Sarah Soliz, Director of Quality Programs, is designing $\bar { x }$ and R charts for the rod shearing process at Stockton Steel.She has 26 samples of rod length, and each sample included measurements of 5 rods.The mean of the 26 sample means is 112 inches, and mean of the 26 ranges is 0.15 inch.The upper control limit for her R chart is ____.
A)0.150
B)10.57
C)0.317
D)2.114
E)0.713

Question

Quizplus · Accepted Answer

The upper control limit (UCL) for the R chart is calculated using the formula: UCL = D4 * R-bar. Given that the mean of the ranges (R-bar) is 0.15 inch and using the appropriate value of D4 for a sample size of 5 (which is 2.114), the calculation is UCL = 2.114 * 0.15 = 0.317 inch.

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Sarah Soliz, Director of Quality Programs, Is Designing $\bar { x }$