STAT 412: Mathematical Statistics I

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 dynamics of Poisson distribution using both theoretical understanding and a practical application related to discovering uranium deposits. With the help of Bayes' formula and parameter adjustments, interpret various probabilities and outcomes for event occurrences.

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 fascinating world of permutations to determine the number of possible arrangements for a talent show. Learn how constraints change the number of valid sequences and delve into combinatorial techniques.

Learn how to determine the mean and modal class for bonuses in millions. Understand midpoint calculations and how frequencies impact results. Gain insights into bonus distributions in the financial realm.

Review a Pew Research Center study on Americans' beliefs about marriage. Through statistical analysis, understand the sampling distribution, standard deviation, and the probabilities surrounding various beliefs. The insights detail public sentiments and the significance of sample outcomes.