Process Overshoes Wt Mean 255 12:00:00 AM238 203 259 7:00:00 AM 252.0 256.0 250.

Question

Process Overshoes Wt Mean 255 12:00:00 AM238 203 259 7:00:00 AM 252.0 256.0 250.7 246.3 230.7 240.0 251.7 254.7 263.0 232.0 244.0 213.7 249.0 256.7 260.7 244.3 242.0 183.3 251.7 232.0 261.7 256.0 243.0 238.3 245.0 232.0 286.0 242.0 244.9 240 240 226 223 240 309 9:00 AM 10:00 AM 11:00 AM 12:00 PM 1:00 PM 2:00 PM 3:00 PM 4:00 PM 5:00 PM 6:00 PM 7:00 PM 8:00 PM 9:00 PM 10:00 PM 11:00 PM 12:00 AM 1:00 AM 2:00 AM 3:00 AM 4:00 AM 5:00 AM 6:00 AM 7:00 AM 8:00 AM 9:00 AM 10:00 AM 106 259 263 220 257 278 252 266 227 245 165 240 225 239 259 268 225 237 252 263 263 272 227 223 48 232 4 264 266 220 264 252 264 246 263 229 223 227 290 235 282 226 265 33.3 Xbarbar Rbar UCLX LCLX UCLR LCLR 263.98644 225.89452 19.571056 47.000374 Sample standard deviation of process data Process mean 24.59 257.36

Explanation / Answer

We calculate the process mean by finding the average of all the sample means i.e mean of 7:00 AM, mean of 12:00 AM and so on.

So the average of all the sample means is -

X bar bar = 1/28 * [252 + 256 + 250.7 +.........+ 242]

= 244.9

And the process mean is not set at Lower specification limit (LSL) because -

LSL = Process Mean - 3 * Process standard deviation

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