*13. You read the following in a popular magazine: \A group of college women scored significantly higher, on average, than a group of college men on a test of emotional intelligence."

(Limit your answers to statistical matters covered in this chapter.)

(a) How is the statistically unsophisticated person likely to interpret this statement

(particularly the italicized phrase)?

(b) What does this statement really mean?

(c) Is it possible that the difference between the average woman and the average man 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 actual difference between these women and men?