Question: TABLE $6.1 SAMPLE SIZE, n Oum Lecture Exercise #11 Factors for Computing Control Chart Limits (3 sigma) MEAN FACTOR, UPPER RANGE, LOWER RANGE, A D

TABLE $6.1 SAMPLE SIZE, n Oum Lecture Exercise

TABLE $6.1 SAMPLE SIZE, n Oum Lecture Exercise #11 Factors for Computing Control Chart Limits (3 sigma) MEAN FACTOR, UPPER RANGE, LOWER RANGE, A D D 3.268 0 1.023 2.574 0 2 1.880 3 4 .729 2.282 0 5 577 2.115 0 6 483 2.004 0 7 1.924 0.076 .419 373 8 9 337 1.864 1.816 1.777 0.136 0.184 0.223 0.284 10 .308 266 12 1.716 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) Number 1 2 3 4 Sample 1 0.5014 0.5022 0.5009 0.5027 Sample 2 0.5021 0.5041 0.5032 0.5020 Sample 3 0.5018 0.5026 0.5035 0.5023 Sample 4 0.5008 0.5034 0.5024 0.5015 Sample 5 0.5041 0.5056 0.5034 0.5039 9 1. Compute the sample range and mean for each of the 5 samples. 2. Compute , the average of the sample means, and the average of the sample ranges. 3. Construct theX - 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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