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In this Task you will investigate four questions about students SAT scores at one high school. 1. What is the mean SAT-Math score at this

In this Task you will investigate four questions about students SAT scores at one high school.

1. What is the mean SAT-Math score at this high school?

2. How do these students SAT Math scores stack up against the rest of the state?

3. Is there a significant difference between Verbal and Math scores for these students?

4. Nationally males tend to have higher Math scores than females. Is that true at this high school, too?

o Draw a sample of these students, carefully explaining your procedure.

o Use your sample to create a 95% confidence interval for the mean SAT-I Math score at this high school.

o Based on your confidence interval, compare the performance of these students with the statewide mean Math score of 503.

o Determine whether your sample provides statistical evidence that Verbal and Math scores differ for students at this high school.

o Determine whether your sample provides statistical evidence that males have higher Math scores than females at this school.

o Prepare a written report that includes complete demonstrations of the statistical procedures you use and your conclusions (in context, of course).

Gender

Verbal

Math

F

450

450

F

640

540

M

590

570

M

400

400

M

600

590

M

610

610

F

630

610

M

660

570

F

660

720

F

590

640

M

580

650

F

500

540

F

480

360

M

530

520

M

690

640

M

480

570

F

450

420

M

650

650

F

620

600

M

630

470

M

490

520

M

560

620

F

710

720

F

360

390

F

590

530

M

520

630

M

510

600

F

630

630

F

740

760

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