3.46. The United Nations publication Energy Statistics Yearbook (unstats.un.org/unsd/energy) lists consumption of energy. For the 25 nations that made up the EU in 2006, the energy values (in kilograms per capita) had a mean of 4998 and a standard deviation of 1786.

(a) Italy had a value of 4222. How many standard deviations from the mean was it?

(b) The value for the U.S. was 11.067. Relative to the distribution for the EU, find its z-score.

Interpret.

(c) If the distribution of EU energy values were bell shaped, would a value of 11,067 be unusually high? Why?