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