Control de Calidad

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Hora x1 x2 x3 x4 x5 x prom R 7:30 35.95 35.9 35.98 35.95 35.9 35.936 0.08 9:30 35.9 35.95 35.95 35.9 35.92 35.924 0.05 11:30 35.91 35.9 35.9 35.88 35.93 35.904 0.05 13:30 35.9 35.92 35.93 35.92 35.95 35.924 0.05 15:30 35.93 35.94 35.92 35.9 35.93 35.924 0.04 17:30 35.92 35.93 35.9 35.91 35.92 35.916 0.03 19:30 35.96 35.94 35.9 35.9 35.9 35.92 0.06 21:30 35.9 35.94 35.9 35.88 35.98 35.92 0.1 7:30 35.96 35.9 35.98 35.94 35.94 35.944 0.08 9:30 35.92 35.94 35.93 35.9 35.99 35.936 0.09 11:30 35.9 35.91 35.9 35.9 35.94 35.91 0.04 13:30 35.91 35.91 35.92 35.94 35.95 35.926 0.04 15:30 35.9 35.9 35.94 35.95 35.92 35.922 0.05 17:30 35.93 35.93 35.91 35.9 35.93 35.92 0.03 19:30 35.92 35.9 35.91 35.94 35.94 35.922 0.04 21:30 35.91 35.91 35.9 35.93 35.9 35.91 0.03 7:30 35.92 35.95 35.94 35.91 35.9 35.924 0.05 9:30 35.9 35.93 35.93 35.93 35.9 35.918 0.03 11:30 35.92 35.95 35.93 35.95 35.9 35.93 0.05 13:30 35.9 35.94 35.94 35.91 35.93 35.924 0.04 Σxprom ΣR 35.9227 0.0515 ESP [35,5±0,5]mm LSE 35,5+0,5=36 para el proce x= Xi/20 35.9227 LIE 35,5-0,5=35 R= R/20 0.0515 Limites de control LCC=x 35.92 LCCR=R 0.0515 LSCx=x+A2*R 35.95 LSCR=R*D4 0.10887 LICx=x-A2*R 35.89 LICR=R*D3 0 Capacidad potencial CPk=LSE-LIE/6σ7.528 σ= R/d2 0.022 Capacidad Real Cp=Zmin/3 1.164 Zsup=LSE-x/σ 3.491 Zmin=x-LIE/σ 41.67

description

ejercicio control de calidad

Transcript of Control de Calidad

Page 1: Control de Calidad

Hora x1 x2 x3 x4 x5 x prom R distrubucion normal7:30 35.95 35.9 35.98 35.95 35.9 35.936 0.08 15.42277369:30 35.9 35.95 35.95 35.9 35.92 35.924 0.05 42.4940333

11:30 35.91 35.9 35.9 35.88 35.93 35.904 0.05 5.6757946813:30 35.9 35.92 35.93 35.92 35.95 35.924 0.05 42.494033315:30 35.93 35.94 35.92 35.9 35.93 35.924 0.04 42.494033317:30 35.92 35.93 35.9 35.91 35.92 35.916 0.03 33.097409419:30 35.96 35.94 35.9 35.9 35.9 35.92 0.06 41.139474321:30 35.9 35.94 35.9 35.88 35.98 35.92 0.1 41.1394743

7:30 35.96 35.9 35.98 35.94 35.94 35.944 0.08 3.109862869:30 35.92 35.94 35.93 35.9 35.99 35.936 0.09 15.4227736

11:30 35.9 35.91 35.9 35.9 35.94 35.91 0.04 16.879333713:30 35.91 35.91 35.92 35.94 35.95 35.926 0.04 40.291574815:30 35.9 35.9 35.94 35.95 35.92 35.922 0.05 42.790049217:30 35.93 35.93 35.91 35.9 35.93 35.92 0.03 41.139474319:30 35.92 35.9 35.91 35.94 35.94 35.922 0.04 42.790049221:30 35.91 35.91 35.9 35.93 35.9 35.91 0.03 16.8793337

7:30 35.92 35.95 35.94 35.91 35.9 35.924 0.05 42.49403339:30 35.9 35.93 35.93 35.93 35.9 35.918 0.03 37.7638105

11:30 35.92 35.95 35.93 35.95 35.9 35.93 0.05 31.527546813:30 35.9 35.94 35.94 35.91 35.93 35.924 0.04 42.4940333

Σxprom ΣR35.9227 0.0515

ESP [35,5±0,5]mmLSE 35,5+0,5=36 para el procesox=∑Xi/20 35.9227LIE 35,5-0,5=35 R=∑R/20 0.0515

Limites de controlLCC=x 35.923 LCCR=R 0.0515LSCx=x+A2*R 35.952 LSCR=R*D4 0.10887LICx=x-A2*R 35.893 LICR=R*D3 0

Capacidad potencialCPk=LSE-LIE/6σ 7.5275σ=∑R/d2 0.0221

Capacidad RealCp=Zmin/3 1.1638Zsup=LSE-x/σ 3.4913Zmin=x-LIE/σ 41.674

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2035.88

35.89

35.9

35.91

35.92

35.93

35.94

35.95

Column G

1 2 3 4 5 6 7 8 9 10111213141516171819200

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Column H

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1015202530354045

f(x) = − 0.439100801135646 x² + 9.17547489835929 x − 1.45457638614162R² = 0.922298253800233

Column NPolynomial (Column N)Polynomial (Column N)

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35.904 5.67579468 0.03 11.232802435.91 16.8793337 0.03 11.232802435.91 16.8793337 0.03 11.2328024

35.916 33.0974094 0.03 11.232802435.918 37.7638105 0.04 16.5773538

35.92 41.1394743 0.04 16.577353835.92 41.1394743 0.04 16.5773538

0.00929686 35.92 41.1394743 0.04 16.577353835.922 42.7900492 0.04 16.577353835.922 42.7900492 0.05 19.32420535.924 42.4940333 0.05 19.32420535.924 42.4940333 0.05 19.324205

0.02058998 35.924 42.4940333 0.05 19.32420535.924 42.4940333 0.05 19.32420535.924 42.4940333 0.05 19.32420535.926 40.2915748 0.06 17.7929274

35.93 31.5275468 0.08 7.4339042635.936 15.4227736 0.08 7.4339042635.936 15.4227736 0.09 3.373189635.944 3.10986286 0.1 1.20899327

5.67579468 11.232802416.8793337 11.232802416.8793337 11.232802433.0974094 11.232802437.7638105 16.577353841.1394743 16.5773538 35 11.232802441.1394743 16.5773538 19.32420541.1394743 16.5773538 1.2089932742.7900492 16.577353842.7900492 19.32420542.4940333 19.32420542.4940333 19.324205 35.89 11.232802442.4940333 19.324205 35.9227 19.32420542.4940333 19.324205 35.9524 1.2089932742.4940333 19.32420540.2915748 17.792927431.5275468 7.4339042615.4227736 7.4339042615.4227736 3.37318963.10986286 1.20899327