A STAT 200 instructor wants to know if students tend to score differently on the lesson 4 and 5 quizzes.

1. A STAT 200 instructor wants to know if students tend to score differently on the lesson 4 and 5 quizzes. Data were collected from a representative sample of 60 students during the Summer 2018 semester. Data were paired by student. The mean difference, computed as Lesson 4 Quiz - Lesson 5 Quiz, was 0.3833 points with a standard deviation of 1.9891 points. [60 points]

A. Explain why it is appropriate to use the t distribution to approximate the sampling distribution in this scenario.