cep_trab_prac_4.xlsx
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Transcript of cep_trab_prac_4.xlsx
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Muestra Pureza Ci C+1 89.46 90 -0.54 0 -0.942 89.78 90 -0.76 0 -0.623 90.05 90 -0.71 0 -0.354 89.11 90 -1.6 0 -1.295 90.59 90 -1.01 0 0.196 91.03 90 0.02 0 0.827 90.63 90 0.65 0 1.058 90.75 90 1.4 0 1.49 88.17 90 -0.43 0 -0.83
10 91.23 90 0.8 0 0.8311 90.92 90 1.72 0 1.3512 88.85 90 0.57 0 -0.213 90.87 90 1.44 0 0.4714 89.65 90 1.09 0 -0.2815 90.15 90 1.24 0 -0.2516 88.55 90 -0.21 0 -1.8517 90.43 90 0.22 0 0.0318 91.04 90 1.26 0 0.6719 90.73 90 1.99 0 120 89.88 90 1.87 0 0.48
k= 0.5= 0.8
K= 0.4
Muestra Pureza Ci C+1 89.46 90 -0.54 0 -0.942 89.78 90 -0.76 0 -0.623 90.05 90 -0.71 0 -0.354 89.11 90 -1.6 0 -1.295 90.59 90 -1.01 0 0.196 91.03 90 0.02 0 0.827 90.63 90 0.65 0 1.058 90.75 90 1.4 0 1.49 88.17 90 -0.43 0 -0.83
10 91.23 90 0.8 0 0.8311 90.92 90 1.72 0 1.3512 88.85 90 0.57 0 -0.213 90.87 90 1.44 0 0.47
Valor Objetivo
K=k*
Valor Objetivo
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14 89.65 90 1.09 0 -0.2815 90.15 90 1.24 0 -0.2516 88.55 90 -0.21 0 -1.8517 90.43 90 0.22 0 0.0318 91.04 90 1.26 0 0.6719 90.73 90 1.99 0 120 89.88 90 1.87 0 0.48
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C+mx C- C-mx Cmx Cmx'
0 0 0.14 0.14 0.14 -0.140 0 -0.04 0 0 00 0 -0.45 0 0 00 0 0.49 0.49 0.49 -0.49
0.19 0 -0.5 0 0.19 0.190.82 0 -1.43 0 0.82 0.821.05 0 -1.03 0 1.05 1.05
1.4 0 -1.15 0 1.4 1.40 0 1.43 1.43 1.43 -1.43
0.83 0 -0.2 0 0.83 0.831.35 0 -1.32 0 1.35 1.35
0 0 0.75 0.75 0.75 -0.750.47 0 -0.52 0 0.47 0.47
0 0 -0.05 0 0 00 0 -0.55 0 0 00 0 1.05 1.05 1.05 -1.05
0.03 0 0.22 0.22 0.22 -0.220.67 0 -1.22 0 0.67 0.67
1 0 -1.13 0 1 10.48 0 -0.28 0 0.48 0.48
h==
C+max C- C-max Cmax' H+0 0 0.14 0.14 -0.14 40 0 -0.04 0 0 40 0 -0.45 0 0 40 0 0.49 0.49 -0.49 4
0.19 0 -0.5 0 0.19 40.82 0 -1.43 0 0.82 41.05 0 -1.03 0 1.05 4
1.4 0 -1.15 0 1.4 40 0 1.43 1.43 -1.43 4
0.83 0 -0.2 0 0.83 41.35 0 -1.32 0 1.35 4
0 0 0.75 0.75 -0.75 40.47 0 -0.52 0 0.47 4
10 )(,0max iii CKxC
10 )(,0max iii CxKC
.hH
-
0 0 -0.05 0 0 40 0 -0.55 0 0 40 0 1.05 1.05 -1.05 4
0.03 0 0.22 0.22 -0.22 40.67 0 -1.22 0 0.67 4
1 0 -1.13 0 1 40.48 0 -0.28 0 0.48 4
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H+ H-4 -44 -44 -44 -44 -44 -44 -44 -44 -44 -44 -44 -44 -44 -44 -44 -44 -44 -44 -44 -4
5 H= 40.8
H--4-4-4-4-4-4-4-4-4-4-4-4-4
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-2-1.5
-1-0.5
00.5
11.5
22.5
CUSUM suma acumulada
Ci
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-5-4-3-2-1012345
CUSUM tabular
Cmx'H+H-
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-5-4-3-2-1012345
Cmax'H+H-
10 )(,0max iii CKxC
10 )(,0max iii CxKC
-
-4-4-4-4-4-4-4
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-5-4-3-2-1012345
Cmax'H+H-
