Question

. A certain test preparation course is designed to improve students' SAT Math scores. The students who took the prep course have a mean SAT Math score of 504 with a standard deviation of 38.5, while the students who did not take the prep course have a mean SAT Math score of 492 with a standard deviation of 43.5. The SAT Math scores are taken for a sample of 78 students who took the prep course and a sample of 85 students who did not take the prep course. Conduct a hypothesis test of the claim that the SAT Math scores for students who took the prep course is higher than the SAT Math scores for students who did not take the prep course. You should conduct this test at a 0.05 significance level.

DO NOT pool the variances. The population variances should be considered the same

WITH EXPLANATION OF WORK

Answer 1