Homework Help is Here – Start Your Trial Now!
Math
Statistics
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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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
See similar textbooks
icon
Related questions
icon
Concept explainers
Topic Video
Question
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS