• Author / Uploaded
• Erika Brenda Zingara

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Subgrupo 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

Fecha 3-Jun 3-Jun 3-Jun 3-Jun 3-Jun 4-Jun 4-Jun 4-Jun 4-Jun 4-Jun 7-Jun 7-Jun 7-Jun 7-Jun 7-Jun 8-Jun 8-Jun 8-Jun 8-Jun 8-Jun 9-Jun 9-Jun 9-Jun 9-Jun 9-Jun

X1

X2 6.35 6.46 6.34 6.69 6.38 6.42 6.44 6.33 6.48 6.47 6.38 6.37 6.40 6.38 6.50 6.33 6.41 6.38 6.35 6.56 6.38 6.39 6.42 6.43 6.39

X3 6.40 6.37 6.40 6.64 6.34 6.41 6.41 6.41 6.44 6.43 6.41 6.37 6.38 6.39 6.42 6.35 6.40 6.44 6.41 6.55 6.40 6.42 6.39 6.36 6.38

X4 6.32 6.36 6.34 6.68 6.44 6.43 6.41 6.38 6.47 6.36 6.39 6.41 6.47 6.45 6.43 6.29 6.29 6.28 6.37 6.45 6.45 6.35 6.39 6.35 6.43



6.37 6.41 6.36 6.59 6.40 6.34 6.46 6.36 6.45 6.42 6.38 6.37 6.35 6.42 6.45 6.39 6.34 6.58 6.38 6.48 6.37 6.40 6.36 6.38 6.44

Promedio 6.36 6.40 6.36 6.65 6.39 6.40 6.43 6.37 6.46 6.42 6.39 6.38 6.40 6.41 6.45 6.34 6.36 6.42 6.38 6.51 6.40 6.39 6.39 6.38 6.41 160.25

Promedios

6.41

Calculo de los limites de control en la Grafica X-R a) Para la media A2 =

0.729

UCL = LCL =

6.47 6.35 6.7

b) Para el Rango D3 =

0

D4 =

2.282

UCL = LCL =

6.6 6.5

0.20 0

6.4

Elaboración del gráfico X

Y

6.3 6.2 6.1 0

5

10

15

20

25

6.4 6.3 0 25 0 25 0 25

LC UCL LCL

6.41 6.41 6.47 6.47 6.35 6.35

6.2 6.1 0

5

10

15

20

25

Calculo de los limites corregidos Grafica X-R a) Para la media A=

1.5

LC = UCL = LCL =

6.40 6.45 6.34

b) Para el Rango D1 = D2 =

0 4.698

LC = UCL = LCL =

0.07875 0.18 0

6.7

Calculo de la Desviacion estandar del proceso d2 = 2.059 0 =

0.038246722

6.5

Elaboración del gráfico

LC UCL LCL

X 25 40 25 40 25 40

6.6

6.4 Y 6.40 6.40 6.45 6.45 6.34 6.34

6.3 6.2 6.1 0

5

10

15

20

25

30

10

Rango 0.08 0.10 0.06 0.10 0.10 0.09 0.05 0.08 0.04 0.11 0.03 0.04 0.12 0.07 0.08 0.10 0.12 0.30 0.06 0.11 0.08 0.07 0.06 0.08 0.06 2.19 0.0876

s 0.034 0.045 0.028 0.045 0.042 0.041 0.024 0.034 0.018 0.045 0.014 0.020 0.051 0.032 0.036 0.042 0.056 0.125 0.025 0.054 0.036 0.029 0.024 0.036 0.029 0.966

Tipo de Causa 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0

0.039

LC UCL LCL Promedio

15

20

25

30

UCL LCL Promedio

10

15

20

25

30

6.45 6.40 6.34

15

20

25

30

35

40

45

Subgrupo 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

Fecha 3-Jun 3-Jun 3-Jun 3-Jun 3-Jun 4-Jun 4-Jun 4-Jun 4-Jun 4-Jun 7-Jun 7-Jun 7-Jun 7-Jun 7-Jun 8-Jun 8-Jun 8-Jun 8-Jun 8-Jun 9-Jun 9-Jun 9-Jun 9-Jun 9-Jun

X1

X2 6.35 6.46 6.34 6.69 6.38 6.42 6.44 6.33 6.48 6.47 6.38 6.37 6.40 6.38 6.50 6.33 6.41 6.38 6.35 6.56 6.38 6.39 6.42 6.43 6.39

