A golf instructor wants to determine if the drive distance is different for three golf ball brands. The instructor has several of his students drive the different brands and collects the following data. 
a. Construct a two-way (without interaction) ANOVA table for the data.
B) At the 5% significance level, can you conclude the average drive distance differs by brand?
C) Explain why the golf instructor is not interested in the hypothesis test about the golfers.
D) Explain why the golf instructor uses a two-way ANOVA rather than a one-way ANOVA for brand.
Definitions:
Amphetamine Derivative
A substance chemically related to amphetamine, used for various medical purposes but may also have stimulant effects or potential for abuse.
Mild Hallucinogen
A substance that induces mild alterations in perception, mood, and thought, typically without causing delusions or loss of touch with reality.
Ecstasy
A state of intense joy and happiness, or a drug known for inducing feelings of euphoria.
Stored Serotonin
Serotonin that is accumulated and kept within the synaptic vesicles of neuron cells in the central nervous system, playing a crucial role in mood regulation.
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