Assignment # 3: Controlling a Process
Quality Management – BUSD 2027 – A21
Amabelle Sheila Mendiola; Student # 3064836
Mary Joy Syrelle Martinez; Student # 3069259
Dennis Francis Ballenas; Student # 3067229
Shewhart Chart
Day
Test Result 1
Process check 1
Process check 2
Process check 3
Process check 4
Process check 5
Process check 6
Process check 7
Process check 8
Process check 9
Process check 10
Day 1
Day 2
Day 3
Day 4
Day 5
Day 6
Day 7
Day 8
Day 9
Day 10
Day 11
Day 12
Day 13
Day 14
Day 15
Day 16
Day 17
Day 18
Day 19
Day 20
Day 21
Day 22
Day 23
Day 24
Day 25
Day 26
Day 27
Day 28
Day 29
Day 30
Test Result 2
79
99
92
92
93
112
110
102
102
89
97
91
108
107
100
116
97
102
104
115
107
119
84
104
92
113
104
102
102
93
112
110
110
123
99
131
102
106
112
109
Test Result 3
86
118
105
105
97
101
92
111
104
110
106
98
100
101
103
110
90
87
113
117
100
119
94
94
114
100
104
119
113
105
107
100
107
92
92
111
108
103
106
103
Test Result 4
96
97
101
110
99
89
92
84
100
96
104
100
89
108
100
79
104
88
96
92
91
92
99
89
113
108
132
79
107
111
114
90
130
114
95
117
82
114
103
103
XAve
109
91
96
103
93
100
87
90
118
91
90
85
100
103
89
85
89
92
94
88
116
104
92
115
105
95
116
99
117
96
126
109
94
106
91
104
90
106
106
102
92.5
101.3
98.5
102.5
95.5
100.5
95.3
96.8
106.0
96.5
99.3
93.5
99.3
104.8
98.0
97.5
95.0
92.3
101.8
103.0
103.5
108.5
92.3
100.5
106.0
104.0
114.0
99.8
109.8
101.3
114.8
102.3
110.3
108.8
94.3
115.8
95.5
107.3
106.8
104.3
UCL
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
116.7
+2 Sigma
+1 Sigma Average -1 Sigma -2 Sigma LCL
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
111.7
106.7
101.7
96.7
91.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
86.8
Pooled Var
Range
UCL
+2 Sigma
+1 Sigma
509
30.0
46.8
38.0
29.3
408.75
27.0
46.8
38.0
29.3
97
13.0
46.8
38.0
29.3
173
18.0
46.8
38.0
29.3
27
6.0
46.8
38.0
29.3
265
23.0
46.8
38.0
29.3
306.75
23.0
46.8
38.0
29.3
438.75
27.0
46.8
38.0
29.3
200
18.0
46.8
38.0
29.3
269
21.0
46.8
38.0
29.3
158.75
16.0
46.8
38.0
29.3
141
15.0
46.8
38.0
29.3
182.75
19.0
46.8
38.0
29.3
32.75
7.0
46.8
38.0
29.3
114
14.0
46.8
38.0
29.3
997
37.0
46.8
38.0
29.3
146
15.0
46.8
38.0
29.3
140.75
15.0
46.8
38.0
29.3
224.75
19.0
46.8
38.0
29.3
686
29.0
46.8
38.0
29.3
337
25.0
46.8
38.0
29.3
513
27.0
46.8
38.0
29.3
116.75
15.0
46.8
38.0
29.3
397
26.0
46.8
38.0
29.3
310
22.0
46.8
38.0
29.3
194
18.0
46.8
38.0
29.3
528
28.0
46.8
38.0
29.3
806.75
40.0
46.8
38.0
29.3
130.75
15.0
46.8
38.0
29.3
204.75
18.0
46.8
38.0
29.3
194.75
19.0
46.8
38.0
29.3
260.75
20.0
46.8
38.0
29.3
664.75
36.0
46.8
38.0
29.3
518.75
31.0
46.8
38.0
29.3
38.75
8.0
46.8
38.0
29.3
