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Understandable Statistics is a thorough, yet approachable statistics text. Designed to help students overcome their apprehension about statistics, the text provides guidance and informal advice showing students the links between statistics and their everyday lives. To reinforce this approach, the book integrates real-life data selected from a variety of sources including journals, periodicals, newspapers and the Internet. The use of graphing calculators, Excel, Minitab and SPSS is covered, but not required.
Note: Each chapter concludes with a Summary, Important Words & Symbols, Chapter Review Problems, Data Highlights: Group Projects, Linking Concepts: Writing Projects, and Using Technology.
1. Getting Started
Focus Problem: Where Have All the Fireflies Gone?
1.1 What Is Statistics?
1.2 Random Samples
1.3 Introduction to Experimental Design
2. Organizing Data
Focus Problem: Say it with Pictures
2.1 Bar Graphs, Circle Graphs, and Time Plots
2.2 Frequency Distributions and Histograms
2.3 Stem-and-Leaf Displays
3. Averages and Variation
Focus Problem: Why Bother!
3.1 Measures of Central Tendency: Mode, Medium, and Mean
3.2 Measures of Variation
3.3 Mean and Standard Deviation of Grouped Data
3.4 Percentiles and Box-and-Whisker Plots
4. Elementary Probability Theory
Focus Problem: How Often Do Lie Detectors Lie?
4.1 What is Probability?
4.2 Some Probability Rules-Compound Events
4.3 Trees and Counting Techniques
5. The Binomial Probability
Distribution and Related Topics
Focus Problem: Personality Preference Types: Introvert or Extrovert?
5.1 Introduction to Random Variables and Probability Distributions
5.2 Binomial Probabilities
5.3 Additional Properties of the Binomial Distribution
5.4 The Geometric and Poissson Probability Distributions
6. Normal Distributions
Focus Problem: Large Auditorium Shows: How Many Will Attend?
6.1 Graphs of Normal Probability Distributions
6.2 Standard Units and Areas Under the Standard Normal Distribution
6.3 Areas Under Any Normal Curve
6.4 Normal Approximation to the Binomial Distribution
7. Introduction to Sampling Distributions
Focus Problem: Impulse Buying
7.1 Sampling Distributions
7.2 The Central Limit Theorem
7.3 Sampling Distribution for Proportions
8. Estimation
Focus Problem: The Trouble with Wood Ducks
8.1 Estimating m with Large Samples
8.2 Estimating m with Small Samples
8.3 Estimating r in the Binomial Distribution
8.4 Choosing the Sample Size
8.5 Estimating m1-m2 and r1-r2
9. Hypothesis Testing
Focus Problem: Business Opportunities and Start-Up Costs
9.1 Introduction to Hypothesis Testing
9.2 Test Involving the Mean m (Large Samples)
9.3 The P Value in Hypothesis Testing
9.4 Tests Involving the Mean m (Small Samples)
9.5 Tests Involving a Proportion
9.6 Tests Involving Paired Differences (Dependent Samples)
9.7 Testing Differences of Two Means or Two Proportions (Independent Samples)
10. Regression and Correlation
Focus Problem: Getting the Best Price
10.1 Introduction to paired Data and Scatter Diagrams
10.2 Linear Regression and Confidence Bounds for Prediction
10.3 The Linear Correlation Coefficient
10.4 Testing the Correlation Coefficient
10.5 Multiple Regression
11. Chi Square and F Distributions
Focus Problem: Stone Age Tools and Archaeology
11.1 Chi Square: Tests of Independence
11.2 Chi Square: Goodness of Fit
11.3 Testing and Estimating a Single Variance or Standard Deviation
11.4 Testing Two Variances
11.5 One-Way ANOVA: Comparing Several Sample Means
11.6 Introduction to Two-Way ANOVA
12. Nonparametric Statistics
Focus Problem: How Cold? Compared to What?
12.1 The Sign Test
12.2 The Rank-Sum Test
12.3 Spearman Rank Correlation
Appendix I: Additional Topics
Part I: Bayes's Theorem
Part II: The Hypergeometric Probability Distirubtion
Part III: Alternate Normal Distribution Table
Appendix II: Tables
1. Random Numbers
2. Binomial Coefficients Cn,r
3. Binomial Probability Distribution Cn,rprqn-r
4. Poisson Probability Distribution
5. Areas of a Standard Normal Distribution
6. Student's t Distribution
7. Critical Values of Pearson Product Moment Correlation Coefficient, r
8. The x2 Distrubtion
9. The F Distrubtion
10. Critical Values for Spearman Rank Correlation, rs
Answers and Key Steps to Odd-Numbered Problems
Answers to Selected Even-Numbered Problems (IAE only)
Charles Henry Brase and Corrinne Pellillo, Brase
ISBN13: 978-0618496587Understandable Statistics is a thorough, yet approachable statistics text. Designed to help students overcome their apprehension about statistics, the text provides guidance and informal advice showing students the links between statistics and their everyday lives. To reinforce this approach, the book integrates real-life data selected from a variety of sources including journals, periodicals, newspapers and the Internet. The use of graphing calculators, Excel, Minitab and SPSS is covered, but not required.
