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Probability and Statistics Course Syllabus Overview

Study Guide - Learn with Videos

Curated lessons matched to your uploaded material – learn every topic step by step.

Intro to Stats

Levels of Measurement

Intro to Collecting Data

Sampling Methods

Visualizing Qualitative vs. Quantitative Data

Frequency Distributions

Histograms

Bar Graphs and Pareto Charts

Pie Charts

Frequency Polygons

Dot Plots

Stemplots (Stem-and-Leaf Plots)

Time-Series Graph

Mean

Median

Mode

Interpreting Standard Deviation

Percentiles & Quartiles

Boxplots

Basic Concepts of Probability

Complements

Addition Rule

Multiplication Rule: Independent Events

Multiplication Rule: Dependent Events

Bayes' Theorem

Fundamental Counting Principle

Counting

Discrete Random Variables

Binomial Distribution

Poisson Distribution

Standard Normal Distribution

Uniform Distribution

Non-Standard Normal Distribution

Sampling Distribution of the Sample Mean and Central Limit Theorem

Standard Deviation

Introduction to Confidence Intervals

Confidence Intervals for Population Mean

Sampling Distribution of Sample Proportion

Confidence Intervals for Population Proportion

Determining the Minimum Sample Size Required

Steps in Hypothesis Testing

Performing Hypothesis Tests: Means

Performing Hypothesis Tests: Proportions

Two Proportions

Two Means - Unknown, Unequal Variance

Two Means - Unknown, Equal Variance

Two Means - Known Variance

Two Means - Matched Pairs (Dependent Samples)

Scatterplots & Intro to Correlation

Correlation Coefficient

Linear Regression & Least Squares Method

Residuals

Coefficient of Determination

Inferences for Slope

Prediction Intervals

Goodness of Fit Test

Contingency Tables

Independence Tests

Homogeneity Tests

Introduction to ANOVA

Multiple Comparisons: Tukey Test

Multiple Comparisons: Tukey-Kramer Test

Multiple Comparisons: Bonferoni Test

Two-Way ANOVA