AMS 502: Statistics

Analyze the relationships between different political affiliations and age groups. Determine whether certain events are independent, mutually exclusive, or neither, based on the provided probabilities. The findings offer a nuanced understanding of voter demographics and their interdependencies.

Understand the process of determining the 94.26% confidence interval for the median weight of "80-pound" bags of water softener pellets using a standard normal table and specified formulas. Additionally, explore the steps to deduce a confidence level of 90.47%.

Discover the process of using a one-sample t-test to validate a claim about average soft drink consumption. By calculating the test statistic and analyzing the corresponding P-value, we determine the validity of the researcher's assertion.

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 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.

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.