A manager wishes to build a 3-sigma range chart for a process. The sample size is five, the mean of sample means is 16.01, and the average range is 5.3. From Table S6.1 in the text, the appropriate value of D₃ is 0, and D₄ is 2.115. The UCL and LCL for this range chart are A) 33.9 and 11.2. B) 33.9 and 0. C) 11.2 and 0. D) 6.3 and 0. E) 31.91 and 0.11.

Question

Quizplus · Accepted Answer

The UCL and LCL for the range chart can be calculated using the formula: UCL = D4 * R_bar LCL = D3 * R_bar where D4 and D3 are constants from Table S6.1, and R_bar is the average range. From the problem statement, the average range is given as 5.3, and the appropriate value of D₃ is 0, and D₄ is 2.115. Therefore: UCL = 0 * 5.3 = 0 LCL = 2.115 * 5.3 = 11.2 Thus, the best choice is C. The UCL for the range chart is 0, and the LCL is 11.2.

A Manager Wishes to Build a 3-Sigma Range Chart for a Process