X3 6.40 6.37 6.40 6.64 6.34 6.41 6.41 6.41 6.44 6.43 6.41 6.37 6.38 6.39 6.42 6.35 6.40 6.44 6.41 6.55 6.40 6.42 6.39 6.36 6.38

X4 6.32 6.36 6.34 6.68 6.44 6.43 6.41 6.38 6.47 6.36 6.39 6.41 6.47 6.45 6.43 6.29 6.29 6.28 6.37 6.45 6.45 6.35 6.39 6.35 6.43



6.37 6.41 6.36 6.59 6.40 6.34 6.46 6.36 6.45 6.42 6.38 6.37 6.35 6.42 6.45 6.39 6.34 6.58 6.38 6.48 6.37 6.40 6.36 6.38 6.44

Promedios

Promedio 6.36 6.40 6.36 6.65 6.39 6.40 6.43 6.37 6.46 6.42 6.39 6.38 6.40 6.41 6.45 6.34 6.36 6.42 6.38 6.51 6.40 6.39 6.39 6.38 6.41 160.25

Rango 0.08 0.10 0.06 0.10 0.10 0.09 0.05 0.08 0.04 0.11 0.03 0.04 0.12 0.07 0.08 0.10 0.12 0.30 0.06 0.11 0.08 0.07 0.06 0.08 0.06 2.19

6.41

0.09

Calculo de los limites de control en la Grafica X-R a) Para la media A2 =

0.729

UCL = 6.4737604 LCL = 6.3460396 LC= 6.4099 b) Para el Rango D3 =

0

D4 =

2.282

UCL = LCL =

6.7

0.20 0.00

6.6

Elaboración del gráfico X

Elaboración del gráfico de Rango Y

X

Y

6.5 6.4 6.3 6.2

6.6 6.5 0 25 0 25 0 25

LC UCL LCL

6 6 6.4737604 6.4737604 6.3460396 6.3460396

LC UCL LCL

0 25 0 25 0 25

0.09 0.09 0.20 0.20 0.00 0.00

6.4 6.3 6.2 6.1 0

Calculo de los limites corregidos Grafica X-R a) Para la media A= LC = UCL = LCL =

1.5

6.39761364 6.45498372 6.34024355

b) Para el Rango D1 = D2 =

0 4.698

LC = UCL = LCL =

0.07875 0.1796831 0

RO

0.03824672

Calculo de la Desviacion estandar del proceso d2 = 2.059 0 =

0.03824672

Elaboración del gráfico

LC UCL LCL

X 25 40 25 40 25 40

Elaboración del gráfico Rango Y 6.397614 6.3976136 6.45498372 6.45498372 6.34024355 6.34024355

LC UCL LCL

X 25 40 25 40 25 40

Y 0.078750 0.0787500 0.1796831 0.1796831 0 0

5

s 0.034 0.045 0.028 0.045 0.042 0.041 0.024 0.034 0.018 0.045 0.014 0.020 0.051 0.032 0.036 0.042 0.056 0.125 0.025 0.054 0.036 0.029 0.024 0.036 0.029 0.97

Tipo de Causa 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0

0.04

0.35

6.7

0.30

6.6 6.5 6.4 6.3 6.2

0.25 Promed io LC UCL LCL

0.20 0.15 0.10 0.05

0.30

6.6

0.25

6.5

Promed io LC UCL LCL

6.4 6.3

0.20 0.15 0.10

6.2

0.05

6.1

0.00 0

5

10

15

20

25

0

30

MEDIA 6.7 6.6 6.5

Promed io

6.4

UCL

6.3

LC

6.2

LC

LC LCL UCL

6.1 RANGO

0

5

10

15

20

25

30

35

40

45

0.35 0.30 0.25 0.20 0.15

Colu mn H LC UCL LCL

5

10

0.35 0.30 Colu mn H

0.25

LC

0.20

UCL LCL

0.15

LC 0.10

UCL LCL

0.05 0.00 0

5

10

15

20

25

30

35

40

45

0.35 0.30 0.25 0.20 0.15 0.10 0.05

Colu mn H LC UCL LCL

0.30 0.25 Colu mn H LC UCL LCL

0.20 0.15 0.10 0.05 0.00 0

5

10

15

20

25

30

Calculo de los limites de control en la Grafica X-R a) Para la media A2 =

0.577

UCL = 167.631148 LCL = 158.717652 LC= 163.1744 b) Para el Rango D3 =

0

D4 =

2.114

UCL =

16.33

LCL =

0.00

Elaboración del gráfico

Elaboración del gráfico de Rango

X 0 25 0 25 0 25

LC UCL LCL

Y 163.17440 163.17440 167.631148 167.631148 158.717652 158.717652

LC UCL LCL

X 0 25 0 25 0 25

Y 7.72 7.72 16.33 16.33 0.00 0.00

Calculo de los limites corregidos Grafica X-R a) Para la media A= LC = UCL = LCL =