394.75
27.0
46.8
38.0
29.3
411
26.0
46.8
38.0
29.3
66.75
11.0
46.8
38.0
29.3
42.75
9.0
46.8
38.0
29.3
30.75
7.0
46.8
38.0
29.3
CUSUM Chart
Day
Process check 1
Process check 2
Process check 3
Process check 4
Process check 5
Process check 6
Process check 7
Process check 8
Process check 9
Process check 10
Day 1
Day 2
Day 3
Day 4
Day 5
Day 6
Day 7
Day 8
Day 9
Day 10
Day 11
Day 12
Day 13
Day 14
Day 15
Day 16
Day 17
Day 18
Day 19
Day 20
Day 21
Day 22
Day 23
Day 24
Day 25
Day 26
Day 27
Day 28
Day 29
Day 30
Test Result 1 Test Result 2 Test Result 3 Test Result 4 XAve
Upper Cusum C+
79
86
96
109
92.5
25.1
99
118
97
91
101.25
25.1
92
105
101
96
98.5
25.1
92
105
110
103
102.5
25.1
93
97
99
93
95.5
25.1
112
101
89
100
100.5
25.1
110
92
92
87
95.25
25.1
102
111
84
90
96.75
25.1
102
104
100
118
106
25.1
89
110
96
91
96.5
25.1
97
106
104
90
99.25
25.1
91
98
100
85
93.5
25.1
108
100
89
100
99.25
25.1
107
101
108
103
104.75
25.1
100
103
100
89
98
25.1
116
110
79
85
97.5
25.1
97
90
104
89
95
25.1
102
87
88
92
92.25
25.1
104
113
96
94
101.75
25.1
115
117
92
88
103
25.1
107
100
91
116
103.5
25.1
119
119
92
104
108.5
25.1
84
94
99
92
92.25
25.1
104
94
89
115
100.5
25.1
92
114
113
105
106
25.1
113
100
108
95
104
25.1
104
104
132
116
114
25.1
102
119
79
99
99.75
25.1
102
113
107
117
109.75
25.1
93
105
111
96
101.25
25.1
112
107
114
126
114.75
25.1
110
100
90
109
102.25
25.1
110
107
130
94
110.25
25.1
123
92
114
106
108.75
25.1
99
92
95
91
94.25
25.1
131
111
117
104
115.75
25.1
102
108
82
90
95.5
25.1
106
103
114
106
107.25
25.1
112
106
103
106
106.75
25.1
109
103
103
102
104.25
25.1
C0.0
0.0
0.0
0.3
0.0
0.0
0.0
0.0
3.8
0.0
0.0
0.0
0.0
2.5
0.0
0.0
0.0
0.0
0.0
0.8
2.1
8.3
0.0
0.0
3.8
5.6
17.3
14.9
22.4
21.4
34.0
34.0
42.0
48.6
40.6
54.1
47.4
52.4
57.0
59.0
-8.7
-8.7
-11.4
-10.1
-15.8
-16.6
-22.5
-27.0
-22.2
-26.9
-28.9
-36.6
-38.6
-35.1
-38.3
-42.0
-48.2
-57.2
-56.7
-54.9
-52.6
-45.3
-54.3
-55.0
-50.2
-47.4
-34.7
-36.1
-27.6
-27.6
-14.0
-13.0
-4.0
0.0
-7.0
0.0
-5.7
0.0
0.0
0.0
Lower Cusum N+
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
-25.1
N0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
1
2
3
0
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
0
1
0
1
0
0
0
Target
Stdev
K
101.7188 6.272955
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
101.7188
FIR
0.5
0
GESUM Chart
Day
Process check 1
Process check 2
Process check 3
Process check 4
Process check 5
Process check 6
Process check 7
Process check 8
Process check 9
Process check 10
Day 1
Day 2
Day 3
Day 4
Day 5
Day 6
Day 7
Day 8
Day 9
Day 10
Day 11
Day 12
Day 13
Day 14
Day 15
Day 16
Day 17
Day 18
Day 19
Day 20
Day 21
Day 22
