This is exercise 6.27 from Moore and McCabe.
Statistics can help decide the authorship of literary works. Sonnets
by an Elizabethan poet are known to contain an average of 
new words (words not used in the poet's other works). The standard
deviation of the number of new words is 
. Now a
manuscript with 5 new sonnets has come to light and scholars are
debating whether it is the poet's work. The new sonnets contain an
average of 
words not used in the poet's known
works. We expect poems by another author to contain more new words, so
to see if we have evidence that the new sonnets are not by our poet we
test
Give the z-statistic and its P-value. What do you conclude about
the authorship of new poems?