What is the difference between parametric tests and paired sample t-tests?

Sure! Parametric tests are statistical tests that assume the data being analyzed comes from a normally distributed population. Paired sample t-tests, on the other hand, are a specific type of parametric test that compare the means of two related groups. An example of a parametric test would be a t-test comparing the means of two independent groups, such as testing if there is a significant difference in test scores between boys and girls in a class. A paired sample t-test, on the other hand, would be used to compare the mean difference in scores of the same group of students before and after a tutoring program. An analogy for parametric tests could be comparing apples and oranges, while an analogy for paired sample t-tests could be comparing apples to apples, but looking at how they change over time. A verifiable fact is that parametric tests are more powerful than non-parametric tests when the assumptions are met, meaning they are better at detecting differences if they truly exist in the data.