Day 23
Day 24
Day 25
Day 26
Day 27
Day 28
Day 29
Day 30
Test Result 1
79
99
92
92
93
112
110
102
102
89
97
91
108
107
100
116
97
102
104
115
107
119
84
104
92
113
104
102
102
93
112
110
110
123
99
131
102
106
112
109
UCL
+2 Sigma
+1 Sigma
Average -1 Sigma
-2 Sigma
LCL
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
415.60
311.57
207.55
71.74
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
Day
Process
Process
Process
Process
Process
Process
Process
Process
Process
Process
Day 1
Day 2
Day 3
Day 4
Day 5
Day 6
Day 7
Day 8
Day 9
Day 10
Day 11
Day 12
Day 13
Day 14
Day 15
Day 16
Day 17
Day 18
Day 19
Day 20
Day 21
Day 22
Day 23
Day 24
Day 25
Day 26
Day 27
Day 28
Day 29
Day 30
check
check
check
check
check
check
check
check
check
check
1
2
3
4
5
6
7
8
9
10
Test Result 2 UCL
+2 Sigma
+1 Sigma Average
-1 Sigma
-2 Sigma LCL
86
416.00
311.87
207.75
71.81
0.00
0.00
118
416.00
311.87
207.75
71.81
0.00
0.00
105
416.00
311.87
207.75
71.81
0.00
0.00
105
416.00
311.87
207.75
71.81
0.00
0.00
97
416.00
311.87
207.75
71.81
0.00
0.00
101
416.00
311.87
207.75
71.81
0.00
0.00
92
416.00
311.87
207.75
71.81
0.00
0.00
111
416.00
311.87
207.75
71.81
0.00
0.00
104
416.00
311.87
207.75
71.81
0.00
0.00
110
416.00
311.87
207.75
71.81
0.00
0.00
106
416.00
311.87
207.75
71.81
0.00
0.00
98
416.00
311.87
207.75
71.81
0.00
0.00
100
416.00
311.87
207.75
71.81
0.00
0.00
101
416.00
311.87
207.75
71.81
0.00
0.00
103
416.00
311.87
207.75
71.81
0.00
0.00
110
416.00
311.87
207.75
71.81
0.00
0.00
90
416.00
311.87
207.75
71.81
0.00
0.00
87
416.00
311.87
207.75
71.81
0.00
0.00
113
416.00
311.87
207.75
71.81
0.00
0.00
117
416.00
311.87
207.75
71.81
0.00
0.00
100
416.00
311.87
207.75
71.81
0.00
0.00
119
416.00
311.87
207.75
71.81
0.00
0.00
94
416.00
311.87
207.75
71.81
0.00
0.00
94
416.00
311.87
207.75
71.81
0.00
0.00
114
416.00
311.87
207.75
71.81
0.00
0.00
100
416.00
311.87
207.75
71.81
0.00
0.00
104
416.00
311.87
207.75
71.81
0.00
0.00
119
416.00
311.87
207.75
71.81
0.00
0.00
113
416.00
311.87
207.75
71.81
0.00
0.00
105
416.00
311.87
207.75
71.81
0.00
0.00
107
416.00
311.87
207.75
71.81
0.00
0.00
100
416.00
311.87
207.75
71.81
0.00
0.00
107
416.00
311.87
207.75
71.81
0.00
0.00
92
416.00
311.87
207.75
71.81
0.00
0.00
92
416.00
311.87
207.75
71.81
0.00
0.00
111
416.00
311.87
207.75
71.81
0.00
0.00
108
416.00
311.87
207.75
71.81
0.00
0.00
103
416.00
311.87
207.75
71.81
0.00
0.00
106
416.00
311.87
207.75
71.81
0.00
0.00
103
416.00
311.87
207.75
71.81
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
Day
Test Result 3 UCL
+2 Sigma +1 Sigma Average -1 Sigma -2 Sigma LCL
Process check 1
96
402.20
301.52
200.85
