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.
|College Grads||High School Grads|
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 .00 5between .005 and .01 between .01 and .025 between .025 and .05 between .05 and .10 between .10 and .20 greater than .20 Item 7
d. At , what is your conclusion?
point estimate of the difference =59.0 higher if parents are college grads.
|test stat t =(x1-x2-Δo)/Se=||2.083|
Degrees of freedom =25
p value : between .01 and .025
reject Ho and conclude that students show a higher population mean math score on the SAT if their parents attained a higher level of education.
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