Statistics II (Statistical Inference and Modeling)

Statistics II focuses on the core principles and methods of statistical inference and basic modeling. You will explore sampling distributions, estimation theory, and hypothesis testing — the foundation of decision-making under uncertainty. The course also covers widely used parametric tests and introduces correlation and regression methods for modeling relationships between variables. By the end, you'll be prepared to analyze data and draw valid conclusions with confidence.

What you’ll learn

  • Explain and apply sampling distributions for the sample mean and sample variance.
  • Evaluate properties of estimators and construct confidence intervals for means, proportions, and variance.
  • Formulate null and alternative hypotheses, and analyze Type I/II errors, significance levels, and p-values.
  • Perform common parametric tests including z-tests, t-tests, chi-square tests, and F-tests.
  • Interpret correlation coefficients and apply simple and multiple regression for modeling and prediction.