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# Statistics

## Table of Contents

• 1.1  What Is Statistics?
• 1.2  Random Samples
• 1.3  Introduction to Experimental Design
• 2.1  Frequency Distributions, Histograms, and Related Topics
• 2.2  Bar Graphs, Circle Graphs, and Time-Series Graphs
• 2.3  Stem-and-Leaf Displays
• 3.1  Measures of Central Tendency: Mode, Median, and Mean
• 3.2  Measures of Variation
• 3.3  Percentiles and Box-and-Whisker Plots
• 4.1  Scatter Diagrams and Linear Correlation
• 4.2  Linear Regression and the Coefficient of Determination
• 5.1  What Is Probability
• 5.2  Some Probability Rules – Compound Events
• 5.3  Tree Diagrams and Counting Techniques
• 6.1  Introduction to Random Variables and Probability Distributions
• 6.2  Binomial Probabilities
• 6.3  Additional Properties of the Binomial Distribution
• 7.1  Graphs of Normal Probability Distributions
• 7.2  Standard Units and Areas Under the Standard Normal Distribution
• 7.3  Areas Under Any Normal Curve
• 7.4  Sampling Distributions
• 7.5  The Central Limit Theorem
• 7.6  Normal Approximations to the Binomial Distribution
• 8.1  Estimating μ When σ Is Known
• 8.2  Estimating μ When σ Is Unknown
• 8.3  Estimating p in the Binomial Distribution
• 9.1  Introduction to Statistical Tests
• 9.2  Testing the Mean μ
• 9.3  Testing a Proportion p
• 10.1  Tests Involving Paired Differences (Dependent Samples)
• 10.2  Inferences About the Difference of Two Means μ1 – μ2
• 10.3  Inferences About the Difference of Two Proportions p1 – p2
• 11.1  Chi-Square: Tests of Independence and of Homogeneity
• 11.2  Chi-Square: Goodness of Fit
• 11.3  Testing a Single Variance or Standard Deviation
• 11.4  Inferences for Correlation and Regression

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