practica calificada 2.pdf

UNIVERSIDAD NACIONAL DE SAN AGUSTIN FACULTAD DE INGENIERIA DE

PRODUCCION Y SERVICIOS ESCUELA PROFESIONAL DE INGENIERIA

INDUSTRIAL

PRACTICA CALIFICADA:2

PRESENTADO POR:

TORRES HUAMANI, JUAN

DOCENTE: Dr. Cs. Roque Flix Ros Barreno

GRUPO: A FECHA: 23-06-2015

AREQUIPA - PER

2015-A

CONTROL ESTADSTICO DE PROCESOS

CASO ESTUDIO (3)

GRAFICA DE CONTROL P

Nmero de la muestra

nmero de unidades

defectuosas

proporcin de

deficiencia en la

muestra di

1 12 0.24

2 15 0.3

3 8 0.16

4 10 0.2

5 4 0.08

6 7 0.14

7 16 0.32

8 9 0.18

9 14 0.28

10 10 0.2

11 5 0.1

12 6 0.12

13 17 0.34

14 12 0.24

15 22 0.44

16 8 0.16

17 10 0.2

18 5 0.1

19 13 0.26

20 11 0.22

21 20 0.4

22 18 0.36

23 24 0.48

24 15 0.3

25 9 0.18

26 12 0.24

27 7 0.14

28 13 0.26

29 9 0.18

30 6 0.12

suma 347 6.94


Grfica de fraccin defectiva se grafican las fracciones defectivas pi en cada una de las m

muestras de tamao n >= 30.

i

i

in

Dp

Di son los productos defectivos encontrados en cada muestra de tamao ni.

m

p

mn

D

p

m

i

i

m

i

i

11 Es el promedio de las pis.

__

p =347/(30)(50)=0.2313

LSCp = n

ppp

)1(3

______

LSCp = 0.2313+3 =0.4101 = 41.01%

LICp = n

ppp

)1(3

______

LSCp = 0.2313-3 =0.0524=5.24%


CORRECCION DEL GRAFICO

__

p= (347-12)/(1500-50)*100 = 23 .10 %

LSCp = n

ppp

)1(3

______

=

LSCp = 0.2310+3 =0.4101 = 40.99%

LICp = n

ppp

)1(3

______

=

LSCp = 0.2310-3 =0.4101 = 5.22%

0.00%

10.00%

20.00%

30.00%

40.00%

50.00%

60.00%

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29

de

fect

os(

%)

GRAFICO DE CONTROL DE ATRIBUTOS

proporcion de deficienciaen la muestra di

LCS

LCI


0.00%

10.00%

20.00%

30.00%

40.00%

50.00%

60.00%

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29

def

ect

os(

%)

