Question: Each data set represents 16 samples of size 10 observations. From each sample, X-bar and R were calculated and then plotted on the appropriate control

Each data set represents 16 samples of size 10 observations. From each sample, X-bar and R were calculated and then plotted on the appropriate control chart. You are to evaluate each data set for out of control conditions. Specifically, you should:

1) State whether the process seems to be in control or out of control

2) If you believe it is out of control, you should clearly state why (e.g. x-bar chart has sample 12 below the lower control limit).

3) If you believe it is out of control, you should clearly state the nature of the out of control condition (e.g. process mean has shifted lower).

Each data set represents 16 samples of size 10

Data Set 3 Data Set 3 X-bar 1 10 204) 210 2111 225.0 UCLR 57 57 57 57 57 1 2 3 4 5 6 7 7 8 220.0 215.0 203 2 206 214 218 208 210 187 204 199 207 227 228 210.0 220 207 218 206 200 217 218 199 222 202 207 194 198 201 197 203 205.0 3 208 218 208 222 216 216 209 189 188 222 204 218 226 209 215 208 4 217 211 211 216 196 222 227 206 201 196 218 211 236 204 220 196 5 220 220 218 205 212 217 210 212 214 218 190 195 212 207 205 197 6 219 213 202 208 218 217 224 217 211 199 214 243 235 210 185 190 7 7 196 239 197 211 221 217 211 224 222 218 195 194 219 224 201 209 8 221 221 216 192 208 210 230 218 202 212 204 227 219 237 208 206 9 218 209 204 202 215 208 209 219 194 214 219 214 214 185 216 233 X-bar 212.9 216.2 210.3 207.3 208.3 212.0 214.7 210.6 2072 210.8 205.6 212.7 217.7 204.9 207.5 206.6 UCLX X-dbl-bar 220 210 220 210 220 210 220 210 220 210 220 210 220 210 220 210 220 210 220 210 220 210 220 210 220 210 220 210 220 210 220 210 LCLX 200 200 200 200 200 2007 200 200 200 2007 200 200 200 200 R 25 32 21 30 34 35 26 35 34 31 51 49 44 62 35 43 187 209 205 223 211) 200 1771 207 192 1977 220 214 200.0 R-bar 32 32 32 32 32 32 32 32 32 32 32 32 32 32 32 32 LCLR 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 195.0 999999999999 190.0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 10 11 12 13 14 15 16 224 226 175 208 210 200 Data Set 3 R 200 70 State whether the process seems to be in control or out of control If you believe it is out of control, you should clearly state why (e.g. x-bar chart has sample 12 below the lower control limit). If you believe it is out of control, you should clearly state the nature of the out of control condition (e.g. process mean has shifted lower). 60 50 40 30 20 10 0 1 2 3 4 5 6 7 8 9 9 10 11 12 13 14 15 16

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