You Wish to Compare Two Different Orders of Presentation (A

Short Answer

You wish to compare two different orders of presentation (A and B) of the items on a standard IQ test administered to a representative group of 10-year-olds. The test is constructed to give a standard deviation of 15 IQ points in a representative group at any age level. What is the probability of detecting a true difference (
of 5 IQ points (two-tailed test, ) if each of the two samples is of size:

(a)10?
(b)20?
(c)40?
(d)80?
(e)200?