[Steps Shown] Statistics can help decide the authorship of literary works. Sonnets by an Elizabethan poet are known to contain an average of μ = 6.9


Question: Statistics can help decide the authorship of literary works. Sonnets by an Elizabethan poet are known to contain an average of \(\mu \) = 6.9 new words (words not used in the poet’s other works). The standard deviation of the number of new words is \(\sigma \) = 2.7. Now a manuscript with five new sonnets has come to light, and scholars are debating whether it is the poet’s work. The new sonnets contain an average of \(\bar{x}\) = 9.2 words not used in the poet’s known works. We expect poems by another author to contain more new words.

  1. State the hypotheses and identify the claim.
  2. Given an =0.05 , what type of test is used (left tailed, right tailed or two-sided tail) and what is the critical z-value?
  3. Compute the test value.
  4. Make the decision.
  5. Summarize the results.

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