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-2-1.5
-1-0.5
00.5
11.5
22.5
CUSUM suma acumulada
Ci
-
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-2-1.5
-1-0.5
00.5
11.5
22.5
CUSUM suma acumulada
Ci
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-5-4-3-2-1012345
CUSUM tabular
Cmx'H+H-
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-5-4-3-2-1012345
Cmax'H+H-
-
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-5-4-3-2-1012345
Cmax'H+H-
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-2-1.5
-1-0.5
00.5
11.5
22.5
CUSUM suma acumulada
Ci
-
Lote Concentracin ( g/l) C+1 106.7 100 2.9 02 105.4 100 2.9 03 104.5 100 2.9 04 99.9 100 2.9 05 94.6 100 2.9 06 94.8 100 2.9 07 100.3 100 2.9 08 104.4 100 2.9 09 99.4 100 2.9 0
10 96.8 100 2.9 0
Lote Concentracin ( g/l) C+1 106.7 100 2.9 02 105.4 100 2.9 03 104.5 100 2.9 04 99.9 100 2.9 05 94.6 100 2.9 06 94.8 100 2.9 07 100.3 100 2.9 08 104.4 100 2.9 09 99.4 100 2.9 0
10 96.8 100 2.9 0
0 (g/l)
0 (g/l)
10 )(,0max iii CKxC
10 )(,0max iii CxKC
.hH .kK
-
C+ C- C+mx C-mx Cmx5.25 0 -8.15 5.25 0 5.25
9.2 0 -6.85 9.2 0 9.212.25 0 -5.95 12.25 0 12.25
10.7 0 -1.35 10.7 0 10.73.85 0 3.95 3.85 3.95 -3.95-2.8 0 7.7 0 7.7 -7.7
-1.15 0 5.95 0 5.95 -5.952.95 0 0.1 2.95 0.1 2.95
0.9 0 -0.75 0.9 0 0.9-3.75 0 1.75 0 1.75 -1.75
C+ C- C+mx C-mx Cmx5.25 0 -8.15 5.25 0 5.25
9.2 0 -6.85 9.2 0 9.212.25 0 -5.95 12.25 0 12.25
10.7 0 -1.35 10.7 0 10.73.85 0 3.95 3.85 3.95 -3.95-2.8 0 7.7 0 7.7 -7.7
-1.15 0 5.95 0 5.95 -5.952.95 0 0.1 2.95 0.1 2.95
0.9 0 -0.75 0.9 0 0.9-3.75 0 1.75 0 1.75 -1.75
1 2 3 4 5 6 7 8 9 10
-20
-15
-10
-5
0
5
10
15
20
CmxH+H-
-
H+ H-14.5 -14.514.5 -14.514.5 -14.514.5 -14.514.5 -14.514.5 -14.514.5 -14.514.5 -14.514.5 -14.514.5 -14.5
H+ H-14.5 -14.514.5 -14.514.5 -14.514.5 -14.514.5 -14.514.5 -14.514.5 -14.514.5 -14.514.5 -14.514.5 -14.5
1 2 3 4 5 6 7 8 9 10
-20
-15
-10
-5
0
5
10
15
20
CmxH+H-
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x L 1 1050 1100 2.8 0.1 252 1087 1100 2.8 0.1 253 1139 1100 2.8 0.1 254 1146 1100 2.8 0.1 255 1125 1100 2.8 0.1 256 1045 1100 2.8 0.1 257 1169 1100 2.8 0.1 258 1055 1100 2.8 0.1 259 1037 1100 2.8 0.1 25
10 1064 1100 2.8 0.1 2511 1095 1100 2.8 0.1 2512 1008 1100 2.8 0.1 2513 1151 1100 2.8 0.1 2514 1238 1100 2.8 0.1 2515 1128 1100 2.8 0.1 2516 1125 1100 2.8 0.1 2517 1163 1100 2.8 0.1 2518 1167 1100 2.8 0.1 2519 1146 1100 2.8 0.1 2520 1188 1100 2.8 0.1 25
x L 1 1050 1100 2.8 0.1 252 1087 1100 2.8 0.1 253 1139 1100 2.8 0.1 254 1146 1100 2.8 0.1 255 1125 1100 2.8 0.1 256 1045 1100 2.8 0.1 257 1169 1100 2.8 0.1 258 1055 1100 2.8 0.1 259 1037 1100 2.8 0.1 25
Numero de observacin
Valor Objetivo
Numero de observacin
Valor Objetivo
1)1( iii zxz
izi 222 )1(12
-
10 1064 1100 2.8 0.1 2511 1095 1100 2.8 0.1 2512 1008 1100 2.8 0.1 2513 1151 1100 2.8 0.1 2514 1238 1100 2.8 0.1 2515 1128 1100 2.8 0.1 2516 1125 1100 2.8 0.1 2517 1163 1100 2.8 0.1 2518 1167 1100 2.8 0.1 2519 1146 1100 2.8 0.1 2520 1188 1100 2.8 0.1 25
