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
41. Using level of significance , test whether the 2011 scores are higher than the 2007 scores, on average.
10.1.41
versus ; Reject if the . ; ; The is , so we reject . There is evidence at level of significance that the population mean of the differences in math scores is greater than 0. That is, there is evidence at level of significance that the mean math score in 2011 is higher than the mean math score in 2007.