Ejercicios Por Variables

7/23/2019 Ejercicios Por Variables

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x1 x2 x3 x4 x5 Promedio

1.855 1.162 1.606 2.01 1.929 1.7124

2.02 1.473 1.502 2.471 1.518 1.7968

2.378 1.525 1.743 2.193 1.492 1.8662

1.644 1.87 1.703 1.745 1.64 1.7204

2.189 2.281 1.854 1.945 1.801 2.014

1.828 1.793 1.943 1.894 1.971 1.8858

2.614 1.976 1.649 1.827 2.179 2.049

2.298 2.533 2.681 1.548 2.233 2.2586

1.917 2.28 1.817 2.333 1.773 2.024

1.823 2.06 2.29 1.471 1.364 1.8016

2.431 1.267 1.737 2.011 2.061 1.9014

1.756 1.611 1.57 1.563 1.42 1.584

2.047 1.931 2.805 1.926 1.988 2.1394

1.756 1.895 1.723 1.901 1.873 1.8296

1.677 1.888 1.751 1.763 1.821 1.78

2.351 1.79 2.416 2.305 1.985 2.1694

1.93 2.133 1.976 2.133 2.107 2.0558

1.833 1.575 2.039 1.492 1.838 1.7554

1.941 1.788 2.077 1.607 1.376 1.7578

1.883 2.22 1.581 2.29 1.105 1.8158

Promedio 1.8959

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

1

1.2

1.4

1.6

1.8

2

2.2

2.4

Grafca de Control de Promedios de la Dureza en Múl

i

I

m

P

r

o

m

e

d

i

os

1.6000

Grafca de Control de #an$os de la Dureza en Múl

I

#



Conclusi"n% &a dureza en

Ca

LSE= 3

LCE= 2

LIE= 1

C) 3-1

=60.2845

C*) 0.8959 =30.2845

P)P1,P2

-&/) -3.1490 P) !1-0.99915530

P) 0.000899

-&/) 3.8808 P) 0.0008

PPM+s) 89.9

PPM+s &/) 844.7

PPM+s &/ 52.2

/stimador de la desiaci)

1 2 3 4 5 6 7 8 9 10 11 1213 1415 16 171819 20

0.0000

0.2000

0.4000

0.6000

0.8000

1.0000

1.2000

.

I

m

an$os





#an$o & &C &C &C #an$os &C #an$os

0.8480 1.5141 1.8959 2.2777 0 0.6617

0.9980 1.5141 1.8959 2.2777 0 0.6617

0.8860 1.5141 1.8959 2.2777 0 0.6617

0.2300 1.5141 1.8959 2.2777 0 0.6617

0.4800 1.5141 1.8959 2.2777 0 0.6617

0.1780 1.5141 1.8959 2.2777 0 0.6617

0.9650 1.5141 1.8959 2.2777 0 0.6617

1.1330 1.5141 1.8959 2.2777 0 0.6617

0.5600 1.5141 1.8959 2.2777 0 0.6617

0.9260 1.5141 1.8959 2.2777 0 0.6617

1.1640 1.5141 1.8959 2.2777 0 0.6617

0.3360 1.5141 1.8959 2.2777 0 0.6617

0.8790 1.5141 1.8959 2.2777 0 0.6617

0.1780 1.5141 1.8959 2.2777 0 0.6617

0.2110 1.5141 1.8959 2.2777 0 0.6617

0.6260 1.5141 1.8959 2.2777 0 0.6617

0.2030 1.5141 1.8959 2.2777 0 0.6617

0.5470 1.5141 1.8959 2.2777 0 0.6617

0.7010 1.5141 1.8959 2.2777 0 0.6617

1.1850 1.5141 1.8959 2.2777 0 0.6617

0.1

nterretaci"n% &os romedios de ladureza en los multiles de admici"n

esta 'a(o control estadistico

iles de !dmisi"n

Promedio

LIS

LC

LSC

tiles de !dmisi"n

I



ultiles de admici"n esta 'a(o control

cidad del Proceso

0.6617= 0.2845

2.326

1.1

1.05

PPM+s

"#!1-0.99994780" 1000000 100

$ 0.08969

69100 0.0899

$= 10000000.08969

100

$= 89.989.9

n erre ac n% os ran$os e adureza en los multiles de admici"n

esta 'a(o control estadistico

"n /standar

Rango

LIC Rangos

LC Rangos

LSC Rangos





&C #an$os %orma&idad

1.3988 1.855

1.3988 2.02

1.3988 2.378

1.3988 1.644

1.3988 2.189

1.3988 1.828

1.3988 2.614

1.3988 2.298

1.3988 1.917

1.3988 1.823

1.3988 2.431

1.3988 1.756

1.3988 2.047

1.3988 1.756

1.3988 1.677

1.3988 2.351

1.3988 1.93

1.3988 1.833

1.3988 1.941

1.3988 1.883

1.162

1.473

1.525

1.87

2.2811.793

1.976

2.533

2.28

2.06

1.267

1.611

1.931

1.895

1.8881.79

2.133

1.575

1.788

2.22

1.606

1.502



1.743

1.703

1.854

1.943

1.649

2.681

1.817

2.29

1.737

1.57

2.805

1.723

1.751

2.416

1.976

2.039

2.077

1.581

2.01

2.471

2.193

1.745

1.945

1.894

1.827

1.5482.333

1.471

2.011

1.563

1.926

1.901

1.763

2.305

2.133

1.4921.607

2.29

1.929

1.518

1.492

1.64

1.801



1.971

2.179

2.233

1.773

1.364

2.061

1.42

1.988

1.873

1.821

1.985

2.107

1.838

1.376

1.105



'1 '2 '3 '4 '5 '6

0.85 0.65 0.65 0.7 0.75 0.85

0.65 0.75 0.6 0.7 0.75 0.7

0.8 0.65 0.75 0.75 0.7 0.6

0.6 0.7 0.8 0.8 0.75 0.6

0.65 0.7 0.85 0.75 0.85 0.75

0.7 0.85 0.75 0.7 0.7 0.6

0.65 0.6 0.6 0.65 0.55 0.5

0.8 0.65 0.75 0.65 0.65 0.6



'7 '8 '9 '10 '11 '12

0.75 0.85 0.8 0.8 0.75 0.7

0.65 0.8 0.6 0.75 0.75 0.7

0.75 0.75 0.75 0.85 0.85 0.8

0.8 0.75 0.9 0.5 0.75 0.85

0.8 0.8 0.8 0.75 0.75 0.8

0.7 0.7 0.65 0.65 0.85 0.65

0.65 0.8 0.75 0.65 0.65 0.8

0.65 0.6 0.65 0.7 0.7 0.6



(a)o *n+,ra

1 772

2 756

3 756

4 744

5 802

6 783

7 747

8 804

9 787

10 773

11 780

12 726

13 809

14 766

15 779

16 733

17 722

18 754

19 748

20 791

21 753

22 719

23 742

24 760

25 77426 758

27 762

28 758

29 777

30 734

31 745

32 774

33 744

34 757

35 75736 767

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Ejercicios Por Variables