Question 12.111
worldmath
15. Eighth-Grade Math Scores Worldwide. Have worldwide eighth-grade math scores been changing? The table contains the TIMMS average math score for eighth-graders in five countries, for the years 1995, 2007, and 2011. Test, using the randomized block design at level of significance , whether the population mean math score differs across the three years.
| 1995 | 2007 | 2011 | |
|---|---|---|---|
| Singapore | 609 | 593 | 611 |
| Japan | 581 | 570 | 570 |
| Russia | 524 | 512 | 539 |
| USA | 492 | 508 | 509 |
| Sweden | 540 | 491 | 484 |
Table 12.40: Source: National Center for Education Statistics.
12.3.15
: Not all the population means are equal. Reject if the .
.
.
The is not . Therefore we do not reject . There is not enough evidence to conclude at level of significance that not all of the population mean math scores are the same for all three years.