STAT 30100: Elementary Statistical Methods

Discover the principles of permutations with 6 distinct objects. Learn the ins and outs of factorial calculation and its application to combinatorics. Grasp the method to find the number of unique arrangements for any set of items.

Examine the mean ages between two distinct groups: slot machine players and roulette enthusiasts. Utilizing the independent sample t-test, evaluate if there's a significant age difference between the two groups. The findings offer a nuanced understanding of player demographics in gaming environments.

Unravel the concept of the "margin of error" within the context of estimating children's exposure to lead-based paint. Through clear explanations, comprehend the importance of acknowledging uncertainty in statistical findings and how it represents a range for potential true values.

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.

Explore the intricacies of evaluating cereal box weights using Z-scores and normal distribution. By examining both individual boxes and a sample mean, understand the probabilities of achieving certain weight values. Gain insights into how statistical tools help interpret real-world product claims.