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This lecture introduces the concept of t tests, starting with a general methodology for hypothesis testing and the importance of the null hypothesis. It covers the calculation of probabilities, the significance level, and tests that do not make the normality assumption. The lecture also explains the logic of statistical inference, the basics of t tests, and the t distribution. Additionally, it includes information on P-values, Z-tests, and how to quickly look up values using standardized t-tables. The instructor provides insights on how to conduct different types of t tests, such as the two-sample t-test and the paired t-test, along with practical examples and online resources for calculating p values.