69.42
0.00
0.00
Process check 2
97
402.20
301.52
200.85
69.42
0.00
0.00
Process check 3
101
402.20
301.52
200.85
69.42
0.00
0.00
Process check 4
110
402.20
301.52
200.85
69.42
0.00
0.00
Process check 5
99
402.20
301.52
200.85
69.42
0.00
0.00
Process check 6
89
402.20
301.52
200.85
69.42
0.00
0.00
Process check 7
92
402.20
301.52
200.85
69.42
0.00
0.00
Process check 8
84
402.20
301.52
200.85
69.42
0.00
0.00
Process check 9
100
402.20
301.52
200.85
69.42
0.00
0.00
Process check 10
96
402.20
301.52
200.85
69.42
0.00
0.00
Day 1
104
402.20
301.52
200.85
69.42
0.00
0.00
Day 2
100
402.20
301.52
200.85
69.42
0.00
0.00
Day 3
89
402.20
301.52
200.85
69.42
0.00
0.00
Day 4
108
402.20
301.52
200.85
69.42
0.00
0.00
Day 5
100
402.20
301.52
200.85
69.42
0.00
0.00
Day 6
79
402.20
301.52
200.85
69.42
0.00
0.00
Day 7
104
402.20
301.52
200.85
69.42
0.00
0.00
Day 8
88
402.20
301.52
200.85
69.42
0.00
0.00
Day 9
96
402.20
301.52
200.85
69.42
0.00
0.00
Day 10
92
402.20
301.52
200.85
69.42
0.00
0.00
Day 11
91
402.20
301.52
200.85
69.42
0.00
0.00
Day 12
92
402.20
301.52
200.85
69.42
0.00
0.00
Day 13
99
402.20
301.52
200.85
69.42
0.00
0.00
Day 14
89
402.20
301.52
200.85
69.42
0.00
0.00
Day 15
113
402.20
301.52
200.85
69.42
0.00
0.00
Day 16
108
402.20
301.52
200.85
69.42
0.00
0.00
Day 17
132
402.20
301.52
200.85
69.42
0.00
0.00
Day 18
79
402.20
301.52
200.85
69.42
0.00
0.00
Day 19
107
402.20
301.52
200.85
69.42
0.00
0.00
Day 20
111
402.20
301.52
200.85
69.42
0.00
0.00
Day 21
114
402.20
301.52
200.85
69.42
0.00
0.00
Day 22
90
402.20
301.52
200.85
69.42
0.00
0.00
Day 23
130
402.20
301.52
200.85
69.42
0.00
0.00
Day 24
114
402.20
301.52
200.85
69.42
0.00
0.00
Day 25
95
402.20
301.52
200.85
69.42
0.00
0.00
Day 26
117
402.20
301.52
200.85
69.42
0.00
0.00
Day 27
82
402.20
301.52
200.85
69.42
0.00
0.00
Day 28
114
402.20
301.52
200.85
69.42
0.00
0.00
Day 29
103
402.20
301.52
200.85
69.42
0.00
0.00
Day 30
103
402.20
301.52
200.85
69.42
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
Day
Test Result 4 UCL
+2 Sigma +1 Sigma Average -1 Sigma -2 Sigma LCL
Process check 1
109
399.70
299.65
199.60
68.99
0.00
0.00
Process check 2
91
399.70
299.65
199.60
68.99
0.00
0.00
Process check 3
96
399.70
299.65
199.60
68.99
0.00
0.00
Process check 4
103
399.70
299.65
199.60
68.99
0.00
0.00
Process check 5
93
399.70
299.65
199.60
68.99
0.00
0.00
Process check 6
100
399.70
299.65
199.60
68.99
0.00
0.00
Process check 7
87
399.70
299.65
199.60
68.99
0.00
0.00
Process check 8
90
399.70
299.65
199.60
68.99
0.00
0.00
Process check 9
118
399.70
299.65
199.60
68.99
0.00
0.00
Process check 10
91
399.70
299.65
199.60
68.99
0.00
0.00
Day 1
