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Index
Preface
Chapter 1 The Where, Why, and How of Data Collection
What is Business Statistics?
Descriptive Statistics
Charts and Graphs
Inferential Procedures
Estimation
Hypothesis Testing
Procedures for Collecting Data
Data Collection
Written Questionnaires and Surveys
Direct Observation and Personal Interviews
Other Data Collection Methods
Data Collection Issues
Interviewer Bias
Nonresponse Bias
Selection Bias
Observer Bias
Measurement Error
Internal Validity
External Validity
Populations, Samples, and Sampling Techniques
Populations and Samples
Parameters and Statistics
Sampling Techniques
Statistical Sampling
Data Types and Data Measurement Levels
Quantitative and Qualitative Data
Time-Series Data and Cross-Sectional Data
Data Measurement Levels
Nominal Data
Ordinal Data
Interval Data
Ratio Data
Visual Summary
Key Terms
Chapter Exercises
Video Case 1: Statistical Data Collection @ McDonald’s
References
Chapter 2 Graphs, Charts, and Tables—Describing Your Data
Frequency Distributions and Histograms
Frequency Distribution
Grouped Data Frequency Distributions
Steps for Grouping Data into Classes
Histograms
Issues with Excel
Relative Frequency Histograms and Ogives
Joint Frequency Distributions
Bar Charts, Pie Charts, and Stem and Leaf Diagrams
Bar Charts
Pie Charts
Stem and Leaf Diagrams
Line Charts and Scatter Diagrams
Line Charts
Scatter Diagrams
Personal Computers
Visual Summary
Equations
Key Terms
Chapter Exercises
Video Case 2: Drive-Thru Service Times @ McDonald’s
Case 2.1: Server Downtime
Case 2.2: Yakima Apples, Inc.
Case 2.3: Welco Lumber Company—Part A
References
Chapter 3 Describing Data Using Numerical Measures
Measures of Center and Location
Parameters and Statistics
Population Mean
Sample Mean
The Impact of Extreme Values on the Mean
Median
Skewed and Symmetric Distributions
Mode
Applying the Measures of Central Tendency
Issues with Excel
Other Measures of Location
Weighted Mean
Percentiles
Quartiles
Issues with Excel
Box and Whisker Plots
Data-Level Issues
Measures of Variation
Range
Interquartile Range
Population Variance and Standard Deviation
Sample Variance and Standard Deviation
Using the Mean and Standard Deviation Together
Coefficient of Variation
The Empirical Rule
Tchebysheff’s Theorem
Standardized Data Values
Visual Summary
Equations
Key Terms
Chapter Exercises
Video Case 3: Drive-Thru Service Times at McDonald’s
Case 3.1: WGI — Human Resources
Case 3.2: National Call Center
Case 3.3: Welco Lumber Company—Part B
Case 3.4: AJ’s Fitness Center
References
Chapters 1-3 Special Review Section
Chapters 1-3
Exercises
Review Case 1: State Department of Insurance
Term Project Assignments
Chapter 4 Introduction to Probability
The Basics of Probability
Important Probability Terms
Events and Sample Space
Using Tree Diagrams
Mutually Exclusive Events
Independent and Dependent Events
Methods of Assigning Probability
Classical Probability Assessment
Relative Frequency Assessment
Subjective Probability Assessment
The Rules of Probability
Measuring Probabilities
Possible Values and the Summation of Possible Values
Addition Rule for Individual Outcomes
Complement Rule
Addition Rule for Two Events
Addition Rule for Mutuallly Exclusive Events
Conditional Probability
Tree Diagrams
Conditional Probability for Independent Events
Multiplication Rule
Multiplication Rule for Two Events
Using a Tree Diagram
Multiplication Rule for Independent Events
Bayes’ Theorem
Visual Summary
Equations
Key Terms
Chapter Exercises
Case 4.1: Great Air Commuter Service
Case 4.2: Let’s Make a Deal
References
Chapter 5 Discrete Probability Distributions
Introduction to Discrete Probability Distributions
Random Variables
Displaying Discrete Probability Distributions Graphically
Mean and Standard Deviation of Discrete Distributions
Calculating the Mean
Calculating the Standard Deviation
The Binomial Probability Distribution
The Binomial Distribution
Characteristics of the Binomial Distribution
Combinations
Binomial Formula
Using the Binomial Distribution Table
Mean and Standard Deviation of the Binomial Distribution
Additional Information about the Binomial Distribution
Other Discrete Probability Distributions
The Poisson Distribution
Characteristics of the Poisson Distribution
Poisson Probability Distribution Table
The Mean and Standard Deviation of the Poisson Distribution
The Hypergeometric Distribution
The Hypergeometric Distribution with More Than Two Possible Outcomes per Trial
Visual Summary
Equations
Key Terms
Chapter Exercises
Case 5.1: SaveMor Pharmacies
Case 5.2: Arrowmark Vending
Case 5.3: Boise Cascade Corporation
References
Chapter 6 Introduction to Continuous Probability Distributions
The Normal Probability Distribution
The Normal Distribution
The Standard Normal Distribution
Using the Standard Normal Table
Approximate Areas under the Normal Curve
Other Continuous Probability Distributions
Uniform Probability Distribution
The Exponential Probability Distribution
Visual Summary
Equations
Key Terms
Chapter Exercises
Case 6.1: State Entitlement Programs
Case 6.2: Credit Data, Inc.
