Question

# The comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained...

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  (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.

Student's Parents
432 448 468 516
512 432 468 552
464 656 588 528
432 592 408 408
608 560 384 408
512 432 456 480
640 624
640 512

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.

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)

c. Compute the -value for the hypothesis test.

 -value (to 3 decimals) Degrees of freedom (round your answer to previous whole number)

-value is - Select your answer -lower than .00 5between .005 and .01 between .01 and .025 between .025 and .05 between .05 and .10 between .10 and .20 greater than .20 Item 7

d. At , what is your conclusion? a)

Ho:μ12 =
 0
Ha: μ12 > 0

b)

point estimate of the difference =59.0 higher if parents are college grads.

c)

 test stat t =(x1-x2-Δo)/Se= 2.083

Degrees of freedom =25

p value : between .01 and .025

d)

reject Ho and conclude that students show a higher population mean math score on the SAT if their parents attained a higher level of education.