90
399.70
299.65
199.60
68.99
0.00
0.00
Day 2
85
399.70
299.65
199.60
68.99
0.00
0.00
Day 3
100
399.70
299.65
199.60
68.99
0.00
0.00
Day 4
103
399.70
299.65
199.60
68.99
0.00
0.00
Day 5
89
399.70
299.65
199.60
68.99
0.00
0.00
Day 6
85
399.70
299.65
199.60
68.99
0.00
0.00
Day 7
89
399.70
299.65
199.60
68.99
0.00
0.00
Day 8
92
399.70
299.65
199.60
68.99
0.00
0.00
Day 9
94
399.70
299.65
199.60
68.99
0.00
0.00
Day 10
88
399.70
299.65
199.60
68.99
0.00
0.00
Day 11
116
399.70
299.65
199.60
68.99
0.00
0.00
Day 12
104
399.70
299.65
199.60
68.99
0.00
0.00
Day 13
92
399.70
299.65
199.60
68.99
0.00
0.00
Day 14
115
399.70
299.65
199.60
68.99
0.00
0.00
Day 15
105
399.70
299.65
199.60
68.99
0.00
0.00
Day 16
95
399.70
299.65
199.60
68.99
0.00
0.00
Day 17
116
399.70
299.65
199.60
68.99
0.00
0.00
Day 18
99
399.70
299.65
199.60
68.99
0.00
0.00
Day 19
117
399.70
299.65
199.60
68.99
0.00
0.00
Day 20
96
399.70
299.65
199.60
68.99
0.00
0.00
Day 21
126
399.70
299.65
199.60
68.99
0.00
0.00
Day 22
109
399.70
299.65
199.60
68.99
0.00
0.00
Day 23
94
399.70
299.65
199.60
68.99
0.00
0.00
Day 24
106
399.70
299.65
199.60
68.99
0.00
0.00
Day 25
91
399.70
299.65
199.60
68.99
0.00
0.00
Day 26
104
399.70
299.65
199.60
68.99
0.00
0.00
Day 27
90
399.70
299.65
199.60
68.99
0.00
0.00
Day 28
106
399.70
299.65
199.60
68.99
0.00
0.00
Day 29
106
399.70
299.65
199.60
68.99
0.00
0.00
Day 30
102
399.70
299.65
199.60
68.99
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
EWMA
Day
Process check 1
Process check 2
Process check 3
Process check 4
Process check 5
Process check 6
Process check 7
Process check 8
Process check 9
Process check 10
Day 1
Day 2
Day 3
Day 4
Day 5
Day 6
Day 7
Day 8
Day 9
Day 10
Day 11
Day 12
Day 13
Day 14
Day 15
Day 16
Day 17
Day 18
Day 19
Day 20
Day 21
Day 22
Day 23
Day 24
Day 25
Day 26
Day 27
Day 28
Day 29
Day 30
Test Result 1
Test Result 2
79
99
92
92
93
112
110
102
102
89
97
91
108
107
100
116
97
102
104
115
107
119
84
104
92
113
104
102
102
93
112
110
110
123
99
131
102
106
112
109
Test Result 3
86
118
105
105
97
101
92
111
104
110
106
98
100
101
103
110
90
87
113
117
100
119
94
94
114
100
104
119
113
105
107
100
107
92
92
111
108
103
106
103
Test Result 4
96
97
101
110
99
89
92
84
100
96
104
100
89
108
100
79
104
88
96
92
91
92
99
89
113
108
132
79
107
111
114
90
130
114
95
117
82
114
103
103
109
91
96
103
93
100
87
90
118
91
90
85
100
103
89
85
89
92
94
88
116
104
92
115
105
95
116
99
117
96
126
109
94
106
91
104
90
106
106
102
XAve
EWMA
UCL
+2 Sigma
+1 Sigma
Average
-1 Sigma
-2 Sigma
LCL
92.5
99.9
107.7
105.7
103.7
101.7
99.7
97.7
101.25
100.2
109.4
106.8
104.3
101.7
99.2
96.6
98.5
99.8