Case 6.3: American Oil Company
References
Chapter 7 Introduction to Sampling Distributions
Sampling Error: What It Is and Why It Happens
Calculating Sampling Error
The Role of Sample Size in Sampling Error
Sampling Distribution of the Mean
Simulating the Sampling Distribution for
Sampling from Normal Populations
The Central Limit Theorem
Sampling Distribution of a Proportion
Working with Proportions
Sampling Distribution of p
Visual Summary
Equations
Key Terms
Chapter Exercises
Case 7.1: Carpita Bottling Company
Case 7.2: Truck Safety Inspection
References
Chapter 8 Estimating Single Population Parameters
Point and Confidence Interval Estimates for a Population Mean
Point Estimates and Confidence Intervals
Confidence Interval Estimate for the Population Mean, σ Known
Confidence Interval Calculation
Impact of the Confidence Level on the Interval Estimate
Impact of the Sample Size on the Interval Estimate
Confidence Interval Estimates for the Population Mean, σ Unknown
Student’s t -Distribution
Estimation with Larger Sample Sizes
Determining the Required Sample Size for Estimating a Population Mean
Determining the Required Sample Size for Estimating μ , σ Known
Determining the Required Sample Size for Estimating μ , σ Unknown
Estimating a Population Proportion
Confidence Interval Estimate for a Population Proportion
Determining the Required Sample Size for Estimating a Population Proportion
Visual Summary
Equations
Key Terms
Chapter Exercises
Video Case 4: New Product Introductions @ McDonald’s
Case 8.1: Management Solutions, Inc.
Case 8.2: Federal Aviation Administration
Case 8.3: Cell Phone Use
References
Chapter 9 Introduction to Hypothesis Testing
Hypothesis Tests for Means
Formulating the Hypotheses
Null and Alternative Hypotheses
Testing the Status Quo
Testing a Research Hypothesis
Testing a Claim about the Population
Types of Statistical Errors
Significance Level and Critical Value
Hypothesis Test for μ , σ Known
Calculating Critical Values
Decision Rules and Test Statistics
p -Value Approach
Types of Hypothesis Tests
p -Value for Two-Tailed Tests
Hypothesis Test for μ , σ Unknown
Hypothesis Tests for Proportions
Testing a Hypothesis about a Single Population Proportion
Type II Errors
Calculating Beta
Controlling Alpha and Beta
Power of the Test
Visual Summary
Equations
Key Terms
Chapter Exercises
Video Case 4: New Product Introductions @ McDonald’s
Case 9.1: Campbell Brewery, Inc. — Part 1
Case 9.2: Wings of Fire
References
Chapter 10 Estimation and Hypothesis Testing for Two Population Parameters
Estimation for Two Population Means Using Independent Samples
Estimating the Difference between Two Population Means when σ 1 and σ 2 Are Known, Using Independent Samples
Estimating the Difference between Two Means when σ 1 and σ 2 Are Unknown, Using Independent Samples
What if the Population Variances Are Not Equal
Hypothesis Tests for Two Population Means Using Independent Samples
Testing for μ 1 – μ 1 When σ 1 and μ 2 Are Known, Using Independent Samples
Using p -Values
Testing μ 1 – μ 2 When σ 1 and σ 2 Are Unknown, Using Independent Samples
What If the Population Variances are Not Equal?
