Enclosure 1: Solved Numerical Problems (Chapter-wise) Statistical Process Control: A Step-by-Step Guide
Solved Numerical Problems (Chapter-wise) Statistical Process Control: A Step-by-Step Guide 🔹 Chapter 1: Introduction to Statistical Process Control Problem 1.1 A process produces metal rods with varying lengths. Explain whether SPC should be applied for inspection or improvement. Solution SPC is applied for process monitoring and improvement , not merely inspection. It helps: Identify process variation Distinguish between common and special causes Reduce variability systematically ✅ SPC is preventive, not corrective. 🔹 Chapter 2: Statistical Foundations for SPC Problem 2.1 Five observations of a quality characteristic are: 12, 14, 15, 13, 16 Find the mean and range . Solution [ \bar{X} = \frac{12+14+15+13+16}{5} = \frac{70}{5} = 14 ] [ Range = 16 - 12 = 4 ] ✅ Mean = 14, Range = 4 Problem 2.2 If the standard deviation of a process is 2 mm, find the natural tolerance . Solution [ \text{Natural tolerance} = \mu \pm 3\sigma = \pm 6 ] ✅ Process spread = 6σ = 12 mm 🔹 Chapter 3...