Inferential statistics module-1,2

These handwritten notes provide a comprehensive study guide for Statistics and Information Systems Modules 1 and 2, specifically tailored for engineering students preparing for university exams. The content breaks down the four foundational building blocks of statistics—population, sample, parameter, and statistic—and contrasts simple random, systematic, stratified, and cluster sampling techniques. It features key formulas and step-by-step solutions for sampling distributions, Central Limit Theorem applications, standard error calculations, and confidence intervals for both population means and proportions. Additionally, the material covers statistical inference, point and interval estimations, and specific proofs evaluating the unbiasedness and efficiency of estimators, making it a perfect tool for quick revision and viva prep.