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Cartas X,R,C,P
9
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Ejercicio de las cartas X,R,C y P
Transcript of Cartas X,R,C,P
7/21/2019 Cartas X,R,C,P
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GRAFICA DE CONTROL POR ATRIBUTOS Y VARIABLES
7/21/2019 Cartas X,R,C,P
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MUESTRA
OBSERVACIONES X R
174
67
66
71
70
69
60
63
70
64
67.4 14
263
66
71
59
58
73
56
49
67
61
62.3 24
357
59
62
59
60
58
60
60
61
51
58.7 11
473
69
51
50
60
70
72
71
65
68
64.9 23
55
6
5
7
5
9
6
0
5
9
5
7
5
8
6
1
6
2
5
758.6 5
667
72
65
71
65
59
73
59
65
71
66.7 14
755
59
60
66
70
57
51
62
65
74
61.9 23
860
57
61
55
70
69
53
71
63
68
62.7 18
970
73
58
69
65
71
67
69
65
57
66.4 16
1061
60
58
62
69
67
62
64
62
70
63.5 12
11 74 72 72 75 73 68 72 69 71 70 71.6 7
1262
70
56
55
69
64
71
57
63
76
64.3 21
1367
70
57
65
62
51
50
60
70
59
61.1 20
1451
50
60
70
65
59
60
59
57
70
60.1 20
1559
60
59
57
62
65
71
65
59
61
61.8 14
1665
71
65
59
54
60
66
70
57
62
62.9 17
17 60
66
70
57
72
61
55
70
69
72
65.2 17
1861
55
70
69
51
58
69
65
71
71
64 20
1958
69
65
71
59
60
51
50
60
70
61.3 20
2069
70
67
69
65
71
59
60
59
57
64.6 14
2170
73
77
69
60
66
65
71
65
59
67.5 18
225
5
6
0
6
0
6
1
6
1
5
5
6
0
6
6
7
0
5
7
60.5 15
2356
69
71
51
50
60
51
50
60
70
58.8 21
2459
64
61
59
60
59
59
60
59
57
59.7 7
2558
63
59
65
71
65
65
71
65
59
64.1 12
2673
64
62
60
66
70
60
66
70
57
64.8 16
2770
67
71
61
55
70
61
55
70
69
64.9 16
28
7
3
7
7
6
9
5
8
6
9
6
5
5
1
5
0
6
0
7
0 64.2 2629
60
60
62
59
74
57
59
60
59
57
60.7 17
3069
71
65
60
52
58
65
71
65
59
63.5 19
3164
61
62
71
78
73
60
66
70
57
66.2 21
3263
59
54
63
71
57
61
55
70
69
62.2 17
3378
73
64
67
58
72
58
69
65
71
67.5 20
34 71 57 63 60 74 57 58 61 69 73 64.3 17
3558
72
71
71
63
60
51
50
60
70
62.6 22
3674
57
58
61
52
61
59
60
59
57
59.8 22
3776
68
56
69
58
72
65
71
65
59
65.9 20
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CARTA X
FORMULA:
0
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CARTA X
X LSC LC LIC
CARTAR
LSC X
= X
+
A 2 R
LSC X
=
63.3878049+0.308!
LIC X
= X
"
A 2 R
LIC X
=
63.3878049 "0.308!
TENEMOS UNA CONFIABILI#A# #EL 97.56 $ %OR LO TANTO SE LE RECOMIEN#A ASABRITAS &UE %ROCURE 'ACER LAS BOLITAS #EL MISMO TAMA(O ) ASI %UE#AN TENER
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0
5
10
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25
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35
CARTA R
R LSC LC LIC
MUESTRA OBSERVACIONES #EFECTO %RO%ORCIO
LSCR =
D4 R
LSCR = 1.777!17.46341463!
LSCR = 31.0324878
LICR =
D3 R
LICR = 0!17.46341463!
LSCR = 0
A&U* TENEMOS UN 100$ #E CONFIABILI#A# EN ESTE CASO SE LERECOMIEN#A A SABRITAS &UE SI,A CON SU MISMO %ROCESO %UES ESTACUM%LIEN#O CON EL ESTAN#AR.
