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Enclosure 3: Statistical Process Control: Chapter-wise Previous Year GATE Questions (With Solutions)

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Chapter-wise Previous Year GATE Questions (With Solutions) Statistical Process Control 🔹 Chapter 1: Introduction to SPC GATE Question 1 (Conceptual – 1 Mark) Which of the following is the primary objective of Statistical Process Control? (A) Detection of defects (B) Prevention of defects (C) Sorting of products (D) Replacement of inspection ✅ Answer: (B) Solution SPC focuses on monitoring and controlling processes to prevent defects, not merely detecting them after production. 🔹 Chapter 2: Statistical Foundations for SPC GATE Question 2 (Numerical – 1 Mark) For a normally distributed process, approximately what percentage of observations lie within ±3σ? (A) 95% (B) 97% (C) 99.73% (D) 100% ✅ Answer: (C) Solution By the empirical rule : ±1σ → 68% ±2σ → 95% ±3σ → 99.73% GATE Question 3 (Numerical – 2 Marks) Five observations are: 10, 12, 14, 16, 18. Find the mean and range. ✅ Solution [ \bar{X} = \frac{10+12+14+16+18}{5} = 14 ] [ Range = 18 - 10 = 8 ] 🔹 Chapter 3: Proces...