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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 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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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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 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
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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