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 485 487 518 517 650 542 570 426 566 499 588 562 497 448 592 453 High School Grads 442 492 580 478 479 425 486 485 528 390 524 535 (b) What is the point estimate of the difference between the means for the two populations? (c) Find the value of the test statistic. (Round your answer to three decimal places.) Compute the p-value for the hypothesis test. (Round your answer to four decimal places.) p-value = (d) At ? = 0.05, what is your conclusion?
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 485 487 518 517 650 542 570 426 566 499 588 562 497 448 592 453 High School Grads 442 492 580 478 479 425 486 485 528 390 524 535 (b) What is the point estimate of the difference between the means for the two populations? (c) Find the value of the test statistic. (Round your answer to three decimal places.) Compute the p-value for the hypothesis test. (Round your answer to four decimal places.) p-value = (d) At ? = 0.05, what is your conclusion?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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
| 485 | 487 |
| 518 | 517 |
| 650 | 542 |
| 570 | 426 |
| 566 | 499 |
| 588 | 562 |
| 497 | 448 |
| 592 | 453 |
High School Grads
| 442 | 492 |
| 580 | 478 |
| 479 | 425 |
| 486 | 485 |
| 528 | 390 |
| 524 | 535 |
(b)
What is the point estimate of the difference between the means for the two populations?
(c)
Find the value of the test statistic. (Round your answer to three decimal places.)
Compute the p-value for the hypothesis test. (Round your answer to four decimal places.)
p-value =
(d) At ? = 0.05, what is your conclusion?
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