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Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)

Use 2 decimal places for the z-score and 4 for the p-value.

a. What is z?

b.The p-value is greater than?

c.What is the conclusion? A)The sonnets were written by another poet or b) There is not enough evidence to reject the null.

Answer:We conclude that the sonnets were written by by a certain Elizabethan poet.Step-by-step explanation:We aregiven the followingin the question:Population mean, μ = 8.9Sample mean,=10.2Sample size, n = 6Alpha, α = 0.05Population standard deviation, σ = 2.5First, wedesign the null and the alternate hypothesisWe useOne-tailed z testto perform this hypothesis.a) Formula:Putting all the values, we haveNow,b) We calculate the p value with the help of z-table.P-value = 0.1003Thep-value is greater than the significance level which is 0.05c) Since the p-value is greater than the significance level, there isnot enough evidence to reject the null hypothesis and accept the null hypothesis.Thus, we conclude that the sonnets were written by by a certain Elizabethan poet....

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