x Ci C+
1 1050 1100 -50 0 -62.52 1087 1100 -63 0 -25.53 1139 1100 -24 0 26.54 1146 1100 22 0 605 1125 1100 47 0 72.56 1045 1100 -8 0 57 1169 1100 61 0 61.58 1055 1100 16 0 49 1037 1100 -47 0 -71.5
10 1064 1100 -83 0 -48.511 1095 1100 -88 0 -17.512 1008 1100 -180 0 -104.513 1151 1100 -129 0 38.514 1238 1100 9 0 16415 1128 1100 37 0 179.516 1125 1100 62 0 19217 1163 1100 125 0 242.518 1167 1100 192 0 29719 1146 1100 238 0 330.520 1188 1100 326 0 406
Numero de observacin
Valor Objetivo
-
Zi LSC LC LIC
2.5 1095 1107 1100 10933.36340601 1094.2 1109.41754 1100 1090.58246
3.9259553 1098.68 1110.99267 1100 1089.007334.32835202 1103.412 1112.11939 1100 1087.880614.62872027 1105.5708 1112.96042 1100 1087.03958
4.8584248 1099.51372 1113.60359 1100 1086.396415.0368121 1106.46235 1114.10307 1100 1085.89693
5.17680169 1101.31611 1114.49504 1100 1085.504965.28747703 1094.8845 1114.80494 1100 1085.195065.37545391 1091.79605 1115.05127 1100 1084.948735.44567341 1092.11645 1115.24789 1100 1084.752115.50189428 1083.7048 1115.4053 1100 1084.5947
5.5470155 1090.43432 1115.53164 1100 1084.468365.58329639 1105.19089 1115.63323 1100 1084.366775.61251199 1107.4718 1115.71503 1100 1084.284975.63606561 1109.22462 1115.78098 1100 1084.219025.65507213 1114.60216 1115.8342 1100 1084.16585.67042071 1119.84194 1115.87718 1100 1084.122825.68282268 1122.45775 1115.9119 1100 1084.08815.69284846 1129.01197 1115.93998 1100 1084.06002
zi zi LSC LC LIC2.5 1095 1107 1100 1093
3.36340601 1094.2 1109.41754 1100 1090.582463.9259553 1098.68 1110.99267 1100 1089.00733
4.32835202 1103.412 1112.11939 1100 1087.880614.62872027 1105.5708 1112.96042 1100 1087.03958
4.8584248 1099.51372 1113.60359 1100 1086.396415.0368121 1106.46235 1114.10307 1100 1085.89693
5.17680169 1101.31611 1114.49504 1100 1085.504965.28747703 1094.8845 1114.80494 1100 1085.19506
Zi
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 201080
1090
1100
1110
1120
1130
1140
LSCLCLICZi
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 201060
1070
1080
1090
1100
1110
1120
1130
1140
LSCLCLICzi
iLLSC 20 )1(1)2( 0LC
iLLIC 20 )1(1)2(
-
5.37545391 1091.79605 1115.05127 1100 1084.948735.44567341 1092.11645 1115.24789 1100 1084.752115.50189428 1083.7048 1115.4053 1100 1084.5947
5.5470155 1090.43432 1115.53164 1100 1084.468365.58329639 1105.19089 1115.63323 1100 1084.366775.61251199 1107.4718 1115.71503 1100 1084.284975.63606561 1109.22462 1115.78098 1100 1084.219025.65507213 1114.60216 1115.8342 1100 1084.16585.67042071 1119.84194 1115.87718 1100 1084.122825.68282268 1122.45775 1115.9119 1100 1084.08815.69284846 1129.01197 1115.93998 1100 1084.06002
C+max C- C-max Cmax' H+
0 0 37.5 37.5 -37.5 1250 0 38 38 -38 125
26.5 0 -13.5 0 26.5 12560 0 -58.5 0 60 125
