STAT 310: Math Stats II

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.

Unpack the potential biases in a survey about movie-watching habits based on its design and constraints. Learn how limiting to residential phones and specific time frames can affect results. Recommendations are made to ensure a broader, more accurate perspective.

Discover the method to analyze bacteria colonies in Lake Macatawa's east basin. Using 30 samples, we compute a 90% confidence interval for the mean colony count. Learn the steps of statistical analysis in environmental studies.

Discover the art of calculating probabilities in football. Using three players' success rates, we determine the odds of different goal outcomes. Understand independent and mutually exclusive events in a real-world scenario.

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.

Explore the calcium concentration in Chautauqua's rainwater from 2010, comparing it to 1990 levels. Using statistical tests, examine normal distribution and determine significant changes. The results provide insights into environmental shifts over two decades.