Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Exams, May 2017. Closed-book examination. Any five of the six questions constitute a complete paper; all six are answered in full below. Relevant statistical tables (cumulative standard normal distribution, factors for constructing variables control charts, the F distribution, and a blank Weibull probability chart) are reproduced/applied from the paper's own attached appendices.
Reference texts: Montgomery, Introduction to Statistical Quality Control (8th ed.) — Ch. 1–2 (quality philosophy, cost of quality, Six Sigma/DMAIC), Ch. 5–6 (variables control charts: X̄-R, X̄-S, process capability), Ch. 7 (attributes charts: p, np, c, u, demerit systems), Ch. 9 (CUSUM and EWMA control charts), Ch. 8 & 13 (reliability, life testing and Weibull analysis; designed experiments and factorial designs).