72.5 0 -37.5 0 72.5 1255 0 42.5 42.5 -42.5 125
61.5 0 -39 0 61.5 1254 0 32.5 32.5 -32.5 1250 0 83 83 -83 1250 0 106.5 106.5 -106.5 1250 0 99 99 -99 1250 0 178.5 178.5 -178.5 125
38.5 0 115 115 -115 125164 0 -35.5 0 164 125
179.5 0 -40.5 0 179.5 125192 0 -37.5 0 192 125
242.5 0 -75.5 0 242.5 125297 0 -79.5 0 297 125
330.5 0 -58.5 0 330.5 125406 0 -100.5 0 406 125
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 201060
1070
1080
1090
1100
1110
1120
1130
1140
LSCLCLICzi
-
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 201080
1090
1100
1110
1120
1130
1140
LSCLCLICZi
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 201060
1070
1080
1090
1100
1110
1120
1130
1140
LSCLCLICzi
-
H-
-125-125-125-125-125-125-125-125-125-125-125-125-125-125-125-125-125-125-125-125
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 201060
1070
1080
1090
1100
1110
1120
1130
1140
LSCLCLICzi
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-300
-200
-100
0
100
200
300
400
CiLC
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-300
-200
-100
0
100
200
300
400
500
Cmax'H+H-
-
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 201060
1070
1080
1090
1100
1110
1120
1130
1140
LSCLCLICzi
-
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 201060
1070
1080
1090
1100
1110
1120
1130
1140
LSCLCLICzi
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-300
-200
-100
0
100
200
300
400
CiLC
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-300
-200
-100
0
100
200
300
400
500
Cmax'H+H-
-
Jul-06 Jul-07 Jul-08 Jul-09 Jul-10 Jul-11973 989 981 1003 954 977972 1004 1001 1000 971 953964 982 1005 980 991 1000945 963 959 963 973 1002969 958 968 999 996 978
964.6 979.2 982.8 989 977 982
Muestra CiJul-06 964.6 990 -25.4Jul-07 979.2 990 -36.2Jul-08 982.8 990 -43.4Jul-09 989 990 -44.4Jul-10 977 990 -57.4Jul-11 982 990 -65.4Jul-12 981.6 990 -73.8Jul-13 976.6 990 -87.2Jul-14 968 990 -109.2Jul-15 972.6 990 -126.6Jul-16 980 990 -136.6Jul-17 984.666667 990 -141.933333Jul-18 995.25 990 -136.683333Jul-19 970.8 990 -155.883333
Xi 0
1 2 3 4 5 6 7 8 9 10 11 12 13 14
-180-160-140-120-100-80-60-40-20
0
CUSUM de suma acumulativa
Ci
-
Jul-12 Jul-13 Jul-14 Jul-15 Jul-16 Jul-17969 992 951 1005 953 10201011 971 971 949 976 960977 998 998 986 993 974986 953 952 971 984965 969 952 994
981.6 976.6 968 972.6 980 984.666667
1 2 3 4 5 6 7 8 9 10 11 12 13 14
-180-160-140-120-100-80-60-40-20
0
CUSUM de suma acumulativa
Ci
-
Jul-18 Jul-19986 942987 9941007 9521001 996
970
995.25 970.8
-
= 2 g/l
Jul-06 Jul-07 Jul-08 Jul-09 Jul-10 Jul-11973 989 981 1003 954 977972 1004 1001 1000 971 953964 982 1005 980 991 1000945 963 959 963 973 1002969 958 968 999 996 978
964.6 979.2 982.8 989 977 982
