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Understandable Statistics: Concepts and Methods by Charles Henry Brase EBOOK PDF Instant Download

Table of Contents

Contents

Preface

Table of Prerequisite Material

Chapter 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

Summary

Important Words & Symbols

Chapter Review Problems

Data Highlights: Group Projects

Linking Concepts: Writing Projects

Using Technology

Chapter 2: Organizing Data

Focus Problem: Say It with Pictures

2.1 Frequency Distributions, Histograms, and Related Topics

2.2 Bar Graphs, Circle Graphs, and Time-Series Graphs

2.3 Stem-and-Leaf Displays

Summary

Important Words & Symbols

Chapter Review Problems

Data Highlights: Group Projects

Linking Concepts: Writing Projects

Using Technology

Chapter 3: Averages and Variation

Focus Problem: Water: Yellowstone River

3.1 Measures of Central Tendency: Mode, Median, and Mean

3.2 Measures of Variation

3.3 Percentiles and Box-and-Whisker Plots

Summary

Important Words & Symbols

Chapter Review Problems

Data Highlights: Group Projects

Linking Concepts: Writing Projects

Using Technology

Cumulative Review Problems: Chapters 1-3

Chapter 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

Summary

Important Words & Symbols

Chapter Review Problems

Data Highlights: Group Projects

Linking Concepts: Writing Projects

Using Technology

Chapter 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 Poisson Probability Distributions

Summary

Important Words & Symbols

Chapter Review Problems

Data Highlights: Group Projects

Linking Concepts: Writing Projects

Using Technology

Chapter 6: Normal Curves and Sampling Distributions

Focus Problem: Impulse Buying

Part I: Normal Distributions

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

Part II: Sampling Distributions and the Normal Approximation to Binomial Distribution

6.4 Sampling Distributions

6.5 The Central Limit Theorem

6.6 Normal Approximation to Binomial Distribution and to pˆ Distribution

Summary

Important Words & Symbols

Chapter Review Problems

Data Highlights: Group Projects

Linking Concepts: Writing Projects

Using Technology

Cumulative Review Problems: Chapters 4-6

Chapter 7: Estimation

Focus Problem: The Trouble with Wood Ducks

Part I: Estimating a Single Mean or Single Proportion

7.1 Estimating m When s Is Known

7.2 Estimating u When o Is Unknown

7.3 Estimating p in the Binomial Distribution

Part II: Estimating the Difference Between Two Means or Two Proportions

7.4 Estimating u1-u2 and p1-p2

Summary

Important Words & Symbols

Chapter Review Problems

Data Highlights: Group Projects

Linking Concepts: Writing Projects

Using Technology

Chapter 8: Hypothesis Testing

Focus Problem: Benford’s Law: The Importance of Being Number 1

Part I: Testing a Single Mean or Single Proportion

8.1 Introduction to Statistical Tests

8.2 Testing the Mean m

8.3 Testing a Proportion p

Part II: Testing a Difference Between Two Means or Two Proportions

8.4 Tests Involving Paired Differences (Dependent Samples)

8.5 Testing m1 – m2 and p1 – p2 (Independent Samples)

Summary

Finding the P-Value Corresponding to a Sample Test Statistic

Important Words & Symbols

Chapter Review Problems

Data Highlights: Group Projects

Linking Concepts: Writing Projects

Using Technology

Chapter 9: Correlation and Regression

Focus Problem: Changing Populations and Crime Rate

Part I: Simple Linear Regression

9.1 Scatter Diagrams and Linear Correlation

9.2 Linear Regression and the Coefficient of Determination

9.3 Inferences for Correlation and Regression

Part II: Multiple Regression

9.4 Multiple Regression

Summary

Important Words & Symbols

Chapter Review Problems

Data Highlights: Group Projects

Linking Concepts: Writing Projects

Using Technology

Cumulative Review Problems: Chapters 7-9

Chapter 10: Chi-Square and F Distributions

Focus Problem: Archaeology in Bandelier National Monument

Part I: Inferences Using the Chi-Square Distribution

Overview of the Chi-Square Distribution

10.1 Chi-Square: Tests of Independence and of Homogeneity

10.2 Chi-Square: Goodness of Fit

10.3 Testing and Estimating a Single Variance or Standard Deviation

Part II: Inferences Using the F Distribution

Overview of the F Distribution

10.4 Testing Two Variances

10.5 One-Way ANOVA: Comparing Several Sample Means

10.6 Introduction to Two-Way ANOVA

Summary

Important Words & Symbols

Chapter Review Problems

Data Highlights: Group Projects

Linking Concepts: Writing Projects

Using Technology

Chapter 11: Nonparametric Statistics

Focus Problem: How Cold? Compared to What?

11.1 The Sign Test for Matched Pairs

11.2 The Rank-Sum Test

11.3 Spearman Rank Correlation

11.4 Runs Test for Randomness

Summary

Important Words & Symbols

Chapter Review Problems

Data Highlights: Group Projects

Linking Concepts: Writing Projects

Cumulative Review Problems: Chapters 10-11

Appendix I: Additional Topics

Part 1: Bayes’s Theorem

Part 2: The Hypergeometric Probability Distribution

Appendix II: Tables

Table 1: Random Numbers

Table 2: Binomial Coefficients Cn,r

Table 3: Binomial Probability Distribution Cn,r prqn – r

Table 4: Poisson Probability Distribution

Table 5: Areas of a Standard Normal Distribution

Table 6: Critical Values for Student’s t Distribution

Table 7: The x2 Distribution

Table 8: Critical Values for F Distribution

Table 9: Critical Values for Spearman Rank Correlation, r

Table 10: Critical Values for Number of Runs R (Level of Significance u= 0.05)

Answers and Key Steps to Odd-Numbered Problems

Answers to Selected Even-Numbered Problems

Index