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Introduction
OpenStaxCollege
Definitions of Statistics, Probability, and Key Terms
Data, Sampling, and Variation in Data and Sampling
Frequency, Frequency Tables, and Levels of Measurement
Experimental Design and Ethics
Data Collection Experiment
Sampling Experiment
Chapter 1
Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs
Histograms, Frequency Polygons, and Time Series Graphs
Measures of the Location of the Data
Box Plots
Measures of the Center of the Data
Skewness and the Mean, Median, and Mode
Measures of the Spread of the Data
Descriptive Statistics
Terminology
Independent and Mutually Exclusive Events
Two Basic Rules of Probability
Contingency Tables
Tree and Venn Diagrams
Probability Topics
Probability Distribution Function (PDF) for a Discrete Random Variable
Mean or Expected Value and Standard Deviation
Binomial Distribution
Geometric Distribution
Hypergeometric Distribution
Poisson Distribution
Discrete Distribution (Playing Card Experiment)
Discrete Distribution (Lucky Dice Experiment)
Continuous Probability Functions
The Uniform Distribution
The Exponential Distribution
Continuous Distribution
The Standard Normal Distribution
Using the Normal Distribution
Normal Distribution (Lap Times)
Normal Distribution (Pinkie Length)
The Central Limit Theorem for Sample Means (Averages)
The Central Limit Theorem for Sums
Using the Central Limit Theorem
Central Limit Theorem (Pocket Change)
Central Limit Theorem (Cookie Recipes)
A Single Population Mean using the Normal Distribution
A Single Population Mean using the Student t Distribution
A Population Proportion
Confidence Interval (Home Costs)
Confidence Interval (Place of Birth)
Confidence Interval (Women's Heights)
Null and Alternative Hypotheses
Outcomes and the Type I and Type II Errors
Distribution Needed for Hypothesis Testing
Rare Events, the Sample, Decision and Conclusion
Additional Information and Full Hypothesis Test Examples
Hypothesis Testing of a Single Mean and Single Proportion
Two Population Means with Unknown Standard Deviations
Two Population Means with Known Standard Deviations
Comparing Two Independent Population Proportions
Matched or Paired Samples
Hypothesis Testing for Two Means and Two Proportions
Facts About the Chi-Square Distribution
Goodness-of-Fit Test
Test of Independence
Test for Homogeneity
Comparison of the Chi-Square Tests
Test of a Single Variance
Lab 1: Chi-Square Goodness-of-Fit
Lab 2: Chi-Square Test of Independence
Linear Equations
Scatter Plots
The Regression Equation
Testing the Significance of the Correlation Coefficient
Prediction
Outliers
Regression (Distance from School)
Regression (Textbook Cost)
Regression (Fuel Efficiency)
One-Way ANOVA
The F Distribution and the F-Ratio
Facts About the F Distribution
Test of Two Variances
Lab: One-Way ANOVA
Appendix
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Introductory Statistics Copyright © 2013 by OpenStaxCollege is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.