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A Field Researcher Is Gathering Data on the Trunk Diameters ±=.10{ } ^ { \pm } = .10

Question 36

Multiple Choice

A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are the results of his random sampling. Can he conclude, at ±=.10{ } ^ { \pm } = .10 , that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree?
 Pine trees  Spruce trees  Sample size 8060 Mean trunk diameter (cm) 3533 Sample variance 130150\begin{array}{|l|c|c|}\hline & \text { Pine trees } & \text { Spruce trees } \\\hline \text { Sample size } & 80 & 60 \\\hline \text { Mean trunk diameter }(\mathrm{cm}) & 35 & 33 \\\hline \text { Sample variance } & 130 & 150 \\\hline\end{array}


A) The data do not support the claim because the test value 0.48 is less than 1.28.
B) The data do not support the claim because the test value 0.98 is less than 1.28.
C) The data do not support the claim because the test value 0.98 is less than 1.64.
D) The data do not support the claim because the test value 0.48 is less than 1.64.

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