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###### TABLE S6.1 SAMPLE SIZE, n Omm Lecture Exercise #11 2 3 4 Factors for Computing Control...

TABLE S6.1 SAMPLE SIZE, n Omm Lecture Exercise #11 2 3 4 Factors for Computing Control Chart Limits (3 sigma) MEAN FACTOR, UPPER RANGE, LOWER RANGE, A₂ DA D 1.880 3.268 0 1.023 2.574 0 .729 2.282 0 .577 2.115 0 ,483 2.004 0 .419 1.924 0.076 .373 1.864 0.136 5 6 7 8 9 .337 1.816 0.184 We wish to determine if screw production is in statistical control. We have no prior information, other than the 5 samples (where each sample has 4 observations) 10 .308 1.777 0.223 12 .266 1.716 0.284 Number Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 1 0.5014 0.5021 0.5018 0.5008 0.5041 2 0.5022 0.5041 0.5026 0.5034 0.5056 3 0.5009 0.5032 0.5035 0.5024 0.5034 4 0.5027 0.5020 0.5023 0.5015 0.5039 1. Compute the sample range and mean for each of the 5 samples. 2. Compute , the average of the sample means, and R, the average of the sample ranges. 3. Construct the X-chart to check if the sample mean is in control 4. Construct the Range chart to check if process variation is in control.

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