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S CARTAC
N CARTA %
1 74 67 66 71 70 69 60 63 70 64 10 1
2 63 66 71 59 58 73 56 49 67 61 8 0.8
3 57 59 62 59 60 58 60 60 61 51 8 0.84 73 69 51 50 60 70 72 71 65 68 10 1
5 56 57 59 60 59 57 58 61 62 57 5 0.5
6 67 72 65 71 65 59 73 59 65 71 10 1
7 55 59 60 66 70 57 51 62 65 74 9 0.9
8 60 57 61 55 70 69 53 71 63 68 9 0.9
9 70 73 58 69 65 71 67 69 65 57 8 0.8
10 61 60 58 62 69 67 62 64 62 70 9 0.9
11 74 72 72 75 73 68 72 69 71 70 9 0.9
12 62 70 56 55 69 64 71 57 63 76 8 0.813 67 70 57 65 62 51 50 60 70 59 9 0.9
14 51 50 60 70 65 59 60 59 57 70 9 0.9
15 59 60 59 57 62 65 71 65 59 61 9 0.9
16 65 71 65 59 54 60 66 70 57 62 9 0.9
17 60 66 70 57 72 61 55 70 69 72 9 0.9
18 61 55 70 69 51 58 69 65 71 71 9 0.9
19 58 69 65 71 59 60 51 50 60 70 9 0.9
20 69 70 67 69 65 71 59 60 59 57 9 0.9
21 70 73 77 69 60 66 65 71 65 59 10 1
22 55 60 60 61 61 55 60 66 70 57 9 0.9
23 56 69 71 51 50 60 51 50 60 70 9 0.9
24 59 64 61 59 60 59 59 60 59 57 9 0.9
25 58 63 59 65 71 65 65 71 65 59 9 0.9
26 73 64 62 60 66 70 60 66 70 57 9 0.9
27 70 67 71 61 55 70 61 55 70 69 10 1
28 73 77 69 58 69 65 51 50 60 70 9 0.9
29 60 60 62 59 74 57 59 60 59 57 8 0.8
30 69 71 65 60 52 58 65 71 65 59 9 0.9
31 64 61 62 71 78 73 60 66 70 57 9 0.932 63 59 54 63 71 57 61 55 70 69 9 0.9
33 78 73 64 67 58 72 58 69 65 71 8 0.8
34 71 57 63 60 74 57 58 61 69 73 7 0.7
35 58 72 71 71 63 60 51 50 60 70 9 0.9
36 74 57 58 61 52 61 59 60 59 57 7 0.7
37 76 68 56 69 58 72 65 71 65 59 8 0.8
38 60 63 59 64 74 57 60 66 70 57 8 0.8
39 61 55 58 63 52 58 61 55 70 69 8 0.8
40 61 55 73 64 59 75 58 69 65 71 9 0.941 49 63 71 65 74 68 62 58 57 68 9 0.9
-= 41 =10 =410 3570.87073170
7
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CARTAP
0
0.2
0.4
0.6
0.8
1
1.2
CARTA %
%RO%ORCION CARTA % LSC LC
LIC
P =
DEFECTOS
LSC %= P
+ 3( )n
P P −1
LSC %= 0.870731707 + 3( )
410
870731707.01870731707.0 −
=
LIC %= P
" 3
LIC %= = 0.870731707 " 3( )
410
870731707.01870731707.0 −
LSC % = 0.8210247115
EN LA CARTA % SE NOS MUESTRA UN 68.29$ #E CONFIABILI#A# ESTONOS #ICE &UE LAS BOLSAS #E C'ETOS SON MU) IRRE,ULARES %OR
TANTO LA EM%RESA #EBE #E VERIFICAR TENER EN UN CONSTANTEE&UILIBRIO ESTO %ARA &UE EL CLIENTE ESTE SATISFEC'O.
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0
2
4
6
8
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12
CARTA C
#EFECTOS CARTA C LSC
LC LIC
EVIDENCIA
C =
n
DEFECTOS ∑
LSCC =C
" 3SC
LSCC = 8.70731707 + 32.95081634!
LSCC = 0
LSCC =C
+ 3SC
LSCC = 8.70731707 + 32.95081634!
LSCC = 17.55976609
EN LA CARTA C TENEMOS UN ALTO NIVEL #E ERRORES ESTO &UIERE#ECIR &UE LA EM%RESA #EBE TRABA/AR MAS EN ESTO ) BUSCAR UNA
SOLUCION RA%I#A A ESTE TI%O #E SITUACION.
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