Muestra Xi 0 K=k* H+=h*Jul-06 964.6 2 990 1 10Jul-07 979.2 2 990 1 10Jul-08 982.8 2 990 1 10Jul-09 989 2 990 1 10Jul-10 977 2 990 1 10Jul-11 982 2 990 1 10Jul-12 981.6 2 990 1 10Jul-13 976.6 2 990 1 10Jul-14 968 2 990 1 10Jul-15 972.6 2 990 1 10Jul-16 980 2 990 1 10Jul-17 984.666667 2 990 1 10Jul-18 995.25 2 990 1 10Jul-19 970.8 2 990 1 10
10 )(,0max iii CKxC
10 )(,0max iii CxKC
-
Jul-12 Jul-13 Jul-14 Jul-15 Jul-16 Jul-17969 992 951 1005 953 10201011 971 971 949 976 960977 998 998 986 993 974986 953 952 971 984965 969 952 994
981.6 976.6 968 972.6 980 984.666667
H-= -h* C+ C- C+mx-10 0 -26.4 0 24.4 0-10 0 -11.8 0 34.2 0-10 0 -8.2 0 40.4 0-10 0 -2 0 40.4 0-10 0 -14 0 52.4 0-10 0 -9 0 59.4 0-10 0 -9.4 0 66.8 0-10 0 -14.4 0 79.2 0-10 0 -23 0 100.2 0-10 0 -18.4 0 116.6 0-10 0 -11 0 125.6 0-10 0 -6.33333333 0 129.933333 0-10 0 4.25 0 123.683333 4.25-10 0 -15.95 0 141.883333 0
10 )(,0max iii CKxC
10 )(,0max iii CxKC
-
Jul-18 Jul-19986 942987 9941007 9521001 996
970
995.25 970.8
C-mx Cmx Cmx24.4 24.4 -24.434.2 34.2 -34.240.4 40.4 -40.440.4 40.4 -40.452.4 52.4 -52.459.4 59.4 -59.466.8 66.8 -66.879.2 79.2 -79.2
100.2 100.2 -100.2116.6 116.6 -116.6125.6 125.6 -125.6
129.933333 129.933333 -129.933333123.683333 123.683333 -123.683333141.883333 141.883333 -141.883333
1 2 3 4 5 6 7 8 9 10 11 12 13 14
-160-140-120-100-80-60-40-20
020
CUSUM tabular
C H+ H-
-
1 2 3 4 5 6 7 8 9 10 11 12 13 14
-160-140-120-100-80-60-40-20
020
CUSUM tabular
C H+ H-
-
Muestra Viscosidad d2 MR LSC de X LC de X1 495 1.1282 491 1.128 4 551.781803 500.553 501 1.128 10 551.781803 500.554 501 1.128 0 551.781803 500.555 512 1.128 11 551.781803 500.556 540 1.128 28 551.781803 500.557 492 1.128 48 551.781803 500.558 504 1.128 12 551.781803 500.559 542 1.128 38 551.781803 500.55
10 508 1.128 34 551.781803 500.5511 493 1.128 15 551.781803 500.5512 506 1.128 13 551.781803 500.5513 503 1.128 3 551.781803 500.5514 475 1.128 28 551.781803 500.5515 497 1.128 22 551.781803 500.5516 499 1.128 2 551.781803 500.5517 468 1.128 31 551.781803 500.5518 486 1.128 18 551.781803 500.5519 511 1.128 25 551.781803 500.5520 487 1.128 24 551.781803 500.55
X media= 500.55MR medio= 19.2631579
=MR medio/d2 Si las especificaciones del proceso son 500 25= 17.0772676
LSE= 525LIE= 475
Cp= 0.48797814Cpk= 0.48797814
T= 500Cpm= 0.48797814Cpkm= 0.48797814
1 ii xxMR
2
2
3
3
dMRxLIC
xLC
dMRxLSC
-
=
n-1=
Cp sup=Cp inf=
=1-=
1616
21,2/
21,2/1
nSLIELSEC
nSLIELSE n
pn
-
LIC de X D3 D4 LSC de MR LC de MR LIC de MR0 3.267 62.9327368 19.2631579 0
449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0449.318197 0 3.267 62.9327368 19.2631579 0
Si las especificaciones del proceso son 500 25
0.48797814
MRDLIC
MRLC
MRDLSC
3
4
6LIELSEC p
3
,3
min LSELIEC pk
22 )(6 TLIELSEC pm
-
0.05
30.14410.117
19
3.374616691.13259677
Donde T= 0,5(LSE + LIE)
22 )(6 TLIELSEC pm
1616
21,2/
21,2/1
nSLIELSEC
nSLIELSE n
pn
-
420
440
460
480
500
520
540
560
Mediciones individuales
