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 High School Grads 501 503 442 492 534 533 580 478 650 526 479 425 538 426 486 485 550 499 528 390 588 594 524 535 513 432 608 453 (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. (Let μ₁ = population mean verbal score of students whose parents are college graduates with a bachelor's degree and μ2 population mean verbal score of students whose parents are high school graduates but do not have a college degree.) O Ho: H1-12 ≤0 Ha: 11-20 Ho: H1-20 Ha H₁-μ₂ = 0 Ho H1-H2=0 Ha: 41-420
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 High School Grads 501 503 442 492 534 533 580 478 650 526 479 425 538 426 486 485 550 499 528 390 588 594 524 535 513 432 608 453 (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. (Let μ₁ = population mean verbal score of students whose parents are college graduates with a bachelor's degree and μ2 population mean verbal score of students whose parents are high school graduates but do not have a college degree.) O Ho: H1-12 ≤0 Ha: 11-20 Ho: H1-20 Ha H₁-μ₂ = 0 Ho H1-H2=0 Ha: 41-420
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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Transcribed Image Text: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
High School Grads
501 503
442
492
534
533
580
478
650
526
479
425
538
426
486
485
550
499
528
390
588
594
524
535
513
432
608
453
(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. (Let μ₁ = population mean verbal score of
students whose parents are college graduates with a bachelor's degree and μ2 population mean verbal score of students whose parents
are high school graduates but do not have a college degree.)
O
Ho: H1-12 ≤0
Ha: 11-20
Ho: H1-20
Ha H₁-μ₂ = 0
Ho H1-H2=0
Ha: 41-420
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