1.9719 500 13 22.83 12.40 1.9720 500 20 22.83 12.40 1.9721 500 7 22.83 12.40 1.9722 500 25 22.83 12.40 1.9723 500 15 22.83 12.40 1.9724 500 5 22.83 12.40 1.9725 500 17 22.83 12.40 1.9726 500 12 22.83 12.40 1.9727 500 9 22.83 12.40 1.9728 500 13 22.83 12.40 1.9729 500 17 22.83 12.40 1.9730 500 6 22.83 12.40 1.97

15000 372

Ejercicio 4P 0.112

N° de Lote # de muestra

1 250 20 42.88 27.93 12.992 250 28 42.88 27.93 12.993 250 24 42.88 27.93 12.994 250 21 42.88 27.93 12.995 250 32 42.88 27.93 12.996 250 33 42.88 27.93 12.997 250 31 42.88 27.93 12.998 250 29 42.88 27.93 12.999 250 30 42.88 27.93 12.99

10 250 34 42.88 27.93 12.9911 250 32 42.88 27.93 12.9912 250 24 42.88 27.93 12.9913 250 29 42.88 27.93 12.9914 250 27 42.88 27.93 12.9915 250 37 42.88 27.93 12.9916 250 23 42.88 27.93 12.9917 250 27 42.88 27.93 12.9918 250 28 42.88 27.93 12.9919 250 31 42.88 27.93 12.9920 250 27 42.88 27.93 12.9921 250 30 42.88 27.93 12.9922 250 23 42.88 27.93 12.9923 250 23 42.88 27.93 12.9924 250 27 42.88 27.93 12.9925 250 35 42.88 27.93 12.99

# de defectuosas

Limite Superior

Limite Central

Limite inferior

26 250 29 42.88 27.93 12.9927 250 23 42.88 27.93 12.9928 250 23 42.88 27.93 12.9929 250 30 42.88 27.93 12.9930 250 28 42.88 27.93 12.99

7500 838

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25-5

0

5

10

15

20

Grafica de Control N° de Productos Defectuosos

# P de defectuosos Limite SuperiorLimite Central Limite Inferior

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 300

5

10

15

20

25

30

Grafica de Control para N° de latas de-fectuosas

# de defectuosas Limite Superior LimiteCentral Limite Inferior

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 300

5

10

15

20

25

30



1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 300

5

10

15

20

25

30


# de defectuosas Limite Superior Limite Central Limite Inferior

1 2 3 4 5 6 7 8 9 10111213141516171819202122232425262728293005

101520253035404550

Grafica de Control N° de meloco-tones golpeados

# de defectuosas Limite SuperiorLimite Central Limite Inferior

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 300

5

10

15

20

25

30



1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 300

5

10

15

20

25

30



1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 300

5

10

15

20

25

30


# de defectuosas Limite Superior Limite Central Limite Inferior

Ejercicio

Lote Fraccion P LS LC LI

1 225 31 0.138 0.01 0.003 -0.0032 190 8 0.042 0.01 0.003 -0.003

3 230 26 0.113 0.01 0.003 -0.0034 215 30 0.140 0.01 0.003 -0.0035 186 38 0.204 0.01 0.003 -0.0036 200 26 0.130 0.01 0.003 -0.0037 205 16 0.078 0.01 0.003 -0.0038 188 12 0.064 0.01 0.003 -0.0039 213 50 0.235 0.01 0.003 -0.003

10 224 16 0.071 0.01 0.003 -0.00311 194 33 0.170 0.01 0.003 -0.00312 221 18 0.081 0.01 0.003 -0.00313 217 33 0.152 0.01 0.003 -0.00314 209 25 0.120 0.01 0.003 -0.00315 191 28 0.147 0.01 0.003 -0.00316 216 12 0.056 0.01 0.003 -0.00317 203 49 0.241 0.01 0.003 -0.00318 197 51 0.259 0.01 0.003 -0.00319 203 49 0.241 0.01 0.003 -0.00320 197 51 0.259 0.01 0.003 -0.003

4124 602 0.146206.20

Ejercicio

N de lote fraccion P LS LC LI

1 920.000 13.00 0.01413043 0.024 0.01 0.001213522 898.000 4.00 0.00445434 0.024 0.01 0.001213523 858.000 3.00 0.0034965 0.024 0.01 0.001213524 790.000 22.00 0.0278481 0.024 0.01 0.001213525 804.000 13.00 0.01616915 0.024 0.01 0.001213526 950.000 6.00 0.00631579 0.024 0.01 0.001213527 895.000 8.00 0.00893855 0.024 0.01 0.001213528 800.000 14.00 0.0175 0.024 0.01 0.001213529 867.000 9.00 0.01038062 0.024 0.01 0.00121352

10 903.000 10.00 0.0110742 0.024 0.01 0.00121352

Cantidad Inspeccionada

Numero de no Conformes

Cantidad Inspeccionada

Numero de no Conformes

11 796.000 16.00 0.0201005 0.024 0.01 0.0012135212 924.000 8.00 0.00865801 0.024 0.01 0.0012135213 823.000 3.00 0.0036452 0.024 0.01 0.0012135214 867.000 12.00 0.01384083 0.024 0.01 0.0012135215 894.000 21.00 0.02348993 0.024 0.01 0.0012135216 791.000 9.00 0.011378 0.024 0.01 0.0012135217 812.000 4.00 0.00492611 0.024 0.01 0.0012135218 863.000 11.00 0.01274623 0.024 0.01 0.0012135219 837.000 23.00 0.02747909 0.024 0.01 0.0012135220 900.000 14.00 0.01555556 0.024 0.01 0.0012135221 774.000 11.00 0.01421189 0.024 0.01 0.0012135222 853.000 7.00 0.00820633 0.024 0.01 0.0012135223 924.000 9.00 0.00974026 0.024 0.01 0.00121352

19743 250 0.013858.391

Grafico de Control Linea de Ensamblaje de estufas electricas defectuosas

Grafico de Control Linea de Ensamblaje de estufas electricas

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 230.000

0.005

0.010

0.015

0.020

0.025

0.030

0.00

5.00

10.00

15.00

20.00

25.00

Grafica de Control Piezas Defectuosas

Limite Superior Limite CentralLimite Inferior Numero de no Conformes

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 200

0.05

0.1

0.15

0.2

0.25

0.3

Fraccion PLSLCLI

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 230.000

0.005

0.010

0.015

0.020

0.025

0.030

0.00

5.00

10.00

15.00

20.00

25.00

Grafica de Control Piezas Defectuosas

Limite Superior Limite CentralLimite Inferior Numero de no Conformes

En la siguiente gráfica de Control de la línea de ensamble de estufas eléctricas del modelo T1O3 defectuosas, se observa que el proceso se encuentra fuera de control estadístico, siendo el

lote Nº 9, 17 ,18, 19 y 20 que se encuentran por encima del límite superior, mientras que el lote Nº 218 y 16 se encuentran por

debajo de los límites inferiores, por lo que se recomienda disminuir la variabilidad del proceso, determinando las causas

que hacen que el proceso este fuera de control.

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