(See Solution) Measuring Intelligence in Children Mental measurements of young children are often made by giving them blocks and telling them to build a
Question: Measuring Intelligence in Children Mental measurements of young children are often made by giving them blocks and telling them to build a tower as tall as possible. One experiment of block building was repeated a month later, with the times (in seconds) listed in the accompanying table (based on data from "Tower Building," by Johnson and Courtney, Child Development, Vol. 3 ).
- Is there sufficient evidence to support the claim that there is a difference between the two times? Use a 0.01 significance level.
- Construct a \(99 \%\) confidence interval for the mean of the differences. Do the confidence interval limits contain 0 , indicating that there is not a significant difference between the times of the first and second trials?
| Child | Before | After |
| A | 30 | 30 |
| B | 19 | 6 |
| C | 19 | 14 |
| D | 23 | 8 |
| E | 29 | 14 |
| F | 178 | 52 |
| G | 42 | 14 |
| H | 20 | 22 |
| I | 12 | 17 |
| J | 39 | 8 |
| K | 14 | 11 |
| L | 81 | 30 |
| M | 17 | 14 |
| N | 31 | 17 |
| O | 52 | 15 |
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