STAT 309: Intro to Prob & Math STAT

Explore the intricacies of calculating probabilities using set theory concepts such as union and intersection. With step-by-step computations, understand how to find the likelihood of events A and B occurring or not occurring together. Witness the application of classic probabilistic formulas.

Uncover the likelihood of different car combinations by size and color from a dealer's sales data. Learn how to calculate probabilities, from the chances of a small car being black to the odds a non-small car isn't gray. An insightful look into understanding car preferences.

Discover how to determine the probability and mean of young adults watching TV in a week. Using provided data, we compare the sample mean with the calculated population mean to interpret expected TV viewing habits.

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.

Discover how to construct a confidence interval for understanding U.S. adult satisfaction. Using a sample from a 2010 Gallup Poll, we unveil the proportion of adults pleased with the state of affairs, backed by statistical calculations.

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.