# Business Statistics, 2nd edition

Published by Pearson (January 9, 2014) Â© 2015

**Robert A. Donnelly**

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Preface

Acknowledgments

Dear Students

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**1. An Introduction to Business Statistics**

1.1 Business Statistics and Their Uses

1.2 Data

1.3 Descriptive and Inferential Statistics

1.4 Ethics and Statisticsâ€”Itâ€™s a Dangerous World of Data Out There

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**2. Displaying Descriptive Statistics**

2.1 The Role Technology Plays in Statistics

2.2 Displaying Quantitative Data

2.3 Displaying Qualitative Data

2.4 Contingency Tables

2.5 Stem and Leaf Display

2.6 Scatter Plots

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**3. Calculating Descriptive Statistics**

3.1 Measures of Central Tendency

3.2 Measures of Variability

3.3 Using the Mean and Standard Deviation Together

3.4 Working with Grouped Data

3.5 Measures of Relative Position

3.6 Measures of Association Between Two Variables

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**4. Introduction to Probabilities**

4.1 An Introduction to Probabilities

4.2 Probability Rules for More Than One Event

4.3 Counting Principles

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**5. Discrete Probability Distributions**

5.1 Introduction to Discrete Probability Distributions

5.2 Binomial Distributions

5.3 Poisson Distributions

5.4 The Hypergeometric Distribution

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**6. Continuous Probability Distributions**

6.1 Continuous Random Variables

6.2 Normal Probability Distributions

6.3 Exponential Probability Distributions

6.4 Uniform Probability Distributions

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**7. Sampling and Sampling Distributions**

7.1 Why Sample?

7.2 Types of Sampling

7.3 Sampling and Nonsampling Errors

7.4 The Central Limit Theorem

7.5 The Sampling Distribution of the Proportion

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**8. Confidence Intervals**

8.1 Point Estimates

8.2 Calculating Confidence Intervals for the Mean when the Standard Deviation (Ïƒ) of a Population Is Known

8.3 Calculating Confidence Intervals for the Mean when the Standard Deviation (Ïƒ) of a Population Is Unknown

8.4 Calculating Confidence Intervals for Proportions

8.5 Determining the Sample Size

8.6 Calculating Confidence Intervals for Finite Populations

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**9. Hypothesis Testing for a Single Population**

9.1 An Introduction to Hypothesis Testing

9.2 Hypothesis Testing for the Population Mean When Ïƒ Is Known

9.3 Hypothesis Testing for the Population Mean when Ïƒ Is Unknown

9.4 Hypothesis Testing for the Proportion of a Population

9.5 Type II Errors

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**10. Hypothesis Tests Comparing Two Populations**

10.1 Comparing Two Population Means with

10.2 Comparing Two Population Means with

10.3 Hypothesis Testing With Dependent Samples

10.4 Comparing Two Population Proportions with Independent Samples

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**11. Analysis of Variance (ANOVA) Procedures**

11.1 One-Way ANOVA: Examining the Effect a Single Factor Has on the Means of Populations

11.2 Randomized Block ANOVA: Examining the Effects of a Single Factor by Blocking a Second Factor

11.3 Two-Way ANOVA: Examining the Effects Two Factors Have on the Means of Populations

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**12. Chi-Square Tests**

12.1 Comparing Two or More Population Proportions

12.2 Determining If Observed Frequencies Follow a Known Probability Distribution

12.3 Testing the Independence of Two Variables

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**13. Hypothesis Tests for the Population Variance**

13.1 Testing the Variance of a Single Population

13.2 Comparing the Variances of Two Populations

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**14. Correlation and Simple Linear Regression**

14.1 Dependent and Independent Variables

14.2 Correlation Analysis

14.3 Simple Linear Regression Analysis

14.4 Using a Regression to Make a Prediction

14.5 Testing the Significance of the Slope of the Regression Equation

14.6 Assumptions for Regression Analysis

14.7 A Simple Regression Example with a Negative Correlation

14.8 Some Final (but Very Important) Thoughts

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**15. Multiple Regression and Model Building**

15.1 Developing the Multiple Regression Model

15.2 Explaining the Variation of the Dependent Variable

15.3 Inferences about the Independent Variables

15.4 Using Qualitative Independent Variables

15.5 Model Building

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**16. Forecasting**

16.1 Introduction to Forecasting

16.2 Smoothing Forecasting Methods

16.3 Forecasting with Regression Analysis

16.4 Forecasting with Seasonality

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**17. Decision Analysis**

17.1 Introduction to Decision Analysis

17.2 Constructing a Decision Table

17.3 Decision Making Under Uncertainty

17.4 Decision Making Under Risk

17.5 Decision Making Using Decision Trees

17.6 Using Bayesâ€™ Theorem to Calculate Posterior Probabilities

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**18. Nonparametric Statistics**

18.1 Introduction to Nonparametric Statistics

18.2 The Sign Test

18.3 The Wilcoxon Rank-Sum Test for Two Independent Samples

18.4 The Wilcoxon Signed-Rank Test for Two Dependent Samples

18.5 The Kruskal-Wallis One-Way ANOVA

18.6 The Spearman Rank-Order Correlation Coefficient

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**Appendix A**

Table 1 Binomial Probabilities

Table 2 Poisson Probabilities

Table 3 Cumulative Probabilities for the Standard Normal Distribution

Table 4 Cumulative Probabilities for the Standard Normal Distribution

Table 5 Studentâ€™s *t*-distribution

Table 6 *F*-distribution

Table 7 Critical Values of the Studentized Range, *Q*

Table 8 Chiâ€“Square Distribution

Table 9 Critical Values for the Durbin-Watson Statistic

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**Appendix B:** Answers to Selected Even-Numbered Problems

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Index of Applications

Index

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