(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 theirparents 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 meanverbal score of students whose parents are high school graduates but do not have a college degree.)Ho: M₁ M₂ #0На: M1 - M2 0Ho: M₁Ha: M₁= 0M₂ =M₂ #0Ho: M₁ M₂ 20Ha Hy - H2 < 0но: H1-M250На: M1 - M2 > 0-Ho: M₁ M₂ <0H₂: M₁ M₂ = 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 = 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 thatstudents 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 independentsamples 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 mathtest scores for students whose parents are high school graduates but do not have a college degree.High School GradsCollege Grads501487550634538550572497533526394531594432608 485442580479486528524492478425485390535

Given data: College Grads High School Grads 501 442 550 580 634 479 538 486 550 528…

(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 #₁ = population mean verbal score of students whose parents are college graduates with a bachelor's degree and μ₂ = population me verbal score of students whose parents are high school graduates but do not have a college degree.) O Ho: H1 - M2 # 0 На: M1 - M2 = 0 Ho: М1 - M2 = 0 Ha: H1 - M2 # 0 Ho: M₁-1₂ 20 Hai Hi H2 < 0 Ho: M₁ M₂ ≤0 на: H1 - H2>0 , но H1 - H2<0 на: М1 - м2 = 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=

(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 #₁ = population mean verbal score of students whose parents are college graduates with a bachelor's degree and μ₂ = population me verbal score of students whose parents are high school graduates but do not have a college degree.) O Ho: H1 - M2 # 0 На: M1 - M2 = 0 Ho: М1 - M2 = 0 Ha: H1 - M2 # 0 Ho: M₁-1₂ 20 Hai Hi H2 < 0 Ho: M₁ M₂ ≤0 на: H1 - H2>0 , но H1 - H2<0 на: М1 - м2 = 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=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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