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Problema 4

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Muestra X1 X2 X3 X4 Xx R

1 72 84 79 49 71 35
2 56 87 33 42 54.5 54
3 55 73 22 60 52.5 51
4 44 80 54 74 63 36
5 97 41 48 58 61 56
6 83 89 91 62 81.25 29
7 47 66 53 58 56 19
8 88 50 84 69 72.75 38
9 57 47 41 46 47.75 16
10 41 38 37 49 41.25 12
11 26 39 52 48 41.25 26
12 46 27 63 34 42.5 36
13 49 62 78 87 69 38
14 71 63 82 55 67.75 27
15 71 58 69 70 67 13
16 67 69 70 94 75 27
17 55 63 72 49 59.75 23
18 49 51 55 76 57.75 27
19 72 80 61 59 68 21
20 61 74 62 57 63.5 17
60.625 30.05

Muestras y unidades Xmm


K 20 60.625
n 4

Valor nominal y limites de tolerancia Valores


m 60 µ0 60.625
LST 70 σ0 14.5944633
LIT 50

Coeficientes LIMITES DE CONTROL PRPM LIMITES DE CONTROL DIS


A2 0.729 LC 60.625 LR
D4 2.282 LSC 82.53145 LSCR
D3 0 LIC 38.71855 LICR
d2 2.059
LSC LC LIC LSCR LCR LICR CON
82.53145 60.625 38.71855 68.5741 30.05 0 90
82.53145 60.625 38.71855 68.5741 30.05 0 80
82.53145 60.625 38.71855 68.5741 30.05 0 70
82.53145 60.625 38.71855 68.5741 30.05 0 60
82.53145 60.625 38.71855 68.5741 30.05 0 50
82.53145 60.625 38.71855 68.5741 30.05 0 40
82.53145 60.625 38.71855 68.5741 30.05 0 30
82.53145 60.625 38.71855 68.5741 30.05 0 20
82.53145 60.625 38.71855 68.5741 30.05 0 10
82.53145 60.625 38.71855 68.5741 30.05 0 0
0 5
82.53145 60.625 38.71855 68.5741 30.05 0
82.53145 60.625 38.71855 68.5741 30.05 0 Xx

82.53145 60.625 38.71855 68.5741 30.05 0


82.53145 60.625 38.71855 68.5741 30.05 0
82.53145 60.625 38.71855 68.5741 30.05 0 CON
82.53145 60.625 38.71855 68.5741 30.05 0
80
82.53145 60.625 38.71855 68.5741 30.05 0
70
82.53145 60.625 38.71855 68.5741 30.05 0
60
82.53145 60.625 38.71855 68.5741 30.05 0
82.53145 60.625 38.71855 68.5741 30.05 0 50
40
30
Rm 20
30.05
10
0
Cp 0.22839712 0 5
Cpk 0.2141223
R
Cpm 0.22818797
CpmK 0.213926

IMITES DE CONTROL DIS


30.05
68.5741
0
CONTROL PROMEDIO
90
80
70
60
50
40
30
20
10
0
0 5 10 15 20 25

Xx LSC LC LIC

CONTROL DISPERCION
80
70
60
50
40
30
20
10
0
0 5 10 15 20 25

R LSCR LCR LICR

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