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.
| 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 |
mathscores
43. Use your confidence interval from the previous exercise to test, using level of significance , whether the population mean difference equals the following values:
10.1.43
(a) versus ; lies outside the interval, so we reject . (b) versus lies inside the interval, so we do not reject . (c) versus lies inside the interval, so we do not reject .