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In a study of the pernicious giant hogweed, a researcher compared the density of these plants...

In a study of the pernicious giant hogweed, a researcher compared the density of these plants in two different sites within the Caucasus region of Russia. In its native area, the average density was found to be 5 plants/m2. In an invaded area of the Czech Republic, a sample of 14 plants produced an average density of 8.27 plants/m2, with a standard deviation of 3.9 plants/m2. Does the invaded area of the Czech Republic have an average density of giant hogweed that is different from the native area? Test this hypothesis at the 1% significance level. Assume that the population is normal.

(A) Reject H0 since 2.84 is greater than 2.650.   (B) Reject H0 since the p-value is equal to .0016, which is less than .01.   (C) Reject H0 since 3.14 is greater than 3.012.   (D) Reject H0 since 3.14 is greater than 2.650.   (E) Reject H0 since 3.14 is greater than 2.575.

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