# Elementary Statistics: A Step By Step Approach

, by Bluman, Allan**Note:**Supplemental materials are not guaranteed with Rental or Used book purchases.

- ISBN: 9781259755330 | 1259755339
- Cover: Hardcover
- Copyright: 2/1/2017

### 1 The Nature of Probability and Statistics

1.1 Descriptive and Inferential Statistics1.2 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 Data2.2 Histograms, Frequency Polygons,and Ogives

2.3 Other Types of Graphs

### 3 Data Description

3.1 Measures of CentralTendency3.2 Measures of Variation

3.3 Measures of Position

3.4 Exploratory Data Analysis

### 4 Probability and Counting Rules

4.1 Exploratory Data Analysis4.2 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 Distributions5.2 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 Distributions6.2 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 s Is Known7.2 Confidence Intervals for the Mean When s 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 Method8.2 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 Test9.2 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 Correlation10.2 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 Fit11.2 Tests Using Contingency Tables

### 12 Analysis of Variance

12.1 One-Way Analysis of Variance12.2 The Scheffe Test and the Tukey Test

12.3 Two-Way Analysis of Variance

### 13 Nonparametric Statistics

13.1 Advantages and Disadvantages of Nonparametric Methods13.2 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 Techniques14.2 Surveys and Questionnaire Design

14.3 Simulation Techniques and the Monte Carlo Method

### Appendices

Appendix A: TablesAppendix B: Data Bank

Appendix C: Glossary

Appendix D: Photos Credits

Appendix E: Selected Answers

### Additional Topics Onlne

Algebra ReviewWriting the Research Report

Bayes' Theorem

Alternate Approach to the Standard Normal Distribution

Bibliography

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