Bhisham C. Gupta

Statistical Quality Control


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(EWMA) Control Charts Review Practice Problems

      14  8 Process and Measurement System Capability Analysis 8.1 Introduction 8.2 Development of Process Capability Indices 8.3 Various Process Capability Indices 8.4 Pre‐control 8.5 Measurement System Capability Analysis Review Practice Problems

      15  9 Acceptance Sampling Plans 9.1 Introduction 9.2 The Intent of Acceptance Sampling Plans 9.3 Sampling Inspection vs. 100% Inspection 9.4 Classification of Sampling Plans 9.5 Acceptance Sampling by Attributes 9.6 Single Sampling Plans for Attributes 9.7 Other Types of Sampling Plans for Attributes 9.8 ANSI/ASQ Z1.4‐2003 Sampling Standard and Plans 9.9 Dodge‐Romig Tables 9.10 ANSI/ASQ Z1.9‐2003 Acceptance Sampling Plans by Variables 9.11 Continuous‐Sampling Plans Review Practice Problems

      16  10 Computer Resources to Support SQC: Minitab, R, JMP, and Python 9.1 Introduction

      17  Appendix A: Statistical Tables

      18  Appendix B: Answers to Selected Practice Problems Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9

      19  Bibliography

      20  Index

      21  End User License Agreement

      List of Tables

      1 Chapter 2Table 2.1 Defects per million opportunities (DPMO) for various sigma levels; ...Table 2.2 Root causes of the Eight Wastes.Table 2.3 The 5S methods.

      2 Chapter 3Table 3.1 Annual revenues of 100 small to mid‐size companies located in the m...Table 3.2 Frequency distribution for data in Table 3.1.Table 3.3 Frequency distribution table for the data in Example 3.2.Table 3.4 Frequency table for the data in Example 3.3.Table 3.5 Understanding defect rates as a function of various process steps.Table 3.6 Frequency distribution table for the data in Example 3.7.Table 3.7 Frequency distribution table for the survival time of parts.Table 3.8 Cholesterol level and systolic BP of 30 randomly selected US males ...Table 3.9 Portion of Table A.5 in the Appendix forn = 5.Table 3.10 Portion of Table A.6 from the Appendix.Table 3.11 A portion of standard normal distribution table, Table A.7, from t...

      3 Chapter 4Table 4.1 Table of random numbers.

      4 Chapter 5Table 5.1 Check sheet summarizing study data over a period of four weeks.Table 5.2 Frequencies and weighted frequencies when different types of defect...Table 5.3 Percentage of nonconforming units in different shifts over a period...Table 5.4 Lengths (cm) of bolts used in the assembly of mid‐size car engines.Table 5.5 Lengths (cm) of bolts used in the assembly of mid‐size car engines.Table 5.6 Inside diameter measurements (cm) of piston rings for car engines.

      5 Chapter 6Table 6.1 Control charts for attributes.Table 6.2 Number of nonconforming APLs inspected each day during the study pe...Table 6.3 Number of nonconforming APLs with 100% inspection each day.Table 6.4 Total number of nonconformities in samples consisting of five paper...Table 6.5 Number of nonconformities on printed boards for laptops per sample;...Table 6.6 Number of nonconformities on printed boards with varying sample siz...

      6 Chapter 7Table 7.1 Data from a manufacturing process of medical equipment parts before...Table 7.2a Values ofh for given value of k when ARL0 = 370 for two‐sided tabu...Table 7.2b ARL values for certain mean shifts for CUSUM and Shewhart control ...Table 7.3 Tabular CUSUM control chart for the data given in Table 7.1.Table 7.4 Data from a manufacturing process of medical equipment before and a...Table 7.5 Tabular CUSUM control chart using FIR feature for data in Table 7.4...Table 7.6 Tabular CUSUM control chart using the FIR feature for data in Table...Table 7.7 Moving average chart (Mi) for data in Table 7.4 with μ = 15, σ...Table 7.8 Control limits for each sample point.Table 7.9 A selection of EWMA charts with ARL0 ≅ 500.Table 7.10 Exponentially weighted moving average control chart (zi) for data ...Table 7.11 Control limits for each sample point.

      7 Chapter 8Table 8.1 Measurement data for tie rods.Table 8.2 Values ofCpk and Cp as the process mean changes.Table 8.3 Different processes with the same value ofCpk.Table 8.4 PPM of nonconforming units for different values ofCpk.Table 8.5 The values ofCpk and Cpm as μ deviates from the target.Table 8.6 (σ = 2) values ofCp, Cpk, Cpm, Cpmk, and Cpnst for μ = 20, 22, 24, ...Table 8.7 (μ = 20) Values ofCp, Cpk, Cpm, Cpmk, and Cpnst for σ = 2, 2.5, 3.0...Table 8.8 Pre‐control rules.Table 8.9 Data for an experiment involving three operators, 10 parts (con rod...Table 8.10 Two‐way ANOVA table with interaction.Table 8.11 Gauge R&R variance components.Table 8.12 Gauge evaluation.Table 8.13 Measurement data for Problem 8.34.Table 8.14 Measurement data for Problem 8.36.Table 8.15 Measurement data for Problem 8.37.

      8 Chapter 9Table 9.1a