1 Do SAT coaching classes work? Do they help students to improve their test scores? Four students were selected randomly from all of the students that completed an SAT coaching class. For each student, we recorded their first SAT score (before the class) and their second SAT score (after the coaching class) Student 2 3 4 First SAT score 920 830 960 910 Second SAT score 1010 000 1000 980 Let X be the First SAT score and Y be the Second SAT score. Let D=Y-X You can assume (D1, D2, D3, D4) is a SRS from Normal population. Hint. D1- Normal ud, odj Test the hypotheses given below. HO: d = 0 vs. Houd > 0 Find the p-value of the test Select one a Between 10% and 15% b. Less than 196 c Bigger than 15% d Between 1% and 5% e Between 5% and 1096