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Homework answers / question archive / 1)A test of the null hypothesis H0: μ = μ0 What is the P-value if the alternative is Ha: μ > μ0 gives test statistic z = 1
1)A test of the null hypothesis H0: μ = μ0 What is the P-value if the alternative is Ha: μ > μ0
gives test statistic z = 1.89
? (report to 2 decimal places)
2. A test of the null hypothesis H0: μ = μ0 gives test statistic z = 1.89
What is the P-value if the alternative is Ha: μ < μ0 ? (report to 2 decimal places)
3. A test of the null hypothesis H0: μ = μ0 gives test statistic z = 1.89
What is the P-value if the alternative is Ha: μ desn't equal μ0 ? (report to 2 decimal places)
4. 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 x= 10.2 words not used in the poet's known other 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:
H0: μ = 8.9
Ha: μ > 8.9
Give the z test statistic (report to 2 decimal places):
Give the p-value (report to 2 decimal places):
Is there evidence to support saying that there is a new poet (yes/no)?
