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. 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.College GradsHigh School Grads61556773816069616566726462 74 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. What is the point estimate of the difference between the means for the two populations? Compute the p -value for the hypothesis test. At 5% level of significance what is your conclusion?

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Description: 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 educati

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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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. 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.

College Grads	High School Grads
61	55
67	73
81	60
69	61
65	66
72	64
62
74

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.
What is the point estimate of the difference between the means for the two populations?
Compute the p -value for the hypothesis test.
At 5% level of significance what is your conclusion?

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