Statistics - Full Course

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Modules

Chapter 1 - Getting Started

Lessons

• Statistics – Section 1.1 – What is Statistics?
• Statistics – Section 1.2 – Random Samples
• Statistics – Section 1.3 – Introduction to Experimental Design

Chapter 2 - Organizing Data

Lessons

• Statistics – Section 2.1 – Frequency Distributions, Histograms, and Related Topics
• Statistics – Section 2.2 – Bar Graphs, Circle Graphs, and Time-Series Graphs
• Statistics – Section 2.3 – Stem-and-Leaf Displays

Chapter 3 - Averages and Variation

Lessons

• Statistics – Section 3.1 – Measures of Central Tendency: Mode, Median, and Mean
• Statistics – Section 3.2 – Measures of Variation
• Statistics – Section 3.3 – Percentiles and Box-and-Whisker Plots

Chapter 4 - Correlation and Regression

Lessons

• Statistics – Section 4.1 – Scatter Diagrams and Linear Correlation
• Statistics – Section 4.2 – Linear Regression and the Coefficient of Determination

Chapter 5 - Elementary Probability Theory

Lessons

• Statistics – Section 5.1 – What is Probability?
• Statistics – Section 5.2 – Some Probability Rules – Compound Events
• Statistics – Section 5.3 – Tree Diagrams and Counting Techniques

Chapter 6 - The Binomial Probability Distribution and Related Topics

Lessons

• Statistics – Section 6.1 – Introduction to Random Variables and Probability Distributions
• Statistics – Section 6.2 – Binomial Probabilities
• Statistics – Section 6.3 – Additional Properties of the Binomial Distribution

Chapter 7 - Normal Curves and Sampling Distributions

Lessons

• Statistics – Section 7.1 – Graphs of Normal Probability Distributions
• Statistics – Section 7.2 – Standard Units and Areas Under the Standard Normal Distribution
• Statistics – Section 7.3 – Areas Under Any Normal Curve
• Statistics – Section 7.4 – Sampling Distributions
• Statistics – Section 7.5 – The Central Limit Theorem
• Statistics – Section 7.6 – Normal Approximation to the Binomial Distribution

Chapter 8 - Estimation

Lessons

• Statistics – Section 8.1 – Estimating “mu” When “sigma” Is Known
• Statistics – Section 8.2 – Estimating “mu” When “sigma” Is Unknown
• Statistics – Section 8.3 – Estimating the Probability of Success “p” in the Binomial Distribution

Chapter 9 - Hypothesis Testing

Lessons

• Statistics – Section 9.1 – Introduction to Statistical Tests
• Statistics – Section 9.2 – Testing the Mean “mu”
• Statistics – Section 9.3 – Testing the Probability of Success “p” in a Proportion

Chapter 10 - Inferences About Differences

Lessons

• Statistics – Section 10.1 – Tests Involving Paired Differences (Dependent Samples)
• Statistics – Section 10.2 – Inferences About the Difference of Two Means
• Statistics – Section 10.3 – Inferences About the Difference of Two Proportions

Chapter 11 - Additional Topics Using Inference

Lessons

• Statistics – Section 11.1 – Chi-Square: Tests of Independence and Homoneneity
• Statistics – Section 11.2 – Chi-Square: Goodness of Fit
• Statistics – Section 11.3 – Testing a Single Variance or Standard Deviation
• Statistics – Section 11.4 – Inferences for Correlation and Regression