Ute the appropriate technology to answer this question. The College Hoard provided comparisons of Scholastic Aptitude Test (SAT) scores based on the Nighest level of education atained by the test takers parents. A research hypothes was that stu whose parents had attairied a higher level of education would on average score higher on the SAT. The overal mean SAT math score was S14. SAT math scores for independert sampie of stude follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelors degree. The second sample shows the SAT math test sores for stude whose parents are high school graduates but do not have a college idegree College Grads High School Grads 469 503 442 492 s50 533 50 478 650 526 479 425 554 410 485 566 S31

MATLAB: An Introduction with Applications
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MY NOTES
The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test takers parents. A research hypothesis wa that students
whose parents had attainied a higher level of education would on average score higher on the SAT. The overal mean SAT math score was S14. SAT math scores for independent sampies 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
469
503
442
492
550
533
s00
478
650
526
479
425
554
410
486
485
566
531
528
390
588
578
524
535
481
448
608
485
(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 I their parents
attained a higher level of education. (Let , - population mean verbal score of students whose parents are college oraduates with a bachelor's degree and = population mean verbal score af
students whose parents are high school graduates but do not have a college degree.)
H M - <0
Transcribed Image Text:You may need to use the appropriate technology to answer this question. MY NOTES The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test takers parents. A research hypothesis wa that students whose parents had attainied a higher level of education would on average score higher on the SAT. The overal mean SAT math score was S14. SAT math scores for independent sampies 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 469 503 442 492 550 533 s00 478 650 526 479 425 554 410 486 485 566 531 528 390 588 578 524 535 481 448 608 485 (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 I their parents attained a higher level of education. (Let , - population mean verbal score of students whose parents are college oraduates with a bachelor's degree and = population mean verbal score af students whose parents are high school graduates but do not have a college degree.) H M - <0
(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 Ftheir parents
attained a higher level of education. (Let w, population mean verbal score of students whose parents are college graduates with a bachelor's degree and a pooulstion mean vertal score of
students whose parents are Ngh school graduates but do not have a college degree.)
Ha - 0
Ho -0
Ho - 0
(b) What is the point estimate of the difference between the means for the two populations?
(e) 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)
pvalue-
(d) At a 0.05, what is your conclusion?
Reject H There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are cotege graduates
Do not reject H There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates
OReject Ha There is insufficient evidence to condude that higher population mean verbal scores are associated with students whose parents are college graduates
Do not Reject H There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are colege 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 Ftheir parents attained a higher level of education. (Let w, population mean verbal score of students whose parents are college graduates with a bachelor's degree and a pooulstion mean vertal score of students whose parents are Ngh school graduates but do not have a college degree.) Ha - 0 Ho -0 Ho - 0 (b) What is the point estimate of the difference between the means for the two populations? (e) 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) pvalue- (d) At a 0.05, what is your conclusion? Reject H There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are cotege graduates Do not reject H There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates OReject Ha There is insufficient evidence to condude that higher population mean verbal scores are associated with students whose parents are college graduates Do not Reject H There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are colege graduates
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