LSC de XLC de XLIC de XViscosidadViscosidad (X)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 200
10
20
30
40
50
60
70
LSC de MRLC de MRLIC de MRMR
3
,3
min LSELIEC pk
2
1
TC
C pkpkm
-
Intervalo de confianza del 90%
2
1
TC
C pkpkm
-
Muestra Viscosidad Valor Objetivo Ci1 495 500 -52 491 500 -143 501 500 -134 501 500 -125 512 500 06 540 500 407 492 500 328 504 500 369 542 500 78
10 508 500 8611 493 500 7912 506 500 8513 503 500 8814 475 500 6315 497 500 6016 499 500 5917 468 500 2718 486 500 1319 511 500 2420 487 500 11
420
440
460
480
500
520
540
560
Mediciones individuales
LSC de XLC de XLIC de XViscosidadViscosidad (X)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 200
10
20
30
40
50
60
70
LSC de MRLC de MRLIC de MRMR
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20-20
0
20
40
60
80
100
CUSUM de suma acumulada
Ci
-
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20-20
0
20
40
60
80
100
CUSUM de suma acumulada
Ci
-
Muestra Viscosidad Valor Objetivo H+ H-1 495 500 17.0772676 85.3863382 -85.38633822 491 500 17.0772676 85.3863382 -85.38633823 501 500 17.0772676 85.3863382 -85.38633824 501 500 17.0772676 85.3863382 -85.38633825 512 500 17.0772676 85.3863382 -85.38633826 540 500 17.0772676 85.3863382 -85.38633827 492 500 17.0772676 85.3863382 -85.38633828 504 500 17.0772676 85.3863382 -85.38633829 542 500 17.0772676 85.3863382 -85.3863382
10 508 500 17.0772676 85.3863382 -85.386338211 493 500 17.0772676 85.3863382 -85.386338212 506 500 17.0772676 85.3863382 -85.386338213 503 500 17.0772676 85.3863382 -85.386338214 475 500 17.0772676 85.3863382 -85.386338215 497 500 17.0772676 85.3863382 -85.386338216 499 500 17.0772676 85.3863382 -85.386338217 468 500 17.0772676 85.3863382 -85.386338218 486 500 17.0772676 85.3863382 -85.386338219 511 500 17.0772676 85.3863382 -85.386338220 487 500 17.0772676 85.3863382 -85.3863382
10 )(,0max iii CKxC
10 )(,0max iii CxKC
-
K C+i C-i C+mx8.53863382 0 -13.5386338 0 -3.53863382 08.53863382 0 -17.5386338 0 0.46136618 08.53863382 0 -7.53863382 0 -9.07726764 08.53863382 0 -7.53863382 0 -9.53863382 08.53863382 0 3.46136618 0 -20.5386338 3.461366188.53863382 0 34.9227324 0 -48.5386338 34.92273248.53863382 0 18.3840985 0 -0.53863382 18.38409858.53863382 0 13.8454647 0 -12.5386338 13.84546478.53863382 0 47.3068309 0 -50.5386338 47.30683098.53863382 0 46.7681971 0 -16.5386338 46.76819718.53863382 0 31.2295633 0 -1.53863382 31.22956338.53863382 0 28.6909295 0 -14.5386338 28.69092958.53863382 0 23.1522956 0 -11.5386338 23.15229568.53863382 0 -10.3863382 0 16.4613662 08.53863382 0 -11.5386338 0 10.9227324 08.53863382 0 -9.53863382 0 3.38409854 08.53863382 0 -40.5386338 0 26.8454647 08.53863382 0 -22.5386338 0 32.3068309 08.53863382 0 2.46136618 0 12.7681971 2.461366188.53863382 0 -19.0772676 0 17.2295633 0
10 )(,0max iii CKxC
10 )(,0max iii CxKC
-
C-mx Cmx C mx '0 0 0
