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. College Grads High School Grads 469 503 442 492 518 549 580 478 634 526 479 425 538 426 486 485 534 515 528 390 588 578 524 535 481 432 608 485 (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. (Let u, = population mean math score of students whose parents are college graduates with a bachelor's degree and #2 = population mean math score of students whose parents are high school graduates but do not have a college degree.) O Ho: H1 - H2 20 Ha : H 1 - H2