The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514. SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree. Student's Parents College Grads High School Grads 624 560 552 408 528 544 396 564 640 480 468 432 512 544 576 480 624 448 564 576 432 480 420 516 592 672 480 576 a. Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a higher level of education. 4 population mean verbal score parents college grads. Pa population mean verbal score parents high school grads. Ha-Select your answer- H. --Select your answer- b. What is the point estimate of the difference between the means for the two populations? (to 1 decimal) points Select your answer if parents are college grads. c. Compute the p-value for the hypothesis test. t-value (to 3 decimals) (round your answer to next whole number)) Degrees of freedom p-value is Select your answer- d. At a 0.05. what is your conclusion?