GRAFICO DE CONTROL DE ATRIBUTOS

proporcion de deficienciaen la muestra di

LCS

LCI


CASO ESTUDIO4

GRAFICA DE ATRIBUTOS CON EL TAMAO DE MUESTRA VARIABLE

1 47 3

2 49 4

3 50 7

4 42 3

5 45 3

6 49 4

7 52 5

8 50 7

9 53 6

10 47 3

11 46 2

12 46 8

13 48 10

14 50 12

15 53 10

16 45 6

17 47 2

18 47 2

19 46 4

20 44 2

21 52 2

22 53 8

23 50 3

24 51 5

25 47 3

26 50 14

27 49 3

28 52 14

29 47 5

30 47 5

31 53 5

32 53 4

33 49 4

34 50 5

35 52 6

36 49 5

37 47 4

38 51 7

39 52 4

40 50 3

41 47 5

42 50 4

43 48 5

44 47 2

45 52 3

46 52 2

47 48 5

48 45 10

49 47 4

50 51 5

muetra i

tamao de

muestra

piezas

defectuosas


Agrupando segn el tamao de muestra

m

p

mn

D

p

m

i

i

m

i

i

11 Es el promedio de las pis.

LSCp = n

ppp

)1(3

______

LCp = __

p

LICp = n

ppp

)1(3

______

nmero de la muestra

muestra nmero de unidades

deficientes

proporcin de

deficiencia en la

muestra di

P(%) LCS LCI

1 42 3 0.0714 7.14285714 19.06% 0

2 44 2 0.0455 4.54545455 13.97% 0

3 45 3 0.1407 14.0740741 29.63% 0

4 45 6 0

5 45 10 0

6 46 2 0.1014 10.1449275 23.50% 0

7 46 8 0

8 46 4 0

9 47 3 0.0735 7.35009671 18.77% 0

10 47 3 0

11 47 2 0

12 47 2 0

13 47 3 0

14 47 5 0

15 47 5 0

16 47 4 0

17 47 5 0

18 47 2 0

19 47 4 0

20 48 10 0.1389 13.8888889 28.86% 0

21 48 5 0.00% 0


22 48 5 0.00% 0

23 49 4 0.0816 8.16326531 19.90% 0

24 49 4 0.00% 0

25 49 3 0.00% 0

26 49 4 0.00% 0

27 49 5 0.00% 0

28 50 7 0.1375 13.75 28.36% 0

29 50 7 0.00% 0

30 50 12 0.00% 0

31 50 3 0.00% 0

32 50 14 0.00% 0

33 50 5 0.00% 0

34 50 3 0.00% 0

35 50 4 0.00% 0

36 51 5 0.0980 9.80392157 22.30% 0

37 51 7 0.00% 0

38 51 3 0.00% 0

39 51 5 0.00% 0

40 52 5 0.1058 10.5769231 23.37% 0

41 52 2 0.00% 0

42 52 14 0.00% 0

43 52 6 0.00% 0

44 52 4 0.00% 0

45 52 2 0.00% 0

46 53 6 0.1245 12.4528302 26.06% 0

47 53 10 0.00% 0

48 53 8 0.00% 0

49 53 5 0.00% 0

50 53 4 0.00% 0

suma 2446 257 1.1189

Como se observa en el cuadro todos se encuentran de los lmites de control segn muestra.

Segn grafico de control p


nmero de la muestra

muestra nmero de unidades

deficientes

proporcin de

deficiencia en la

muestra di

P(%) LCS LC LCI

1 42 3 0.0714 7.14285714 24.70% 10.50% 0%

2 44 2 0.0455 4.54545455 24.38% 10.50% 0%

3 45 3 0.0667 6.66666667 24.22% 10.50% 0%

4 45 6 0.1333 13.3333333 24.22% 10.50% 0%

5 45 10 0.2222 22.2222222 24.22% 10.50% 0%

6 46 2 0.0435 4.34782609 24.07% 10.50% 0%

7 46 8 0.1739 17.3913043 24.07% 10.50% 0%

8 46 4 0.0870 8.69565217 24.07% 10.50% 0%

9 47 3 0.0638 6.38297872 23.93% 10.50% 0%

10 47 3 0.0638 6.38297872 23.93% 10.50% 0%

11 47 2 0.0426 4.25531915 23.93% 10.50% 0%

12 47 2 0.0426 4.25531915 23.93% 10.50% 0%

13 47 3 0.0638 6.38297872 23.93% 10.50% 0%

14 47 5 0.1064 10.6382979 23.93% 10.50% 0%

15 47 5 0.1064 10.6382979 23.93% 10.50% 0%

16 47 4 0.0851 8.5106383 23.93% 10.50% 0%

17 47 5 0.1064 10.6382979 23.93% 10.50% 0%

18 47 2 0.0426 4.25531915 23.93% 10.50% 0%

19 47 4 0.0851 8.5106383 23.93% 10.50% 0%

20 48 10 0.2083 20.8333333 23.78% 10.50% 0%

21 48 5 0.1042 10.4166667 23.78% 10.50% 0%

22 48 5 0.1042 10.4166667 23.78% 10.50% 0%

23 49 4 0.0816 8.16326531 23.65% 10.50% 0%

24 49 4 0.0816 8.16326531 23.65% 10.50% 0%

25 49 3 0.0612 6.12244898 23.65% 10.50% 0%

26 49 4 0.0816 8.16326531 23.65% 10.50% 0%

27 49 5 0.1020 10.2040816 23.65% 10.50% 0%

28 50 7 0.1400 14 23.52% 10.50% 0%

29 50 7 0.1400 14 23.52% 10.50% 0%

30 50 12 0.2400 24 23.52% 10.50% 0%

31 50 3 0.0600 6 23.52% 10.50% 0%

32 50 14 0.2800 28 23.52% 10.50% 0%

33 50 5 0.1000 10 23.52% 10.50% 0%

34 50 3 0.0600 6 23.52% 10.50% 0%

35 50 4 0.0800 8 23.52% 10.50% 0%

36 51 5 0.0980 9.80392157 23.39% 10.50% 0%

37 51 7 0.1373 13.7254902 23.39% 10.50% 0%


38 51 3 0.0588 5.88235294 23.39% 10.50% 0%

39 51 5 0.0980 9.80392157 23.39% 10.50% 0%

40 52 5 0.0962 9.61538462 23.26% 10.50% 0%

41 52 2 0.0385 3.84615385 23.26% 10.50% 0%

42 52 14 0.2692 26.9230769 23.26% 10.50% 0%

43 52 6 0.1154 11.5384615 23.26% 10.50% 0%

44 52 4 0.0769 7.69230769 23.26% 10.50% 0%

45 52 2 0.0385 3.84615385 23.26% 10.50% 0%

46 53 6 0.1132 11.3207547 23.14% 10.50% 0%

47 53 10 0.1887 18.8679245 23.14% 10.50% 0%

48 53 8 0.1509 15.0943396 23.14% 10.50% 0%

49 53 5 0.0943 9.43396226 23.14% 10.50% 0%

50 53 4 0.0755 7.54716981 23.14% 10.50% 0%

suma 2446 257 5.2262

Pbarra = 0.1050695

(Total de Producto Defectuoso)/(Total de Producto Producido)

(257/2446)=0.105


0

0.05

0.1

0.15

0.2

0.25

0.3

1 2 3 4 5 6 7 8 9101112131415161718192021222324252627282930313233343536373839404142434445464748495051

P (

Fra

cc.

Defe

ctu

osa)

Muestras

Grfico de Control P de Fraccin Defectuosa (Tamao de Muestra Variable)

practica calificada 2.pdf

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