Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Exams — May 2013 — 98-Ind-A5 Quality Planning, Control and Assurance. Three-hour, closed-book exam; Casio or Sharp approved calculators only; one double-sided 8.5×11 aid sheet permitted; relevant statistical tables attached. Format: six questions, each worth 20 marks; any five constitute a complete paper, and only the first five appearing in the answer book are marked, so candidates effectively choose 5 of 6. All six are solved below for completeness.
Reference texts: Montgomery, Introduction to Statistical Quality Control (8th ed.) — control charts, process capability, acceptance sampling and design of experiments for quality improvement (the primary text for every part of this paper); Hillier & Lieberman, Introduction to Operations Research (11th ed.) — probability/decision background; ISO 9001:2015 — quality management systems and certification; MIL-STD-105E — sampling procedures and tables for inspection by attributes.