Introduction. A brief review of the main ideas of the previous course on probability theory. Random variables.
Random variables and distributions.
Joint distributions 1.
Joint distributions 2
Inferential statistics. Introduction, motivation, main problem types. Sampling distributions. Point estimators, their efficiency. Mean squared error.
Materials. Annotated materials. Notes. Video.
Confidence intervals. Introduction. CLT. CI for proportions.
Materials. Annotated materials. Notes. Video.
Confidence intervals. Chi-squared distribution. Student’s t-distribution.
Hypothesis testing: introduction, motivation, definitions and problem statements. Materials are below for the Seminar 10.
Hypothesis testing: two sample, known and unknown population variances.
We covered all problems in demo variant up to Hypothesis Testing in the free response section.