Normal-Normal Conjugate Model – Practice Quiz

Normal-Normal conjugate inference with known observation variance: calculate posterior precision, uncertainty and precision-weighted means. Investigate shrinkage, sequential updates, unequal measurement precision, limiting cases and model dependence. Every Normal distribution is parameterized by mean and variance, with observation variance distinguished from uncertainty about the mean. Includes original single-select and multiselect scenarios, worked reasoning and explanations of each distractor. Prerequisites: conjugate Bayesian foundations and Normal sampling distributions. Authored from the saved Statistics & Probability syllabus; intended for progressive independent practice.

Further reading: Bayesian Data Analysis, 3rd edition.