er 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
er 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
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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