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 c 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 fo students whose parents are high school graduates but do not have a college degree. Student's Parents College Grads High School Grads 512 592 516 480 448 656 528 564 496 560 576 504 624 592 576 540 672 464 444 576 512 448 396 468 576 560 480 560 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. Ho : 41 - 42 - Select your answer - Jo Ha : H1 - 42- Select your answer - v 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.
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 c 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 fo students whose parents are high school graduates but do not have a college degree. Student's Parents College Grads High School Grads 512 592 516 480 448 656 528 564 496 560 576 504 624 592 576 540 672 464 444 576 512 448 396 468 576 560 480 560 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. Ho : 41 - 42 - Select your answer - Jo Ha : H1 - 42- Select your answer - v 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.
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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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.
Student's Parents
College Grads
High School Grads
512
592
516
480
448
656
528
564
496
560
576
504
624
592
576
540
672
464
444
576
512
448
396
468
576
560
480
560
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.
li = population mean verbal score parents college grads.
µ2 = population mean verbal score parents high school grads.
Ho : 41 - 42
- Select your answer - ♥
На : И1 — р2
- 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.
Transcribed Image Text:624
592
576
540
672
464
444
576
512
448
396
468
576
560
480
560
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 paren
attained a higher level of education.
µ1 = population mean verbal score parents college grads.
M2 = population mean verbal score parents high school grads.
Ho : P1
- µ2
Select your answer -
На :
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 next whole number)
p-value is
- Select your answer -
d. At a = 0.05, what is your conclusion?
We
- Select your answer - v reject Họ.
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