Topics

Descriptive Statistics

• Variables
• Sample Space
• Mean, Median and Mode
• Weighted Averages
• Expected Values
• Variance and Standard Deviation
• Other Measures of Dispersion
• Class Intervals and Boundaries

Data Presentation

• Box and Whisker Plots
• Scatter Graphs
• Bar Charts
• Pie Charts
• Frequency Distribution Tables
• Histograms

Regression and Correlation

• Types of Correlation
• Strength of Correlation
• Residuals
• Simple Linear Regression
• Multiple Regression
• Coefficient of Determination, R-squared
• Assumptions of Regression Analysis

Distribution functions

• Probability Mass Function
• Probability Density Function
• Cumulative Distribution Function

Distributions

• Bernoulli Distribution
• Binomial Distribution
• Poisson Distribution
• Normal Distribution
• Student $t$
• Summary of Standard Distributions
• Central Limit Theorem
• Degrees of Freedom
• Converting from the Normal Distribution to the Standard Normal Distribution

Hypothesis testing

• Null and Alternative Hypotheses
• One-tailed and Two-tailed Tests
• Type I and Type II Errors
• $p$-value
• Test Statistic
• Critical Region and Confidence Interval
• Carrying out a Hypothesis Test
• Selecting a Hypothesis Test

• Hypothesis Testing with the Binomial Distribution
• Hypothesis Testing with the Poisson Distribution
• Hypothesis Testing with the Normal Distribution
• Hypothesis Testing with the Student $t$-Distribution

Sampling

• About Sampling
• Types of Sampling

Notation

• Sigma notation
• Probability notation
• Binomial coefficient