(Solution) - Suppose a researcher wants to conduct a series of experiments -(2025 Original AI-Free Solution)

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Suppose a researcher wants to conduct a series of experiments to study the effect of fertilizer and temperature on plant growth. She uses four different brands of fertilizers in three different settings for the rose plants of the same age and of similar growth.
(a) How many factor-level combinations are possible in this experiment?
(b) Each experiment makes use of one fertilizer-temperature combination (one-factor-at-a-time design). How should she implement randomization in this experiment?