Elementary Statistics: A Step by Step Approach

ELEMENTARY STATISTICS: A STEP BY STEP APPROACH is for general beginning statistics courses with a basic algebra prerequisite. The book is non-theoretical, explaining concepts intuitively and teaching problem solving through worked examples and step-by-step instructions. This edition places more emphasis on conceptual understanding and understanding results. This edition also features increased emphasis on Excel, MINITAB, and the TI-83 Plus and TI 84-Plus graphing calculators, computing technologies commonly used in such courses.

Table of Contents:
1The 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 2Frequency 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 Summary3Data 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 Summary4Probability 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 Summary5Discrete Probability Distributions 5-1 Introduction 5-2 Probability Distributions 5-3 Mean, Variance, Standard Deviation, and Expectation 5-4 The Binomial Distribution 5-5 Other Types of Distributions (Optional) 5-6 Summary6The 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 (s Known or n30) and Sample Size 7-3 Confidence Intervals for the Mean (s Unknown or n<30) 7-4 Confidence Intervals and Sample Size for Proportions 7-5 Confidence Intervals for Variances and Standard Deviations 7-6 Summary 8Hypothesis 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 Summary9Testing 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 Proportions 9-7 Summary 10Correlation and Regression 10-1 Introduction 10-2 Scatter Plots 10-3 Correlation 10-4 Regression 10-5 Coefficient of Determination and Standard Error of the Estimate 10-6 Multiple Regression (Optional) 10-7 Summary 11Other Chi-Square Tests 11-1 Introduction 11-2 Test for Goodness of Fit 11-3 Tests Using Contingency Tables 11-4 Summary12 Analysis of Variance 12-1 Introduction 12-2 One-Way Analysis of Variance 12-3 The Scheffé Test and the Tukey Test 12-4 Two-Way Analysis of Variance 12-5 Summary 13Nonparametric Statistics 13-1 Introduction 13-2 Advantages and Disadvantages of Nonparametric Methods 13-3 The Sign Test 13-4 The Wilcoxon Rank Sum Test 13-5 The Wilcoxon Signed-Rank Test 13-6 The Kruskal-Wallis Test 13-7 The Spearman Rank Correlation Coefficient and the Runs Test 13-8 Summary 14Sampling and Simulation 14-1 Introduction 14-2 Common Sampling Techniques 14-3 Surveys and Questionnaire Design 14-4 Simulation Techniques 14-5 The Monte Carlo Method 14-6 Summary Appendix A: Algebra Review Appendix B-1: Writing the Research Report Appendix B-2: Bayes's Theorem Appendix B-3: Alternate Method for 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

About the Author :
Allan G. Bluman is a professor emeritus at the Community College of Allegheny County, South Campus, near Pittsburgh. He has taught mathematics and statistics for over 35 years. He received an Apple for the Teacher award in recognition of his bringing excellence to the learning environment at South Campus. He has also taught statistics for Penn State University at the Greater Allegheny (McKeesport) Campus and at the Monroeville Center. He received his master's and doctor's degrees from the University of Pittsburgh. In addition to Elementary Statistics: A Step by Step Approach (Eighth Edition ï¿2012) and Elementary Statistics: A Brief Version (Fifth Edition ï¿2010), Al is a co-author on a liberal arts mathematics text published by McGraw-Hill, Math in Our World (2nd Edition ï¿2011). Al also the author of for mathematics books in the McGraw-Hill DeMystified Series. They are Pre-Algebra, Math Word Problems, Business Math, and Probability. Al Bluman is married and has two sons and a granddaughter.