STAT 190: Basic Statistics

Discover the mathematical principles behind choosing free samples in online shopping scenarios. Understand combinations, how to calculate them, and see real-world examples of selecting multiple items.

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

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.

Discover how to compute the likelihood of observations exceeding a certain value in a chi-square distribution with 4 degrees of freedom. Using the binomial distribution formula, evaluate the chances of at most 3 out of 15 observations surpassing the 7.779 mark. Results highlight the intricacies of data distributions.

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.

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.