(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 ).

  1. Is there sufficient evidence to support the claim that there is a difference between the two times? Use a 0.01 significance level.
  2. 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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