An field researcher is gathering data on the trunk diameters ofmature pine and s

Question

An field researcher is gathering data on the trunk diameters ofmature pine and spruce trees in a certain area. The following arethe results of his random sampling. Can he conclude, at alpha= .10,that the average trunk diameter of a pine tree is greater than theaverage diameter of a spruce tree? Pine trees Spruce trees Sample size 80 60 Mean trunk diameter (cm) 40 37 Sample variance 110 130



a. The data does not support theclaim because the test value 0.85 is less than than 1.64.

b. The data does support theclaim because the test value 1.59 is greater than than 1.28.

c. The data does not supportthe claim because the test value 1.59 is less than than 1.64.

d. The data does support theclaim because the test value 1.59 is less than than 1.28.

Pine trees Spruce trees Sample size 80 60 Mean trunk diameter (cm) 40 37 Sample variance 110 130 Pine trees Spruce trees Sample size 80 60 Mean trunk diameter (cm) 40 37 Sample variance 110 130

Explanation / Answer

b. The data doessupport the claim because the test value 1.59 is greater than than1.28.

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