Taught by Dr. Matthew DeMarinis

*Year 1*

Univariate Data

1.1 Types of data

1.2 Mean and Median

1.3 Standard Deviation and Variance

1.4 Range, IQR and Finding Outliers

1.5 Graphs and Describing Distributions**Probability**

2.1 Counting Techniques, Combinations and Permutations

2.2 Sets and Venn Diagrams

2.3 Basic Probability Models

2.4 General Probability Rules**Discrete Distributions**

3.1 Random Variables

3.2 Binomial Distributions

3.3 Geometric Distributions

Continuous Distributions

4.1 Density Curves

4.2 The Normal Distribution

4.3 Standard Normal Calculations

4.4 Sampling Distribution of x and pˆ**Bivariate Data**

5.1 Scatter Plots

5.2 Correlation

5.3 The Least Squares Regression Line

5.4 Residuals

5.5 Non-Linear Models

5.6 Relations in Categorical Data**Samples and Experiments**

6.1 Sampling

6.2 Designing Experiments

6.3 Simulating Experiments*Year 2***Estimation**

7.1 Margins of Error and Estimates

7.2 Confidence Interval for a Proportion

7.3 Confidence Interval for the Difference of Two Proportions

7.4 Confidence Interval for a Mean

7.5 Confidence Interval for the Difference of Two Means**Tests of Significance**

8.1 Inference for the Mean of a Population

8.2 Sample Proportions

8.3 Inference for a Population Proportion

8.4 Comparing Two Means

8.5 Comparing Two Proportions

8.6 Goodness of Fit Test

8.7 Two-way Tables**Inference for Regression**

9.1 Confidence Intervals

9.2 Test for Slope of Regression Lines