STAT 409: Statistical Methods in Research

Uncover the mathematical methods used to determine various probabilities when selecting committees. Utilize combination formulas and probabilities to evaluate different teacher-parent combinations.

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.

Discover the intricacies of determining the cause of electronic system failures, either minor or major defects, using statistical distributions. Learn how to minimize the expected cost and make informed decisions based on soundings and loss tables

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 application of proportion z-tests in analyzing exit polling data. Understand how to determine the likelihood of sample results given a population proportion. Recognize the importance of considering non-sampling errors in interpreting exit poll outcomes.

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.