Question: Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an average of µ = 8.9 new words (words not used in the poet’s other works). The standard deviation of the number of new words is σ = 2.5. Now a manuscript with six new sonnets has come to light, and scholars are debating whether it is the poet’s work. The new sonnets contain an average of \[\bar{x}\] = 10.2 words not used in the poet’s known works. If the poems were by another author, researchers would expect the poems to contain more new words. So, we want to determine if there is enough evidence that the new sonnets are not by this Elizabethan poet.

1. State the null and alternative hypothesis for this research problem.
2. Compute the z test statistic. Show your work.
3. Compute the p-value. Show your work.
4. What can you conclude about the authorship of the new poems? Include in your answer whether or not you can reject (or not) the null hypothesis, and the practical meaning of your statistical conclusion (i.e., explain in laymen’s terms what the results mean).

Price: $2.99

Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document