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Summary
Elementary Statistics: A Step By Step Approach is for introductory statistics courses with a basic algebra prerequisite. The text follows a nontheoretical approach, explaining concepts intuitively and supporting them with abundant examples. In recent editions, Al Bluman has placed more emphasis on conceptual understanding and understanding results, which is also reflected in the online homework environment, Connect Math Hosted by ALEKS. Additionally step-by step instructions on how to utilize the TI-84 Plus graphing calculator, Excel, and Minitab, have also been updated to reflect the most recent editions of each technology.
Connect Math Hosted by ALEKS and LearnSmart for Bluman, Elementary Statistics, was developed by statistics instructors who served as digital contributors. Their experience in teaching statistics provided a significant advantage while they authored each algorithm and providing stepped out, highly detailed solutions that focus on areas where students commonly make mistakes. The result is an online homework platform that provides superior content and feedback, allowing students to effectively learn the material being taught. Several hundred new questions have been added to Connect Math Hosted by ALEKS for this edition to ensure a broader coverage of topics and alignment with the text content. www.mhhe.com/bluman
Table of Contents
1 The Nature of Probability and Statistics
1.1 Descriptive and Inferential Statistics 1.2 Variables and Types of Data 1.3 Data Collection and Sampling Techniques 1.4 Observational and Experimental Studies 1.5 Uses and Misuses of Statistics 1.6 Computers and Calculators
2 Frequency Distributions and Graphs
2.1 Organizing Data 2.2 Histograms, Frequency Polygons,and Ogives 2.3 Other Types of Graphs
3 Data Description
3.1 Measures of CentralTendency 3.2 Measures of Variation 3.3 Measures of Position 3.4 Exploratory Data Analysis
4 Probability and Counting Rules
4.1 Exploratory Data Analysis 4.2 The Addition Rules for Probability 4.3 The Multiplication Rules and ConditionalProbability 4.4 Counting Rules 4.5 Probability and Counting Rules
5 Discrete Probability Distributions
5.1 Probability Distributions 5.2 Mean, Variance, Standard Deviation,and Expectation 5.3 The Binomial Distribution 5.4 Other Types of Distributions (Optional)
6 The Normal Distribution
6.1 Normal Distributions 6.2 Applications of the NormalDistribution 6.3 The Central Limit Theorem 6.4 The Normal Approximation to the BinomialDistribution
7 Confidence Intervals and Sample Size
7.1 Confidence Intervals for the Mean When σ Is Known 7.2 Confidence Intervals for the Mean When σ Is Unknown 7.3 Confidence Intervals and Sample Size for Proportions 7.4 Confidence Intervals for Variances and Standard Deviations
8 Hypothesis Testing
8.1 Steps in Hypothesis Testing—Traditional Method 8.2 z Test for a Mean 8.3 t Test for a Mean 8.4 z Test for a Proportion 8.5 χ2 Test for a Variance or Standard Deviation 8.6 Additional Topics Regarding Hypothesis Testing
9 Testing the Difference Between Two Means, Two Variances, and Two Proportions
9.1 Testing the Difference Between Two Means: Using the z Test 9.2 Testing the Difference Between Two Means of Independent Samples: Using the t Test 9.3 Testing the Difference Between Two Means: Dependent Samples 9.4 Testing the Difference Between Proportions9.5 Testing the Difference Between Two Variances
10 Correlation and Regression
10.1 Scatter Plots and Correlation 10.2 Regression 10.3 Coefficient of Determination and Standard Error of the Estimate 10.4 Multiple Regression (Optional)
11 Other Chi-Square Tests
11.1 Test for Goodness of Fit 11.2 Tests Using Contingency Tables
12 Analysis of Variance
12.1 One-Way Analysis of Variance 12.2 The Scheffé Test and the Tukey Test 12.3 Two-Way Analysis of Variance
13 Nonparametric Statistics
13.1 Advantages and Disadvantages of Nonparametric Methods 13.2 The Sign Test 13.3 The Wilcoxon Rank Sum Test 13.4 The Wilcoxon Signed-Rank Test 13.5 The Kruskal-Wallis Test 13.6 The Spearman Rank Correlation Coefficient and the Runs Test
14 Sampling and Simulation
14.1 Common Sampling Techniques 14.2 Surveys and Questionnaire Design 14.3 Simulation Techniques and the Monte Carlo Method
Appendices
Appendix A: Tables Appendix B: Data Bank Appendix C: Glossary Appendix D: Photos Credits Appendix E: Selected Answers
Additional Topics Onlne
Algebra Review Writing the Research Report Bayes' Theorem Alternate Approach to the Standard Normal Distribution Bibliography