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 1 Data Set 1 X-bar LCLX 2001 1 LCLR 7 7 7 225.0 200 220.0 10 211) 216 221 201 220 223 2111 UCLR 57 57 57 57 57 57 57 7 215.0 210.0 2 3 4 5 6 7 7 8 9 10 11 12 13 14 205.0 1 201 223 235 204 208 205 230 207 210 207 198 201 199 216 197 197 2 200 211 215 237 206 213 211 217 212 206 219 211 205 221 226 207 3 220 203 207 213 218 206 210 208 203 217 231 213 212 212 220 208 4 204 222 207 201 225 214 213 205 214 205 215 184 206 213 207 203 5 214 191 219 212 218 213 198 199 209 239 207 203 209 213 199 208 6 6 212 194 207 216 214 223 217 210 215 211 203 195 220 205 197 207 7 230 226 215 232 226 200 220 208 208 204 209 216 204 226 194 233 8 213 220 221 199 210 202 194 187 213 224 204 214 203 190 215 211 9 9 204 203 204 211 229 203 209 230 200 196 208 184 215 221 216 211 X-bar 210.9 210.9 215.1 212.6 217.4 210.2 211.3 208.6 209.8 211.4 212.1 203.1 210.3 213.3 208.4 209.9 215 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 7 7 7 7 R 30 35 31 38 23 23 36 43 15 43 33 32 31 36 32 36 57 R-bar 32 32 32 32 32 32 32 32 32 32 32 32 32 32 32 32 200 200 200 2001 2007 200 200 2007 200 200 200 200 200 200.0 214 205 227) 210 195.0 190.0 + 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 57 57 57 57 57 57 57 57 7 7 7 7 7 7 7 230 216 213 2147 7 15 16 Data Set 1 R 200 7 60 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). 50 40 30 20 10 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

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