0.46136618 0.46136618 -0.461366180 0 00 0 00 3.46136618 3.461366180 34.9227324 34.92273240 18.3840985 18.38409850 13.8454647 13.84546470 47.3068309 47.30683090 46.7681971 46.76819710 31.2295633 31.22956330 28.6909295 28.69092950 23.1522956 23.1522956
16.4613662 16.4613662 -16.461366210.9227324 10.9227324 -10.92273243.38409854 3.38409854 -3.3840985426.8454647 26.8454647 -26.845464732.3068309 32.3068309 -32.306830912.7681971 12.7681971 -12.768197117.2295633 17.2295633 -17.2295633
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-100-80-60-40-20
020406080
100
CUSUM Tabular
C mx 'H+H-
-
p=P(x525)
Z1= 1.46393443Z2= -1.46393443
P(Z1)= 0.071465P(Z2)= 0.071465
p= 0.14293
aproximadamente 15 cada 100 muestras estarn fuera de especificacin
Z=x-/1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-100-80-60-40-20
020406080
100
CUSUM Tabular
C mx 'H+H-
nDp
-
Muestra123456789
1011121314151617
aproximadamente 15 cada 100 muestras estarn fuera de especificacin 181920
-
Viscosidad Valor Objetivo LSE LIE495 500 525 475491 500 525 475501 500 525 475501 500 525 475512 500 525 475540 500 525 475492 500 525 475504 500 525 475542 500 525 475508 500 525 475493 500 525 475506 500 525 475503 500 525 475475 500 525 475497 500 525 475499 500 525 475468 500 525 475 =MR medio/d2486 500 525 475 =511 500 525 475487 500 525 475 LSE=
LIE=
=
n-1=
=1-=
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20460
470
480
490
500
510
520
530
540
550
Valor ObjetivoLSELIEViscosidad
1616
21,2/
21,2/1
nSLIELSEC
nSLIELSE n
pn
-
=MR medio/d2 Cp= 0.4879781417.0772676
525475
1% 0.005 Cpsup= 4.31924964
38.582 Cpinf= 0.766184876.844
19
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20460
470
480
490
500
510
520
530
540
550
Valor ObjetivoLSELIEViscosidad
1616
21,2/
21,2/1
nSLIELSEC
nSLIELSE n
pn
-
Conc. ppm Valor objetivo LSE LIE MR d21.2 1 1.8 0.2 1.1281.4 1 1.8 0.2 0.2 1.1280.9 1 1.8 0.2 0.5 1.1281.6 1 1.8 0.2 0.7 1.1281.8 1 1.8 0.2 0.2 1.1281.2 1 1.8 0.2 0.6 1.1281.3 1 1.8 0.2 0.1 1.1281.9 1 1.8 0.2 0.6 1.1281.1 1 1.8 0.2 0.8 1.1280.9 1 1.8 0.2 0.2 1.128
1 1 1.8 0.2 0.1 1.1281.1 1 1.8 0.2 0.1 1.1280.8 1 1.8 0.2 0.3 1.1280.9 1 1.8 0.2 0.1 1.1281.2 1 1.8 0.2 0.3 1.1281.3 1 1.8 0.2 0.1 1.1281.2 1 1.8 0.2 0.1 1.1281.2 1 1.8 0.2 0 1.1281.1 1 1.8 0.2 0.1 1.1281.3 1 1.8 0.2 0.2 1.128
Xmedia= 1.22MR media= 0.2789473684
=Mrmedia/d2= 0.2472937663
D4= 3.267D3= 0
Cp= 1.0783396226
Cpk= 1.0783396226 1.078339623
Cpm= 1.0783396226 T= 1
Cpkm= 1.0783396226Intervalo del 99% de confianza
= 0.005
n-1=
=1-=
-
