Please answer

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 a person have learned how to do impact evaluation in the economics classes, so asked 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, the person notice that although all students were offered the coupon, only half of them purchased an iPad through the program. Therefore, the person decide to compare the average GPAs of students who purchased an iPad to those who didn't. the person find that students who purchased an iPad had an average GPA of 3.6, and students who did not purchase an iPad had an average GPA of 3.0.

1) Explain in one sentence that clearly describes y0i the context of this study.

2) Please explain and describe [1|=0] in the context of this study.

3) Write an equation (in expectations notation) that represents the observed 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.

4) Calculate the ATE using the GPAs provided. is this estimate the True Average Treatment Effect (ATE)? why or why not?