Table of Contents
Note: Each chapter concludes with a Summary, Important Words & Symbols, Chapter Review Problems, Data Highlights: Group Projects, Linking Concepts: Writing Projects, and Using Technology.
1. Getting Started
Focus Problem: Where Have All the Fireflies Gone?
1.1 What Is Statistics?
1.2 Random Samples
1.3 Introduction to Experimental Design
2. Organizing Data
Focus Problem: Say it with Pictures
2.1 Bar Graphs, Circle Graphs, and Time Plots
2.2 Frequency Distributions and Histograms
2.3 Stem-and-Leaf Displays
3. Averages and Variation
Focus Problem: Why Bother!
3.1 Measures of Central Tendency: Mode, Medium, and Mean
3.2 Measures of Variation
3.3 Mean and Standard Deviation of Grouped Data
3.4 Percentiles and Box-and-Whisker Plots
4. Elementary Probability Theory
Focus Problem: How Often Do Lie Detectors Lie?
4.1 What is Probability?
4.2 Some Probability Rules-Compound Events
4.3 Trees and Counting Techniques
5. The Binomial Probability
Distribution and Related Topics
Focus Problem: Personality Preference Types: Introvert or Extrovert?
5.1 Introduction to Random Variables and Probability Distributions
5.2 Binomial Probabilities
5.3 Additional Properties of the Binomial Distribution
5.4 The Geometric and Poissson Probability Distributions
6. Normal Distributions
Focus Problem: Large Auditorium Shows: How Many Will Attend?
6.1 Graphs of Normal Probability Distributions
6.2 Standard Units and Areas Under the Standard Normal Distribution
6.3 Areas Under Any Normal Curve
6.4 Normal Approximation to the Binomial Distribution
7. Introduction to Sampling Distributions
Focus Problem: Impulse Buying
7.1 Sampling Distributions
7.2 The Central Limit Theorem
7.3 Sampling Distribution for Proportions
8. Estimation
Focus Problem: The Trouble with Wood Ducks
8.1 Estimating m with Large Samples
8.2 Estimating m with Small Samples
8.3 Estimating r in the Binomial Distribution
8.4 Choosing the Sample Size
8.5 Estimating m1-m2 and r1-r2
9. Hypothesis Testing
Focus Problem: Business Opportunities and Start-Up Costs
9.1 Introduction to Hypothesis Testing
9.2 Test Involving the Mean m (Large Samples)
9.3 The P Value in Hypothesis Testing
9.4 Tests Involving the Mean m (Small Samples)
9.5 Tests Involving a Proportion
9.6 Tests Involving Paired Differences (Dependent Samples)
9.7 Testing Differences of Two Means or Two Proportions (Independent Samples)
10. Regression and Correlation
Focus Problem: Getting the Best Price
10.1 Introduction to paired Data and Scatter Diagrams
10.2 Linear Regression and Confidence Bounds for Prediction
10.3 The Linear Correlation Coefficient
10.4 Testing the Correlation Coefficient
10.5 Multiple Regression
11. Chi Square and F Distributions
Focus Problem: Stone Age Tools and Archaeology
11.1 Chi Square: Tests of Independence
11.2 Chi Square: Goodness of Fit
11.3 Testing and Estimating a Single Variance or Standard Deviation
11.4 Testing Two Variances
11.5 One-Way ANOVA: Comparing Several Sample Means
11.6 Introduction to Two-Way ANOVA
12. Nonparametric Statistics
Focus Problem: How Cold? Compared to What?
12.1 The Sign Test
12.2 The Rank-Sum Test
12.3 Spearman Rank Correlation
Appendix I: Additional Topics
Part I: Bayes's Theorem
Part II: The Hypergeometric Probability Distirubtion
Part III: Alternate Normal Distribution Table
Appendix II: Tables
1. Random Numbers
2. Binomial Coefficients Cn,r
3. Binomial Probability Distribution Cn,rprqn-r
4. Poisson Probability Distribution
5. Areas of a Standard Normal Distribution
6. Student's t Distribution
7. Critical Values of Pearson Product Moment Correlation Coefficient, r
8. The x2 Distrubtion
9. The F Distrubtion
10. Critical Values for Spearman Rank Correlation, rs
Answers and Key Steps to Odd-Numbered Problems
Answers to Selected Even-Numbered Problems (IAE only)