ILRST 5080: Probability Models and Inference

Discover how to calculate the 95% confidence interval for a population proportion using sample data. Through a practical example about texting habits among American teens, learn the implications of this statistical tool and how to assess plausibility.

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.

Compare the mean returns and volatilities of two stocks using t-test and F-test methods. Through the application of hypothesis testing and P-value calculations, we determine which stock provides higher returns and which is riskier.

Explore the actual longevity of legendary cowboys using a detailed sociological study. With data visualization and historical references, challenge popular stereotypes and understand the reality of cowboy lives in the late 19th century.

Explore the steps to conduct a two-sample t-test using a control and supplemented group. Through hypothesis testing, standard deviation, and P-value interpretation, we analyze the means of both groups to determine statistical differences.

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.