1.342

162.8425 166.785034 158.899966

b) Para el Rango D1 = D2 =

0 4.918

LC = UCL = LCL =

6.83333333 14.4481227 0

Calculo de la Desviacion estandar del proceso d2 = 2.326 0 =

2.93780453

Elaboración del gráfico

LC UCL LCL

X 25 40 25 40 25 40

Elaboración del gráfico Rango Y 162.842500 ### 166.785034 166.785034 158.899966 158.899966

LC UCL LCL

X 25 40 25 40 25 40

Y 6.833333 6.8333333 14.4481227 14.4481227 0 0

Muestra 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

Obs 1 167.0 156.2 167.0 167.0 156.3 164.0 161.3 163.1 164.3 156.9 161.0 163.3 158.2 161.5 163.6 164.5 164.9 155.0 162.1 165.2 174.9 167.6 167.7 166.0 163.7

Obs2 159.6 159.5 162.9 159.6 160.0 164.2 163.0 164.2 157.0 161.0 163.3 164.5 161.3 163.5 164.8 158.5 157.9 162.2 163.9 159.1 170.0 165.6 165.8 166.0 163.7

Obs3 161.6 161.7 162.9 163.7 162.9 163.0 164.2 156.9 161.2 163.2 164.4 158.4 163.5 164.7 158.0 160.3 162.3 163.7 165.1 161.6 169.9 165.6 165.9 165.6 165.6

Obs4 164.0 164.0 164.0 164.1 164.1 164.2 157.0 160.1 163.2 164.3 157.6 160.1 164.6 158.6 162.4 163.4 163.7 164.8 159.3 163.9 177.2 156.7 156.9 165.6 165.6

Obs5 165.3 185.3 165.4 165.4 165.5 163.9 160.3 163.1 164.4 157.3 160.6 163.3 158.7 162.5 163.6 164.6 165.1 159.6 162.0 165.2 163.7 165.7 165.9 165.5 166.2 

Promedio 163.5 165.3 164.4 164.0 161.8 163.9 161.2 161.5 162.0 160.5 161.4 161.9 161.3 162.2 162.5 162.3 162.8 161.1 162.5 163.0 171.1 164.2 164.4 165.7 165.0 4079.4

Rango 7.40 29.10 4.10 7.40 9.20 1.20 7.20 7.30 7.40 7.40 6.80 6.10 6.40 6.10 6.80 6.10 7.20 9.80 5.80 6.10 13.50 10.90 10.80 0.50 2.50 193.1

Promedios

163.1744

7.724

MEDIA 175

35.00 30.00

170

25.00 165

LC UCL LCL

20.00

175

35.00 30.00

170

25.00 LC UCL LCL Muest ra

165

160

155

20.00 15.00 10.00 5.00 0.00

150 0

5

10

15

20

25

0

30

MEDIA 175

170

LC UCL

165

LCL Muest ra

160

LC UCL

155

LCL

150 0

5

10

15

20

25

30

35

40

45

5

160

LC UCL

155

LCL

150 0

5

10

15

20

25

30

35

40

45

RANGO 35.00 30.00 25.00

Colu mn P

20.00

LC UCL

15.00

LCL LC

10.00

UCL

5.00

LCL

0.00 0

5

10

15

20

25

30

35

40

45

s Tipo de Causa 2.9394 0 11.5227 1 1.7615 0 2.7574 0 3.6631 0 0.4980 0 2.7700 0 2.9803 0 3.0874 0 3.3605 0 2.6386 0 2.5577 0 2.8325 0 2.3169 0 2.6442 0 2.7282 0 2.9482 0 3.9087 0 2.2005 0 2.6296 0 5.2214 1 4.3003 0 4.2893 0 0.2408 0 1.176010204 0 78.0 3.118929416

RANGO 35.00 30.00 25.00 20.00

Colu mn P

35.00 30.00 25.00 Colu mn P LC UCL LCL

20.00 15.00 10.00 5.00 0.00 0

5

10

15

20

25

30