STAT 7441: Basic Statistics

Explore the mathematical intricacies behind calculating the waiting time for a motorist at traffic lights. Learn about normal random variables, conditional probabilities, and the challenges in determining specific waiting durations.

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 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.

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 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.

Explore a statistical approach to analyze the claim about average tornado lengths. Understand the nuances of hypothesis testing, from setting null and alternative hypotheses to interpreting P-values. Witness a comprehensive breakdown of the evidence from a sample of 500 tornadoes.