The comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents were provided. 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 (College Board website, January 8, 2012). 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. Student's Parents College Grads 576 512 432 592 448 640 544 560 544 672 576 656 480 480 560 608 High School Grads 552 576 480 492 540 552 396 528 384 468 540 540 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. µi = population mean verbal score parents college grads. µ2 = population mean verbal score parents high school grads. Họ : µ1 – µ2 - Select your answer - Ha : µ1 – µ2 - Select your answer - b. What is the point estimate of the difference between the means for the two populations? (to 1 decimal) points - Select your answer - Vif parents are college grads. c. Compute the p-value for the hypothesis test. t-value (to 3 decimals) Degrees of freedom (round your answer to previous whole number) p-value is - Select your answer - ♥ d. At >a = .05, what is your conclusion? We - Select your answer - reject Ho.
The comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents were provided. 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 (College Board website, January 8, 2012). 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. Student's Parents College Grads 576 512 432 592 448 640 544 560 544 672 576 656 480 480 560 608 High School Grads 552 576 480 492 540 552 396 528 384 468 540 540 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. µi = population mean verbal score parents college grads. µ2 = population mean verbal score parents high school grads. Họ : µ1 – µ2 - Select your answer - Ha : µ1 – µ2 - Select your answer - b. What is the point estimate of the difference between the means for the two populations? (to 1 decimal) points - Select your answer - Vif parents are college grads. c. Compute the p-value for the hypothesis test. t-value (to 3 decimals) Degrees of freedom (round your answer to previous whole number) p-value is - Select your answer - ♥ d. At >a = .05, what is your conclusion? We - Select your answer - reject Ho.
MATLAB: An Introduction with Applications
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Transcribed Image Text:The comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's
parents were provided. 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 (College Board website, January 8, 2012).
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.
Student's Parents
College Grads
512
576
432
592
448
640
544
560
544
672
656
576
480
480
560
608
High School Grads
552
576
480
492
540
552
396
528
384
468
540
540
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.
H1 = population mean verbal score parents college grads.
H2 = population mean verbal score parents high school grads.
Ho : µ1 – µ2
- Select your answer
Ha : µ1 – µ2
Select your answer -
b. What is the point estimate of the difference between the means for the two populations? (to 1 decimal)
points
Select your answer - V if parents are college grads.
c. Compute the p-value for the hypothesis test.
t-value
(to 3 decimals)
Degrees of freedom
(round your answer to previous whole number)
p-value is - Select your answer - ♥
d. At >a = .05, what is your conclusion?
We
- Select your answer - V reject Ho.
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