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.
501 | 471 |
518 | 549 |
650 | 542 |
554 | 426 |
550 | 499 |
572 | 578 |
481 | 432 |
608 | 485 |
442 | 492 |
580 | 478 |
479 | 425 |
486 | 485 |
528 | 390 |
524 | 535 |
(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.)
H0: μ1 − μ2 < 0
Ha: μ1 − μ2 = 0
H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
H0: μ1 − μ2 ≥ 0
Ha: μ1 − μ2 < 0
H0: μ1 − μ2 ≤ 0
Ha: μ1 − μ2 > 0
H0: μ1 − μ2 ≠ 0
Ha: μ1 − μ2 = 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 =
(d)
At
α = 0.05,
what is your conclusion?
Do not Reject H0. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.Do not reject H0. There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates. Reject H0. There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.Reject H0. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.
Reject H0. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.
The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level...
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...
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...
Check My Work eBook 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 shaws the SAT mat...
| The comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test takers 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 SA The n erall mean SAT math scare was 514 co ge Roard website anuary 8, 2012 SAT math scon s nr independent sam es of students folaw. The finst samp e shows he...
The comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents are 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. SAT math scores for independent samples of students follow. Two samples are contained in the Excel Online file below. The first sample shows the SAT math...
You may need to use the appropriate appendix table or technology to answer this question. A magazine uses a survey of readers to obtain customer satisfaction ratings for the nation's largest retailers. Each survey respondent is asked to rate a specified retailer in terms of six factors: quality of products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score summarizes the rating for each respondent with 100 meaning the respondent is completely satisfied in terms of all...
Do students tend to improve their Math SAT scores the second time they take the test? We take a random sample of 100 hundred students who took the test twice. The mean score and the standard deviation of these 100 students on the first try are 500 and 90 respectively; the mean score and the standard deviation of these 100 students on the second try are 530 and 92 respectively. We also examine the change in Math SAT score (second...
Standardized test scores are often used as part of an application to college. Test scores in math and verbal we between 200 and 800 but have no units Complete parts a through below a) Verbal and math test scores of a high school graduating class are displayed in the waterpiot, with the regression line added to the phone come ever below O A. The association between math scores and verbal scores is moderately linear and positive. Students with high math...
The College Board finds that the distribution of students' SAT scores depends on the level of education their parents have. Children of parents who did not finish high school have SAT math scores X with mean 453and standard deviation 108. Scores Y of children of parents with graduate degrees have mean 564 and standard deviation 103. Perhaps we should standardize to a common scale for equity. Find numbers a, b, c, and d such that a + bX and c...
The College Board finds that the distribution of students' SAT scores depends on the level of education their parents have. Children of parents who did not finish high school have SAT math scores X with mean 449 and standard deviation 106. Scores Y of children of parents with graduate degrees have mean 554 and standard deviation 107. Perhaps we should standardize to a common scale for equity. Find numbers a, b, c, and d such that a + bX and...