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 =
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 =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 1 | Sample 2 |
469 | 442 |
518 | 580 |
634 | 479 |
570 | 486 |
550 | 528 |
588 | 524 |
481 | 492 |
608 | 478 |
503 | 425 |
533 | 485 |
542 | 390 |
410 | 535 |
531 | |
562 | |
464 | |
453 |
Both the samples are independent.
The sample size for sample 1 is .
The sample size for sample 2 is .
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