An Field Researcher Is Gathering Data on the Trunk Diameters $\alpha = 0.10$

question 61

Multiple Choice

An 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 $\alpha = 0.10$ , that the average trunk diameter of a pine tree is greater than the average diameter ofa spruce tree?
$\begin{array}{lcc}\hline & \text { Pine trees } & \text { Spruce trees } \\\hline \text { Sample size } & 60 & 80 \\\text { Mean trunk diameter, cm } & 46 & 40 \\\text { Population variance } & 155 & 127\end{array}$

• A) The data does not support the conclusion that the average pine tree trunks are larger because the test value 24.54 is greater than than the critical value 1.65.
• B) The data supports the conclusion that the average pine tree trunks are larger because the test value 2.94 is greater than than the critical value 1.28.
• C) The data does not support the conclusion that the average pine tree trunks are larger because the test value 1.44 is greater than than the critical value 1.28.
• D) The data supports the conclusion that the average pine tree trunks are larger because the test value 2.94 is greater than than the critical value 1.65.

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Definitions:

Base-Catalyzed Hydration

A reaction in which water adds across a carbon-carbon double bond in the presence of a base, leading to the formation of an alcohol.

2-Butanone

Also known as methyl ethyl ketone (MEK), it is a solvent used in various industrial applications with a sharp, sweet odor.

Organic Product

A molecule synthesized by an organic reaction, typically consisting primarily of carbon and hydrogen atoms, along with other elements such as oxygen, nitrogen, sulfur, or halogens.

Nucleophilic Addition

A fundamental type of reaction in organic chemistry where a nucleophile forms a bond with an electrophile, typically resulting in the addition of the nucleophile to a carbon atom.