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Summary
Elementary Statistics: A Brief Version, 4th Edition is a shorter version of Allan Bluman's popular text Elementary Statistics: A Step by Step Approach, 6th edition. This softcover edition includes all the features of the longer book, but is designed for a course in which the time available limits the number of topics covered. The book is written for general beginning statistics courses with a basic algebra prerequisite. The book use a non-theoretical approach, explaining concepts intuitively and teaching problem solving through worked examples step-by-step.
Table of Contents
Preface 1: The Nature of Probability and Statistics 1.1 Introduction 1.2 Descriptive and Inferential Statistics 1.3 Variables and Types of Data 1.4 Data Collection and Sampling Techniques 1.5 Observational and Experimental Studies 1.6 Uses and Misuses of Statistics 1.7 Computers and Calculators 1.8 Summary 2: Frequency Distributions and Graphs 2.1 Introduction 2.2 Organizing Data 2.3 Histograms, Frequency Polygons, and Ogives 2.4 Other Types of Graphs 2.5 Paired Data and Scatter Plots Ana 2.6 Summary 3: Data Description 3.1 Introduction 3.2 Measures of Central Tendency 3.3 Measures of Variation 3.4 Measures of Position 3.5 Exploratory Data Analysis 3.6 Summary 4: Probability and Counting Rules 4.1 Introduction 4.2 Sample Spaces and Probability 4.3 The Addition Rules for Probability 4.4 The Multiplication Rules and Conditional Probability 4.5 Counting Rules 4.6 Probability and Counting Rules 4.7 Summary 5: Discrete Probability Distributions 5.1 Introduction 5.2 Probability Distributions 5.3 Mean, Variance, Standard Deviation, and Expectation 5.4 The Binomial Distribution 5.5 Summary 6: The Normal Distribution 6.1 Introduction 6.2 Properties of the Normal Distribution 6.3 The Standard Normal Distribution 6.4 Applications of the Normal Distribution 6.5 The Central Limit Theorem 6.6 The Normal Approximation to the Binomial Distribution 6.7 Summary 7: Confidence Intervals and Sample Size 7.1 Introduction 7.2 Confidence Intervals for the Mean (Sigma Known or n > 30) and Sample Size 7.3 Confidence Intervals for the Mean (Sigma Unknown and n < 30) 7.4 Confidence Intervals and Sample Size for Proportions 7.5 Confidence Intervals for Variances and Standard Deviations 7.6 Summary 8: Hypothesis Testing 8.1 Introduction 8.2 Steps in Hypothesis Testing Traditional Method 8.3 z Test for a Mean 8.4 t Test for a Mean 8.5 z Test for a Proportion 8.6 Chi-Square Test for a Variance or Standard Deviation 8.7 Additional Topics Regarding Hypothesis Testing 8.8 Summary 9: Testing the Difference Between Two Means, Two Variances, and Two Proportions 9.1 Introduction 9.2 Testing the Difference Between Two Means: Large Samples 9.3 Testing the Difference Between Two Variances 9.4 Testing the Difference Between Two Means: Small Independent Samples 9.5 Testing the Difference Between Two Means: Small Dependent Samples 9.6 Testing the Difference Between Two Proportions 9.7 Summary 10: Correlation and Regression 10.1 Introduction 10.2 Correlation 10.3 Regression 10.4 Coefficient of Determination and Standard Error of the Estimate 10.5 Summary 11: Chi-Square and Analysis of Variance (ANOVA) 11.1 Introduction 11.2 Test for Goodness of Fit 11.3 Tests Using Contingency Tables 11.4 Analysis of Variance (ANOVA) 11.5 Summary Appendix A: Algebra Review Appendix B-1: Writing the Research Report Appendix B-2: Alternate Approach to the Standard Normal Distribution Appendix C: Tables Appendix D: Data Bank Appendix E: Glossary Appendix F: Bibliography Appendix G: Photo Credits Appendix H: Selected Answers