(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=

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
(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 a bachelor's degree and μ₂ = population mean
verbal score of students whose parents are high school graduates but do not have a college degree.)
Ho: M₁ M₂ #0
На: M1 - M2 0
Ho: M₁
Ha: M₁
= 0
M₂ =
M₂ #0
Ho: M₁ M₂ 20
Ha Hy - H2 < 0
но: H1-M250
На: M1 - M2 > 0
-
Ho: M₁ M₂ <0
H₂: 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 =
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 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 mean verbal score of students whose parents are high school graduates but do not have a college degree.) Ho: M₁ M₂ #0 На: M1 - M2 0 Ho: M₁ Ha: M₁ = 0 M₂ = M₂ #0 Ho: M₁ M₂ 20 Ha Hy - H2 < 0 но: H1-M250 На: M1 - M2 > 0 - Ho: M₁ M₂ <0 H₂: 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 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.
High School Grads
College Grads
501
487
550
634
538
550
572
497
533
526
394
531
594
432
608 485
442
580
479
486
528
524
492
478
425
485
390
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. High School Grads College Grads 501 487 550 634 538 550 572 497 533 526 394 531 594 432 608 485 442 580 479 486 528 524 492 478 425 485 390 535
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman