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 4 Data Set 4 X-bar 1 10 231 227 212 215 230.0 225.0 220.0 215.0 210.0 205.0 200.0 195.0 190.0 185.0 209 185 1 204 216 232 206 185 218 214 209 216 222 219 226 226 216 215 214 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 204 2 199 208 202 222 221 200 216 213 206 212 209 220 207 254 229 219 3 204 194 209 196 219 199 199 203 206 186 220 219 217 219 199 222 4 202 214 206 204 214 185 204 205 218 214 218 215 204 207 212 222 5 213 203 209 209 192 206 207 204 195 211 227 221 222 215 219 214 6 200 216 206 214 216 210 207 209 214 233 223 219 217 222 215 230 7 191 210 205 203 204 224 193 206 225 220 203 230 221 213 221 218 8 203 195 194 214 204 197 235 202 209 227 207 207 219 248 227 214 9 197 195 213 204 190 213 208 234 217 215 210 217 217 231 216 207 LCLX 2001 200 2007 200 2007 2007 200 200 x-bar 204.4 207.8 208.8 208.7 205.4 203.7 208.7 208.5 213.5 214.7 215.1 217.7 216.0 225.3 216.0 217.4 UCLX X-dbl-bar 220 210 220 210 220 210 220 210 220 210 220 210 220 210 220 210 220 210 220 210 220 210 210 220 210 220 210 220 210 220 210 UCLR 57 57 57 57 57 57 57 57 57 57 57 57 57 R 40 33 38 26 36 39 42 34 34 47 24 27 22 47 30 23 200 229 2077 2157 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 7 7 2007 2007 200 200 203 220 1 2 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 2007 2001 57 210 228 207) 214 200 200 57 57 7 Data Set 4 R 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 A 30 20 10 0 1 2 2 3 3 4 5 6 7 8 9 9 10 11 12 13 14 15 16

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