LSC de MR LC de MR LIC de MR LSC de x LC de x LIC de x0.91132105 0.27894737 0 2.05684211 1.22 0.383157890.91132105 0.27894737 0 2.05684211 1.22 0.383157890.91132105 0.27894737 0 2.05684211 1.22 0.383157890.91132105 0.27894737 0.3008 2.05684211 1.22 0.383157890.91132105 0.27894737 0 2.05684211 1.22 0.383157890.91132105 0.27894737 #REF! 2.05684211 1.22 0.383157890.91132105 0.27894737 0.3008 2.05684211 1.22 0.383157890.91132105 0.27894737 0.3008 2.05684211 1.22 0.383157890.91132105 0.27894737 0 2.05684211 1.22 0.383157890.91132105 0.27894737 0.3008 2.05684211 1.22 0.383157890.91132105 0.27894737 0 2.05684211 1.22 0.383157890.91132105 0.27894737 0.00139474 2.05684211 1.22 0.383157890.91132105 0.27894737 0 2.05684211 1.22 0.383157890.91132105 0.27894737 0 2.05684211 1.22 0.383157890.91132105 0.27894737 0 2.05684211 1.22 0.383157890.91132105 0.27894737 0 2.05684211 1.22 0.383157890.91132105 0.27894737 0 2.05684211 1.22 0.383157890.91132105 0.27894737 0 2.05684211 1.22 0.383157890.91132105 0.27894737 0 2.05684211 1.22 0.383157890.91132105 0.27894737 0 2.05684211 1.22 0.38315789
Donde T= 0,5(LSE + LIE)
10 )(,0max iii CKxC
10 )(,0max iii CxKC
6LIELSEC p
22 )(6 TLIELSEC pm
-
K H+ H- C+i C-i0.12364688 1.2364688317 -1.236468832 0 0.07635312 00.12364688 1.2364688317 -1.236468832 0 0.35270623 00.12364688 1.2364688317 -1.236468832 0 0.12905935 00.12364688 1.2364688317 -1.236468832 0 0.60541247 00.12364688 1.2364688317 -1.236468832 0 1.28176558 00.12364688 1.2364688317 -1.236468832 0 1.3581187 00.12364688 1.2364688317 -1.236468832 0 1.53447182 00.12364688 1.2364688317 -1.236468832 0 2.31082493 00.12364688 1.2364688317 -1.236468832 0 2.28717805 00.12364688 1.2364688317 -1.236468832 0 2.06353117 00.12364688 1.2364688317 -1.236468832 0 1.93988429 00.12364688 1.2364688317 -1.236468832 0 1.9162374 00.12364688 1.2364688317 -1.236468832 0 1.59259052 00.12364688 1.2364688317 -1.236468832 0 1.36894364 00.12364688 1.2364688317 -1.236468832 0 1.44529675 00.12364688 1.2364688317 -1.236468832 0 1.62164987 00.12364688 1.2364688317 -1.236468832 0 1.69800299 00.12364688 1.2364688317 -1.236468832 0 1.7743561 00.12364688 1.2364688317 -1.236468832 0 1.75070922 00.12364688 1.2364688317 -1.236468832 0 1.92706234 0
3
,3
min LSELIEC pk
2
1
TC
C pkpkm
-
C-i C+mx C-mx Cmx-1.42 0.07635312 0 0.07635312-1.62 0.35270623 0 0.35270623-1.12 0.12905935 0 0.12905935-1.82 0.60541247 0 0.60541247-2.02 1.28176558 0 1.28176558-1.42 1.3581187 0 1.3581187-1.52 1.53447182 0 1.53447182-2.12 2.31082493 0 2.31082493-1.32 2.28717805 0 2.28717805-1.12 2.06353117 0 2.06353117-1.22 1.93988429 0 1.93988429-1.32 1.9162374 0 1.9162374-1.02 1.59259052 0 1.59259052-1.12 1.36894364 0 1.36894364-1.42 1.44529675 0 1.44529675-1.52 1.62164987 0 1.62164987-1.42 1.69800299 0 1.69800299-1.42 1.7743561 0 1.7743561-1.32 1.75070922 0 1.75070922-1.52 1.92706234 0 1.92706234
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-1.5
-1
-0.5
0
0.5
1
1.5
2
2.5
3
CmxH+H-
-
Proceso fuera de control
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
-1.5
-1
-0.5
0
0.5
1
1.5
2
2.5
3
CmxH+H-
Ejercicio 4.1Ejercicio 4.2Ejercicio 4.3Ejercicio 4.4Ejercicio 4.5Ejercicio 4.6Ejercicio 4.7
