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Mathematics, 22.03.2021 23:20 vale2652

A vet wants to determine which of two brands of flea treatment is best for the cats in the shelter. Before using one of the flea treatments on all the cats, the vet decides to conduct an experiment using 32 individual cats. Which of the following two plans for randomly assigning the treatments should the vet use? PLAN A: Choose the 16 cats that are most riddled with fleas. Apply Brand M to all 16 of those cats. Apply Brand N to the remaining 16 cats.
PLAN B: Choose 16 of the 32 cats at random. Apply Brand M to all 16 of those cats and Brand N to the remaining 16 cats.

ANSWERS:
1: Plans A and B are equivalent because they both follow experimental design.
2: Plans A and B are both poorly designed because there are not enough cats to test
3: Plan A, because the cats that have the most fleas need flea treatment the most and should be treated first.
4: Plan B, because the sample of cats is randomly chosen.
5: The plans cannot be evaluated from the information given.

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