You Read in a Popular New Magazine "A Group of College

Short Answer

You read in a popular new magazine "A group of college women scored significantly higher, on the average, than a group of college men on the specially constructed test of intuitive problem solving."
(a)How is the statistically unsophisticated person likely to interpret the above statement (consider in particular the italicized phrase)?
(b)What does the statement really mean? Answer in terms of what was tested and what was decided.
(c)Is it possible that the difference in means between the women and men was in fact quite small? If so, how could a significant difference be observed?
(d)What additional statistical information would you want in order to evaluate the difference between the women and the men?