18 Two Sample t test

In this video, we explore the concept of the two-sample t-test, a statistical method used to determine if the means of two independent groups are significantly different. We delve into how to formulate null and alternative hypotheses, such as comparing the average age of male and female slaves. The discussion covers the theoretical underpinnings, including the central limit theorem and variance calculations, to understand the distribution of the difference between sample means. We then demonstrate how to standardize this difference and introduce the t-statistic, which is derived from estimated population parameters and follows a t-distribution with specific degrees of freedom. Subscribe to @AxiomTutoringCourses for more educational content.