Statistical Quality Control, 7th Edition

3 Modeling Process Quality

CHAPTER OUTLINE

3.1   DESCRIBING VARIATION

3.1.1   The Stem-and-Leaf Plot

3.1.2   The Histogram

3.1.3   Numerical Summary of Data

3.1.4   The Box Plot

3.1.5   Probability Distributions

3.2   IMPORTANT DISCRETE DISTRIBUTIONS

3.2.1   The Hypergeometric Distribution

3.2.2   The Binomial Distribution

3.2.3   The Poisson Distribution

3.2.4   The Negative Binomial and Geometric Distributions

3.3   IMPORTANT CONTINUOUS DISTRIBUTIONS

3.3.1   The Normal Distribution

3.3.2   The Lognormal Distribution

3.3.3   The Exponential Distribution

3.3.4   The Gamma Distribution

3.3.5   The Weibull Distribution

3.4   PROBABILITY PLOTS

3.4.1   Normal Probability Plots

3.4.2   Other Probability Plots

3.5   SOME USEFUL APPROXIMATIONS

3.5.1   The Binomial Approximation to the Hypergeometric

3.5.2   The Poisson Approximation to the Binomial

3.5.3   The Normal Approximation to the Binomial

3.5.4   Comments on Approximations

Supplemental Material for Chapter 3

S3.1   Independent Random Variables

S3.2   Development of the Poisson Distribution

S3.3   The Mean and Variance of the Normal Distribution

S3.4   More about the Lognormal Distribution

S3.5   More about the Gamma Distribution

S3.6   The Failure Rate for the Exponential Distribution

S3.7   The Failure Rate for the Weibull Distribution

The supplemental material is on the textbook Website, www.wiley.com/college/montgomery.

CHAPTER OVERVIEW AND LEARNING OBJECTIVES

This textbook is about the use of statistical methodology in quality ...