#1. Impact Evaluation

In the move to online instruction due to COVID-19, Development University was concerned that its students may not have the technology they needed at home to keep up with their classes. In order to address this issue, at the start of the term, the University offered all students coupons for a 50% price discount on a new iPad. The hope was that the iPad would allow students to participate more fully in their online classes, and therefore allow them to learn more.

Development University heard that you have learned how to do impact evaluation in your economics classes, so asked you to evaluate how well the iPads worked for their students. In particular, they wanted to know if the iPads caused student grades to improve. In looking at the data, you notice that although all students were offered the coupon, only half of them purchased an iPad through the program. Therefore, you decide to compare the average GPAs of students who purchased an iPad to those who didn't. You find that students who purchased an iPad had an average GPA of 3.4, and students who did not purchase an iPad had an average GPA of 3.1.

1) Explain in words one sentence that clearly describes the context of this study. (The answer should clearly define the treatment and the outcome variable in this study, not just the abstract language of what y0i means in general.)

2) Please explain and describe [1|=0] in the context of this study. (The answer should demonstrate a clear understanding of both the treatment and the outcome variable in this study.

3) What is the equation (in expectations notation) that represents the measured estimate of the average effect of the iPads on student grades. (The estimate is the difference in grades between those who purchased an iPad and those who didn't.)