Bath concentrations are measured hourly in a chemical process. Data (in ppm) for
ID: 3180850 • Letter: B
Question
Bath concentrations are measured hourly in a chemical process. Data (in ppm) for the last 32 hours are shown in the table below. (Read down from left)
The process target uo=175 ppm
a- Construct a tabular Cusum for this process using h=5 and k=1/2
b- Provide your interpretation based on the chart
Sample#
Conc.
Sample#
Conc.
Sample#
Conc.
Sample#
Conc.
1
160
9
186
17
190
25
206
2
158
10
195
18
189
26
210
3
150
11
179
19
185
27
216
4
151
12
184
20
182
28
212
5
153
13
175
21
181
29
211
6
154
14
192
22
180
30
202
7
158
15
186
23
183
31
205
8
162
16
197
24
186
32
197
Sample#
Conc.
Sample#
Conc.
Sample#
Conc.
Sample#
Conc.
1
160
9
186
17
190
25
206
2
158
10
195
18
189
26
210
3
150
11
179
19
185
27
216
4
151
12
184
20
182
28
212
5
153
13
175
21
181
29
211
6
154
14
192
22
180
30
202
7
158
15
186
23
183
31
205
8
162
16
197
24
186
32
197
Explanation / Answer
* in the above chart represents out of control signal.
Sample # Conc. Conc.- 175 Conc.-175-k C+ 175-k-Conc C- CUSUM 1 160 -15 -15.5 0 14.5 0 -15 2 158 -17 -17.5 0 16.5 16.5* -32 3 150 -25 -25.5 0 24.5 41* -57 4 151 -24 -24.5 0 23.5 64.5* -81 5 153 -22 -22.5 0 21.5 86* -103 6 154 -21 -21.5 0 20.5 106.5* -124 7 158 -17 -17.5 0 16.5 123* -141 8 162 -13 -13.5 0 12.5 135.5* -154 9 186 11 10.5 10.5* -11.5 124* -143 10 195 20 19.5 30* -20.5 103.5* -123 11 179 4 3.5 33.5* -4.5 99* -119 12 184 9 8.5 42* -9.5 89.5* -110 13 175 0 -0.5 41.5* -0.5 89* -110 14 192 17 16.5 58* -17.5 71.5* -93 15 186 11 10.5 68.5* -11.5 60* -82 16 197 22 21.5 90* -22.5 37.5* -60 17 190 15 14.5 104.5* -15.5 22* -45 18 189 14 13.5 118* -14.5 17.5* -31 19 185 10 9.5 127.5* -10.5 7* -21 20 182 7 6.5 134* -7.5 0 -14 21 181 6 5.5 139.5* -6.5 0 -8 22 180 5 4.5 144* -5.5 0 -3 23 183 8 7.5 151.5* -8.5 0 5 24 186 11 10.5 162* -11.5 0 16 25 206 31 30.5 192.5* -31.5 0 47 26 210 35 34.5 227* -35.5 0 82 27 216 41 40.5 267.5* -41.5 0 123 28 212 37 36.5 304* -37.5 0 160 29 211 36 35.5 339.5* -36.5 0 196 30 202 27 26.5 366* -27.5 0 223 31 205 30 29.5 395.5* -30.5 0 253 32 197 22 21.5 417* -22.5 0 275Related Questions
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