STAT 314: Mathematical Statistics

Explore how a university dean estimates freshmen study hours using statistical methods. Understand the importance of z-scores, confidence levels, and sample sizes in making accurate predictions. Learn how to ensure results are within a desired error margin.

Discover the intricacies of determining the cause of electronic system failures, either minor or major defects, using statistical distributions. Learn how to minimize the expected cost and make informed decisions based on soundings and loss tables

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 nuances of analyzing battery lifetime data through mean, variance, and standard deviation computations. Using class boundaries, midpoints, and frequencies, gain insights into the dispersion of battery lifespans and the average deviation from the mean.

Unpack the average US gasoline prices in December 2010 using Chebyshev’s Inequality. Discover the minimum percentage of gas stations within specific price deviations. Learn how prices ranged based on standard deviations from the mean.

Explore Anderson's 1999 study on how attention load impacts reaction times. Through hands-on analysis, understand the computation of mean, median, and mode from the provided data. Highlighting the significance of the median in capturing the central tendency amidst potential outliers.