Do SAT coaching classes work? Do the}.' help students to improve their test scores?I Four Students. were selected randomlyr from all of the students that completed an SAT coaching class. For each student, we recorded their rst SAT score {before the class]I and their second SAT score {after the coaching class}. Student 1 2 S 4 First SAT score SOD BOD 960 5'10 Second SAT score ll 830 1000 930 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: [Jr Normal[p_d, od]. Test the hypotheses given below. HD: pd = Dvs. H0: ud 5* ll Find the p-value of the test. C} Between 5% and 1%. C} Bigger than 113%. {3 Between 1% and 3%. C} Between 3% and 5%. C} Less than 1%