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. College Grads 469 503 518 533 634 542 570 410 550 531 588 562 481 464 608 453  High School Grads 442 492 580 478 479 425 486 485 528 390 524 535     1. Find the value of the test statistic. (Round your answer to three decimal places.)   2. Compute the p-value for the hypothesis test. (Round your answer to four decimal places.) p-value =

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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.
College Grads
469 503
518 533
634 542
570 410
550 531
588 562
481 464
608 453
 
High School Grads
442 492
580 478
479 425
486 485
528 390
524 535
 
 
1. Find the value of the test statistic. (Round your answer to three decimal places.)
 
2. Compute the p-value for the hypothesis test. (Round your answer to four decimal places.)
p-value = 
Expert Solution
Step 1: Write the given information.

Define:

Sample 1: The SAT math test scores for students whose parents are college graduates with a bachelor's degree.

Sample 2: The SAT math test scores for students whose parents are high school graduates but do not have a college degree.

The data is,

Sample 1Sample 2
469442
518580
634479
570486
550528
588524
481492
608478
503425
533485
542390
410535
531
562
464
453

Both the samples are independent.

The sample size for sample 1 is n subscript 1 equals 16.

The sample size for sample 2 is n subscript 2 equals 12.

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