Question

Check My Work eBook The comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents were provided. 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 shaws the SAT mat 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 544 496 656 608 640 512 592 640 656 672 528 672 576 672 672 656 High School Grads 456 456 492 480 468 528 384 504 588 420 564 504 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. μι population mean verbal score parents college grads. population mean verbal score parents high school grads. 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 previous whole number)

Answer 1

Since p value < Alfa , we reject the null hypothesis.

So we can accept the claim.