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The Tutor and Student focused on inferential statistics, specifically differentiating between Z-tests and T-tests for calculating confidence intervals. They covered the conceptual differences between one-tailed and two-tailed distributions and practiced applying both Z-test and T-test formulas with real data, including using statistical tables for critical values. The next steps involve continuing with the next module in a future session.

The session began with the Student and Tutor discussing the Student's midterm results and planning for the upcoming final exam, including the intention to cover previously missed modules and schedule more frequent classes. The main academic content focused on introducing and calculating confidence intervals in Statistics, covering definitions, components, confidence levels, alpha values, and the Z-distribution formula. The Student was assigned to practice a similar problem, and future, longer sessions were planned.

The tutor and student worked through a practice midterm exam covering statistical concepts. They reviewed data visualization, measures of central tendency and variability, inferential statistics, normal distribution, z-scores, and percentiles, creating a comprehensive cheat sheet with key formulas and definitions. The student was encouraged to schedule additional sessions if needed before their upcoming exam.

The Student and Tutor engaged in an introductory SAT Math session covering fundamental algebraic concepts. They reviewed linear and quadratic equations, functions, exponents, and polynomial division, with the Student practicing problem-solving techniques for each topic. The session concluded with a discussion about a comprehensive study plan for SAT and pre-calculus topics, recommending an early start to prepare for the upcoming exam.

The Student and Tutor reviewed core concepts in probability and statistics, including the Probability Density Function (PDF) and Cumulative Distribution Function (CDF) for uniform distributions. They also explored the definitions and calculations of expected value (mean) and population variance, applying shortcut formulas for uniform distribution problems. The Student plans to schedule future lessons and study for an upcoming exam, sending relevant module materials to the Tutor for exam preparation.

The class covered fundamental probability concepts including the multiplication rule for independent events, complementary events, and the definition and application of random variables. The tutor and student also discussed the distinction between discrete and continuous random variables and introduced the concepts of probability mass functions and probability density functions.