Elementary Statistics: A Step-by-Step Approach with Formula Card

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 Central Tendency
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 Conditional Probability
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 Normal Distribution
6.3 The Central Limit Theorem
6.4 The Normal Approximation to the Binomial Distribution

7 Confidence Intervals and Sample Size

7.1 Confidence Intervals for the Mean When ? Is Known
7.2 Confidence Intervals for the Mean When ? 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 ?2 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 Proportions 9.5 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 Scheffe 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

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