Mathematics Scores Worldwide. The National Center for Educational Statistics publishes the results from the Trends in International Math and Science Study (TIMSS). The table contains the 2007 and 2011 mean mathematics scores for eighth-graders from various countries. Assume that the population of score differences is normally distributed. Use this information for Exercises 39–44.
Table 10.18: Eighth-grade math scores
| Country | 2007 | 2011 |
|---|---|---|
| Singapore | 593 | 611 |
| Japan | 570 | 570 |
| Hong Kong | 572 | 586 |
| England | 513 | 507 |
| United States | 508 | 509 |
| Hungary | 517 | 505 |
| Italy | 480 | 498 |
| Russia | 512 | 539 |
| Ukraine | 462 | 479 |
| Australia | 496 | 505 |
| South Korea | 597 | 613 |
| Slovenia | 501 | 505 |
| Thailand | 441 | 427 |
| Norway | 469 | 475 |
| Indonesia | 397 | 386 |
Question 10.44
mathscores
44. What if we added a certain constant number to each score in the table? How would this change affect the following?
- The conclusion