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(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 bachelor's degree and ₂ = population mean verbal score students whose parents are high school graduates but do not have a college degree.) Hỏi thì khi t Ha: H1-H2=0 o Hoi thi kha<0 Ha: H1 -H2=0 o Hoi thi khi 20 Hồ Kỳ H250 Ho: H₁-H₂ SO Hội thi thy > 0 0 Ho: 1-2=0 Hai khi kha 70 (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 a = 0.05, what is your conclusion? O Reject Ho. There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates. O Reject Ho. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates. O Do not Reject Ho. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates. O Do not reject Ho. There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.

(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 bachelor's degree and ₂ = population mean verbal score students whose parents are high school graduates but do not have a college degree.) Hỏi thì khi t Ha: H1-H2=0 o Hoi thi kha<0 Ha: H1 -H2=0 o Hoi thi khi 20 Hồ Kỳ H250 Ho: H₁-H₂ SO Hội thi thy > 0 0 Ho: 1-2=0 Hai khi kha 70 (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 a = 0.05, what is your conclusion? O Reject Ho. There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates. O Reject Ho. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates. O Do not Reject Ho. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates. O Do not reject Ho. There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.

MATLAB: An Introduction with Applications
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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(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 M2 population mean verbal score of 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 students whose parents are high school graduates but do not have a college degree.) Ho: М1-M2+0 Ha: M₁ M2 = 0 Ho: M₁ M₂ < 0 На: М1-М2= 0 Hoi thi - ky 20 На: M1-M2<0 O Ho: M₁-M₂ ≤0 Hai thì k2>0 Но: М1-М2=0 Ha: H1-H2#0 (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 a = = 0.05, what is your conclusion? Reject Ho. There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates. Reject Ho. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates. Do not Reject Ho. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates. Do not reject Ho. There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.
Transcribed Image Text:(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 M2 population mean verbal score of 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 students whose parents are high school graduates but do not have a college degree.) Ho: М1-M2+0 Ha: M₁ M2 = 0 Ho: M₁ M₂ < 0 На: М1-М2= 0 Hoi thi - ky 20 На: M1-M2<0 O Ho: M₁-M₂ ≤0 Hai thì k2>0 Но: М1-М2=0 Ha: H1-H2#0 (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 a = = 0.05, what is your conclusion? Reject Ho. There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates. Reject Ho. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates. Do not Reject Ho. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates. Do not reject Ho. There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.
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. Open an excel worksheet. Copy data and paste to excel. Use the Data Analysis Toolpak to perform a two sample t procedure. College Grads 501 503 518 517 650 526 538 394 550 531 556 594 497 432 608 485 High School Grads 442 492 580 478 479 425 486 485 528 390 524 535
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. Open an excel worksheet. Copy data and paste to excel. Use the Data Analysis Toolpak to perform a two sample t procedure. College Grads 501 503 518 517 650 526 538 394 550 531 556 594 497 432 608 485 High School Grads 442 492 580 478 479 425 486 485 528 390 524 535
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