The College Board reports that the national mean and standard deviation for high school seniors taking the SAT-V is μ =465 and σ =55. A local principal wants to know if the students in his school are performing at or above the national average on the SAT-V. He takes a random sample of 15 seniors and obtains the following scores. SAT-V 500 570 470 420 520 510 520 450 470 490 520 550 570 620 610 ∑∑ X = 7,790 Can the principal be confident that the seniors in his school performed significantly differently on the SAT-V compared to students nationally? State the correct null and research (alternative) hypotheses and conduct the appropriate statistical test to address this research question: Is there a significant difference between the national mean and sample of SAT-V? Carry out all 9 steps of hypothesis testing. Use α = .05
The College Board reports that the national mean and standard deviation for high school seniors taking the SAT-V is μ =465 and σ =55. A local principal wants to know if the students in his school are performing at or above the national average on the SAT-V. He takes a random sample of 15 seniors and obtains the following scores.
<SAT-V Data 2>
| SAT-V |
| 500 |
| 570 |
| 470 |
| 420 |
| 520 |
| 510 |
| 520 |
| 450 |
| 470 |
| 490 |
| 520 |
| 550 |
| 570 |
| 620 |
| 610 |
∑∑ X = 7,790
Can the principal be confident that the seniors in his school performed significantly differently on the SAT-V compared to students nationally?
State the correct null and research (alternative) hypotheses and conduct the appropriate statistical test to address this research question: Is there a significant difference between the national mean and sample of SAT-V? Carry out all 9 steps of hypothesis testing. Use α = .05
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