Question
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
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 |
Step by Step Solution
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