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 608 560 384 492 640 512 588 588 432 448 564 408 464 432 456 444 464 592 408 552 560 496 420 480 624 496 608 576 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 o education. /1 = population mean verbal score parents college grads. /4s = population mean verbal score parents high school grads. Ho : M1 - 12 5 He : 1 - /4 2 b. What is the point estimate of the difference between the means for the two populations? (to 1 decimal) points | higher if parents are college grads. c. Compute the p-value for the hypothesis test. t-value (to 3 decimals) Degrees of freedom (round your answer to next whole number) p value is between 0.025 and 0.05 d. At a = 0.05, what is your conclusion? We can reject Ho