Interval Estimation and Hypothesis Tests for Paired Samples
Why Use Paired Samples?
Hypothesis Testing for Paired Samples
Estimation and Hypothesis Tests for Two Population Proportions
Estimating the Difference between Two Population Proportions
Hypothesis Tests for the Difference between Two Population Proportions
Visual Summary
Equations
Key Terms
Chapter Exercises
Case 10.1: Motive Power Company—Part 1
Case 10.2: Hamilton Marketing Services
Case 10.3: Green Valley Assembly Company
Case 10.4: U-Need-It Rental Agency
References
Chapter 11 Hypothesis Tests and Estimation for Population Variances
Hypothesis Tests and Estimation for a Single Population Variance
Chi-Square Test for One Population Variance
Interval Estimation for a Population Variance
Hypothesis Tests for Two Population Variances
F -Test for Two Population Variances
Additional F -Test Considerations
Visual Summary
Equations
Key Terms
Chapter Exercises
Case 11.1: Motive Power Company—Part 2
References
Chapter 12 Analysis of Variance
One-Way Analysis of Variance
Introduction to One-Way ANOVA
Partitioning the Sum of Squares
The ANOVA Assumptions
Applying One-Way ANOVA
The Tukey-Kramer Procedure for Multiple Comparisons
Fixed Effects Versus Random Effects in Analysis of Variance
Randomized Complete Block Analysis of Variance
Randomized Complete Block ANOVA
Was Blocking Necessary?
Fisher’s Least Significant Difference Test
Two-Factor Analysis of Variance with Replication
Two-Factor ANOVA with Replications
Interaction Explained
A Caution about Interaction
Visual Summary
Equations
Key Terms
Chapter Exercises
Video Case 3: Drive-Thru Service Times @ McDonald’s
Case 12.1: Agency for New Americans
Case 12.2: McLaughlin Salmon Works
Case 12.3: NW Pulp and Paper
Case 12.4: Quinn Restoration
Business Statistics Capstone Project
References
Chapters 8-12 Special Review Section
Chapters 8-12
Using the Flow Diagrams
Exercises
Term Project Assignments
Business Statistics Capstone Project
Chapter 13 Goodness-of-Fit Tests and Contingency Analysis
Introduction to Goodness-of-Fit Tests
Chi-Square Goodness-of-Fit Test
Introduction to Contingency Analysis
2 × 2 Contingency Tables
r × c Contingency Tables
Chi-Square Test Limitations
Visual Summary
Equations
Key Term
Chapter Exercises
Case 13.1: American Oil Company
Case 13.2: Bentford Electronics—Part 1
References
Chapter 14 Introduction to Linear Regression and Correlation Analysis
Scatter Plots and Correlation
The Correlation Coefficient
Significance Test for the Correlation
Cause-and-Effect Interpretations
Simple Linear Regression Analysis
The Regression Model and Assumptions
Meaning of the Regression Coefficients
Least Squares Regression Properties
Significance Tests in Regression Analysis
The Coefficient of Determination, R 2
Significance of the Slope Coefficient
Uses for Regression Analysis
Regression Analysis for Description
Regression Analysis for Prediction
Confidence Interval for the Average y Given x
Prediction Interval for a Particular y Given x
Common Problems Using Regression Analysis
Visual Summary
Equations
Key Terms
Chapter Exercises
Case 14.1: A & A Industrial Products
Case 14.2: Sapphire Coffee—Part 1
Case 14.3: Alamar Industries
Case 14.4: Continental Trucking
References
Chapter 15 Multiple Regression Analysis and Model Building
Introduction to Multiple Regression Analysis
Basic Model-Building Concepts
Model Specification
Model Building
Model Diagnosis
Computing the Regression Equation
The Coefficient of Determination
Is the Model Significant?
Are the Individual Variables Significant?
Is the Standard Deviation of the Regression Model Too Large?
Is Multicollinearity a Problem?
Confidence Interval Estimation for Regression Coefficients
Using Qualitative Independent Variables
Possible Improvements to the First City Appraisal Model
Working with Nonlinear Relationships
The Partial- F Test
Stepwise Regression
Forward Selection
Backward Elimination
Standard Stepwise Regression
Best Subsets Regression
Determining the Aptness of the Model
Analysis of Residuals
Checking for Linearity
Do the Residuals Have Equal Variances at all Levels of Each x Variable?