110.3
107.4
104.6
101.7
98.9
96.0
102.5
100.4
110.8
107.8
104.7
101.7
98.7
95.7
95.5
99.4
111.1
108.0
104.9
101.7
98.6
95.4
100.5
99.6
111.3
108.1
104.9
101.7
98.5
95.3
95.25
98.7
111.5
108.2
105.0
101.7
98.5
95.2
96.75
98.3
111.5
108.3
105.0
101.7
98.4
95.2
106
99.9
111.6
108.3
105.0
101.7
98.4
95.1
96.5
99.2
111.6
108.3
105.0
101.7
98.4
95.1
99.25
99.2
111.6
108.3
105.0
101.7
98.4
95.1
93.5
98.1
111.7
108.3
105.0
101.7
98.4
95.1
99.25
98.3
111.7
108.3
105.0
101.7
98.4
95.1
104.75
99.6
111.7
108.3
105.0
101.7
98.4
95.1
98
99.3
111.7
108.4
105.0
101.7
98.4
95.1
97.5
98.9
111.7
108.4
105.0
101.7
98.4
95.1
95
98.1
111.7
108.4
105.0
101.7
98.4
95.1
92.25
97.0
111.7
108.4
105.0
101.7
98.4
95.1
101.75
97.9
111.7
108.4
105.0
101.7
98.4
95.1
103
98.9
111.7
108.4
105.0
101.7
98.4
95.1
103.5
99.8
111.7
108.4
105.0
101.7
98.4
95.1
108.5
101.6
111.7
108.4
105.0
101.7
98.4
95.1
92.25
99.7
111.7
108.4
105.0
101.7
98.4
95.1
100.5
99.9
111.7
108.4
105.0
101.7
98.4
95.1
106
101.1
111.7
108.4
105.0
101.7
98.4
95.1
104
101.7
111.7
108.4
105.0
101.7
98.4
95.1
114
104.1
111.7
108.4
105.0
101.7
98.4
95.1
99.75
103.3
111.7
108.4
105.0
101.7
98.4
95.1
109.75
104.6
111.7
108.4
105.0
101.7
98.4
95.1
101.25
103.9
111.7
108.4
105.0
101.7
98.4
95.1
114.75
106.1
111.7
108.4
105.0
101.7
98.4
95.1
102.25
105.3
111.7
108.4
105.0
101.7
98.4
95.1
110.25
106.3
111.7
108.4
105.0
101.7
98.4
95.1
108.75
106.8
111.7
108.4
105.0
101.7
98.4
95.1
94.25
104.3
111.7
108.4
105.0
101.7
98.4
95.1
115.75
106.6
111.7
108.4
105.0
101.7
98.4
95.1
95.5
104.4
111.7
108.4
105.0
101.7
98.4
95.1
107.25
104.9
111.7
108.4
105.0
101.7
98.4
95.1
106.75
105.3
111.7
108.4
105.0
101.7
98.4
95.1
104.25
105.1
111.7
108.4
105.0
101.7
98.4
95.1
95.7
94.1
93.2
92.6
92.3
92.1
92.0
91.9
91.9
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
91.8
LastCell
109
91
96
103
93
100
87
90
118
91
90
85
100
103
89
85
89
92
94
88
116
104
92
115
105
95
116
99
117
96
126
109
94
106
91
104
90
106
106
102
CONTROL CHART
Shewhart
CUSUM
GESUM
EWMA
ADVANTAGES
Known for its ease of
implementation and its
ability to detect large
process shifts
The CUSUM chart is very
effective for small shifts
and when the subgroup
size n=1
DISADVANTAGES
it is relatively insensitive to
small process shifts.
Good performance for
observations that are
autocorrelated or
independently normal
distributed
More complex and
demand additional
statistical understanding
The CUSUM is relatively
slow to respond to large
shifts.
REFERENCES
Hussein, Maher & Almorshedi, Abbas & Shomran, Haideer. (2013). The Comparison between Shewhart Control Chart ,Cusum and EWMA. 10.13140/RG.2.2.34006.34880.