STAT 3201: Intro to Probability for Data Analytics

Compare the voltages of Brand X and Brand Y batteries using statistical analysis. Learn how to determine a 95% confidence interval for their mean differences. Understand the process from data collection to interpretation of results.

Explore the claim that average daily water consumption is 123 gallons. Using statistical testing, we evaluate a new sample against the Old Farmer’s Almanac claim. Learn how to interpret p-values and t-scores in hypothesis testing.

Explore the salary distribution of U.S. teachers using statistical analysis. Understand the probabilities of different salary brackets and evaluate a potential job offer in the context of nationwide data.

Uncover the relationship between confidence levels and interval widths. Grasp how the range of confidence intervals broadens with increasing confidence. Understand the trade-offs in statistical certainty and estimation.

Explore the impact of heat treatment duration on thread breaking strength. Using statistical analysis, we assess the difference in mean strengths between batches. Confidence intervals help quantify this difference with 99% certainty.

Explore the concept of assortative mating through an eye-color study of 204 Scandinavian couples. Discover how probabilities highlight nonrandom mating patterns. Conclude if eye colors of partners are independent or reveal assortative tendencies.