Question

The comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents are 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. SAT math scores for independent samples of students follow.

Two samples are contained in the table below. 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. Use the Excel table below to answer the following questions.

College	High School
640	540
528	516
672	432
496	384
592	504
528	540
592	528
496	576
624	528
608	396
640	432
640	480
640
624
672
464

A. What is the point estimate of the difference between the means for the two populations?

  _______ points higher if parents are college grads.

B. Compute the t-value, degrees of freedom, and p-value for the hypothesis test.

t-value	(to 4 decimals)
Degrees of freedom
p-value	(to 4 decimals)

Answer 1

The statistical software output for this problem is:

Hence,

A) Point estimate = 103

B) t - value = 4.1406

Degrees of freedom = 26

p - value = 0.0002