Question

In: Statistics and Probability

The comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained...

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  (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 High School Grads
528 672 456 456
576 528 576 444
464 448 588 444
448 640 516 564
464 576 408 384
432 496 576 408
480 496
608 496

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.

population mean verbal score parents college grads.

population mean verbal score parents high school grads.

- Select your answer -<>≤≥=≠Item 1
- Select your answer -<>≤≥=≠Item 2

b. What is the point estimate of the difference between the means for the two populations? (to 1 decimal)

points - Select your answer -lowerhigherItem 4 if parents are college grads.

c. Compute the -value for the hypothesis test.

-value (to 3 decimals)
Degrees of freedom (round your answer to previous whole number)

-value is - Select your answer -lower than .005between .005 and .01between .01 and .025between .025 and .05between .05 and .10between .10 and .20greater than .20Item 7

d. At , what is your conclusion?

We - Select your answer -cancannotItem 8 reject .

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

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...
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...
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...
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...
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 SAT scores based on the highest level of education attained...
The College Board provided comparisons of 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. This data set contains verbal SAT scores for a sample of students whose parents are college graduates and a sample of students whose parents are high school graduates. Use 0.01 as your level of significance. Formulate...
The following are the average scores on the mathematics part of the Scholastic Aptitude Test (SAT)...
The following are the average scores on the mathematics part of the Scholastic Aptitude Test (SAT) for some of the years from 1994 to 2009. Year, SAT Score 1994 504 1996 508 1998 512 2000 514 2002 516 2004 518 2005 520 2007 515 2009 515 Assuming a simple linear regression model, predict the average scores in 1997, 2006 and 2008
The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT)...
The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT) for the school's male and female applicants. A random sample of 19 male applicants results in a SAT scoring mean of 1101 with a standard deviation of 30. A random sample of 9 female applicants results in a SAT scoring mean of 1014 with a standard deviation of 29. Using this data, find the 98% confidence interval for the true mean difference between the...
The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT)...
The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT) for the school's in-state and out-of-state applicants. A random sample of 16 in-state applicants results in a SAT scoring mean of 1144 with a standard deviation of 55. A random sample of 10 out-of-state applicants results in a SAT scoring mean of 1185 with a standard deviation of 41. Using this data, find the 99% confidence interval for the true mean difference between the...
The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT)...
The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT) for the school's in-state and out-of-state applicants. A random sample of 16 in-state applicants results in a SAT scoring mean of 1144 with a standard deviation of 55. A random sample of 10 out-of-state applicants results in a SAT scoring mean of 1185 with a standard deviation of 41. Using this data, find the 99% confidence interval for the true mean difference between the...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT