In: Statistics and Probability
A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the exam follow.
Student | Math | Writing |
---|---|---|
1 | 540 | 474 |
2 | 432 | 380 |
3 | 528 | 463 |
4 | 574 | 612 |
5 | 448 | 420 |
6 | 502 | 526 |
7 | 480 | 430 |
8 | 499 | 459 |
9 | 610 | 609 |
10 | 572 | 541 |
11 | 390 | 335 |
12 | 593 | 607 |
1. Calculate the test statistic. (Round your answer to three decimal places.)
2. Calculate the p-value. (Round your answer to four decimal places.)
p-value =
3. What is the point estimate of the difference between the mean scores for the two tests? (Use math score − writing score.)
4. What are the estimates of the population mean scores for the two tests?
Math
Writing