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 (College Board website, January 8, 2012). 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.

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.
b. What is the point estimate of the difference between the means for the two populations?
c. Compute the p-value for the hypothesis test.
d. At α = .05, what is yourconclusion?

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Student's Parents College Grads 485 487 534 533 650 526 554 410 550 515 572 578 497 448 592 469 High School Grads 442 492 580 478 479 425 486 485 528 390 524 535