SAT Reading and Math Scores. Use this information for Exercises 61–65. The table shows the SAT scores for five states as reported by the College Board. We are interested in whether a linear relationship exists between the SAT Reading score and the SAT Math score .
| State | SAT Reading | SAT Math |
|---|---|---|
| New York | 497 | 510 |
| Connecticut | 515 | 515 |
| Massachusetts | 518 | 523 |
| New Jersey | 501 | 514 |
| New Hampshire | 522 | 521 |
statesat
63. Test, using level of significance , whether a linear relationship exists between the SAT reading score and the SAT Math score.
13.1.63
: There is no linear relationship between SAT Reading score () and SAT Math score (). : There is a linear relationship between SAT Reading score () and SAT Math score (). Reject if or . Since , we reject . There is evidence at level of significance that and that there is a linear relationship between SAT Reading score () and SAT Math score ().