STATS 250
Introduction
1.
Lecture Notes
1.1.
Course Introduction, Start to Turning Data into Information
1.2.
Bar Graphs, Pie Charts, Histograms, Describing Distributions
1.3.
Numerical Summaries for Quantitative Data (Center, Spread/Variability), Boxplots
1.4.
Side-by-Side Boxplots, Standard Deviation, Empirical (68-95-99.7) Rule
1.5.
Sampling and Data Collection
1.6.
Introduction to Probability
1.7.
More on Probability (including independence), Introduction to Random Variables
1.8.
More on Random Variables (including Expected Value and Standard Deviation), Introduction to Binomial Distribution
1.9.
More on Binomial Distribution, Introduction to Continuous Random Variables
1.10.
Normal Distributions, Normal Approximation to the Binomial
1.11.
Sampling Distribution for a Sample Proportion
1.12.
Introduction to Confidence Intervals for a Population Proportion
1.13.
Confidence Intervals, Sample Size, and Introduction to Hypothesis Testing for a Population Proportion
1.14.
Hypothesis Testing for a Population Proportion
1.15.
Hypothesis Testing for a Population Proportion, Type 1 and 2 Errors, and Power
1.16.
Sampling Distribution and Confidence Intervals for the Difference between Two Population Proportions
1.17.
Confidence Intervals for One Population Mean
1.18.
Introduction to Hypothesis Testing for One Population Mean
1.19.
More on Hypothesis Testing for One Population Mean (Links to an external site.
1.20.
Sampling Distribution and Confidence Intervals for a Population Mean Difference
1.21.
Hypothesis Tests for a Population Mean Difference, Introduction to the Sampling Distribution for the Difference between Two Population Means
1.22.
Sampling Distribution and Confidence Intervals for the Difference between Two Population Means
1.23.
Confidence Intervals and Hypothesis Tests for the Difference between Two Population Means
1.24.
Hypothesis Tests for the Difference between Two Population Means (and Paired versus Independent situations)
1.25.
Introduction to Analysis of Variance
1.26.
Regression Analysis
1.27.
More on Regression Analysis
1.28.
Inference for Linear Regression
1.29.
Prediction Intervals and Confidence Intervals for Linear Regression
1.30.
One More Linear Regression Example
1.31.
Relationships Between Categorical Variables
1.32.
$$\chi^2$$ Test of Homogeneity
1.33.
Test of Independence
2.
Study Guides
2.1.
Exam 1 Study Guide
2.2.
Exam 2 Study Guide
2.3.
Final Exam Study Guide
3.
Exercises
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STATS 250
More on Population
Mean
Difference
$$s_p = \sqrt{\frac{(n_1-1)s_1^2 + (n_2-1)s_2^2}{n_1 + n_2 - 2}}$$