The College Board provided comparisons of SAT scores based onthe highest level of education attained by the test taker'sparents. A research hypothesis was that students whose parents hadattained a higher level of education would on average score higheron the SAT. This data set contains verbal SAT scores for a sampleof students whose parents are college graduates and a sample ofstudents whose parents are high school graduates. Use 0.01 as yourlevel of significance.
- Formulate hypotheses to test the research hypothesis. Letpopulation 1 be the students whose parents are college graduatesand let population 2 be students whose parents are high schoolgraduates.
- Is this an one-tailed or two-tailed test?
- Use Excel to test your hypotheses. What is the teststatistic?
- What is the p-value?
- What is the critical value?
- What is your conclusion using 0.01 as the level ofsignificance?
- Explain your conclusion in the context of the problem (i.e. interms a non-statistician could understand).
| College | High School |
| 485 | 442 |
| 534 | 580 |
| 650 | 479 |
| 554 | 486 |
| 550 | 528 |
| 572 | 524 |
| 497 | 492 |
| 592 | 478 |
| 487 | 425 |
| 533 | 485 |
| 526 | 390 |
| 410 | 535 |
| 515 | |
| 578 | |
| 448 | |
| 469 | |
| College | High School |
| 485 | 442 |
| 534 | 580 |
| 650 | 479 |
| 554 | 486 |
| 550 | 528 |
| 572 | 524 |
| 497 | 492 |
| 592 | 478 |
| 487 | 425 |
| 533 | 485 |
| 526 | 390 |
| 410 | 535 |
| 515 | |
| 578 | |
| 448 | |
| 469 | |