Are the Residuals Independent?
Checking for Normally Distributed Error Terms
Corrective Actions
Visual Summary
Equations
Key Terms
Chapter Exercises
Case 15.1: Dynamic Scales, Inc.
Case 15.2: Glaser Machine Works
Case 15.3: Hawlins Manufacturing
Case 15.4: Sapphire Coffee—Part 2
Case 15.5: Wendell Motors
References
Chapter 16 Analyzing and Forecasting Time-Series Data
Introduction to Forecasting, Time-Series Data, and Index Numbers
General Forecasting Issues
Components of a Time Series
Trend Component
Seasonal Component
Cyclical Component
Random Component
Introduction to Index Numbers
Aggregate Price Indexes
Weighted Aggregate Price Indexes
The Paasche Index
The Laspeyres Index
Commonly Used Index Numbers
Consumer Price Index
Producer Price Index
Stock Market Indexes
Using Index Numbers to Deflate a Time Series
Trend-Based Forecasting Techniques
Developing a Trend-Based Forecasting Model
Comparing the Forecast Values to the Actual Data
Autocorrelation
True Forecasts
Nonlinear Trend Forecasting
Some Words of Caution
Adjusting for Seasonality
Computing Seasonal Indexes
The Need to Normalize the Indexes
Deseasonalizing
Using Dummy Variables to Represent Seasonality
Forecasting Using Smoothing Methods
Exponential Smoothing
Single Exponential Smoothing
Double Exponential Smoothing
Visual Summary
Equations
Key Terms
Chapter Exercises
Video Case 2: Restaurant Location and Re-imaging Decisions @ McDonald’s
Case 16.1: Park Falls Chamber of Commerce
Case 16.2: The St. Louis Companies
Case 16.3: Wagner Machine Works
References
Chapter 17 Introduction to Nonparametric Statistics
The Wilcoxon Signed Rank Test for One Population Median
The Wilcoxon Signed Rank Test—Single Population
Nonparametric Tests for Two Population Medians
The Mann-Whitney U -Test
Mann-Whitney U -Test—Large Samples
The Wilcoxon Matched-Pairs Signed Rank Test
Ties in the Data
Large-Sample Wilcoxon Test
Kruskal-Wallis One-Way Analysis of Variance
Limitations and Other Considerations
Visual Summary
Equations
Chapter Exercises
Case 17.1: Bentford Electronics—Part 2
References
Chapter 18 Introduction to Quality and Statistical Process Control
Quality Management and Tools for Process Improvement
The Tools of Quality for Process Improvement
Process Flowcharts
Brainstorming
Fishbone Diagram
Histograms
Trend Charts
Scatter Plots
Statistical Process Control Charts
Introduction to Statistical Process Control Charts
The Existence of Variation
Sources of Variation
Types of Variation
The Predictability of Variation: Understanding the Normal Distribution
The Concept of Stability
Introducing Statistical Process Control Charts
Chart and R -Chart
Using the Control Charts
p -Charts
Using the p -Chart
c -Charts
Other Control Charts
Visual Summary
Equations
Key Terms
Chapter Exercises
Case 18.1: Izbar Precision Casters, Inc.
References
APPENDIX A Random Numbers Table
APPENDIX B Binomial Distribution Table
APPENDIX C Poisson Probability Distribution Table
APPENDIX D Standard Normal Distribution Table
APPENDIX E Exponential Distribution Table
APPENDIX F Values of t for Selected Probabilities
APPENDIX G Values of χ 2 for Selected Probabilities
APPENDIX H F -Distribution Table
APPENDIX I Critical Values of Hartley’s F max Test
APPENDIX J Distribution of the Studentized Range ( q -values)
APPENDIX K Critical Values of r in the Runs Test
APPENDIX L Mann-Whitney U Test Probabilities ( n < 9)
APPENDIX M Mann-Whitney U Test Critical Values (9 ≤ n ≤ 20)
APPENDIX N Critical Values of T in the Wilcoxon Matched-Pairs Signed-Ranks Test ( n ≤ 25)
APPENDIX O Critical Values d L and d U of the Durbin-Watson Statistic D
APPENDIX P Lower and Upper Critical Values W of Wilcoxon Signed-Ranks Test
APPENDIX Q Control Chart Factors
Appendices
Answers to Selected Odd-Numbered Problems
Glossary
Index
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