A complete OpenStax statistics course covering sampling and data, descriptive statistics, probability, distributions, hypothesis testing, and regression, paired with Excel labs and worked OpenStax textbook problems
An overview of statistics and probability, the data and sampling concepts behind every later chapter, and the design principles and ethics that govern statistical experiments, paired with the foundational Excel skills students will use across all subsequent labs
Visualizing data with stem-and-leaf graphs, line graphs, bar graphs, histograms, frequency polygons, time series graphs, and box plots, plus measures of location (quartiles, percentiles), center (mean, median, mode), spread (range, variance, standard deviation), and how skewness shapes their relationships
Foundational probability: terminology, two-event combinations (independent, mutually exclusive, complementary), conditional probability, and tools like contingency tables, tree diagrams, and Venn diagrams
Discrete probability distribution functions, expected value, mean and standard deviation, and the binomial distribution
Exam 1 Review packet, Excel review spreadsheet, and four chapter-review videos covering Chapters 1 through 4
Continuous random variables and their distributions, focusing on the uniform distribution as the canonical introduction
The standard normal distribution, transforming to and from z-scores, and using the normal distribution to approximate the binomial
The Central Limit Theorem and its applications to sample means, sample sums, and proportions, supported by a hands-on simulation experiment
Exam 2 Review packet, Excel review spreadsheet, and three chapter-review videos covering Chapters 5 through 7
Constructing confidence intervals for population means with known and unknown standard deviation, and for population proportions
Hypothesis-testing logic, errors, and applying the framework to one-sample tests on means and proportions
Hypothesis tests comparing means and proportions across two independent samples and matched-pair samples
Linear regression, correlation, the regression line, residuals, outliers, and prediction
Exam 3 Review packets and Excel review spreadsheets, split into Part 1 (Chapters 8-9) and Part 2 (Chapters 10-12), plus chapter-review videos