A hunting supply store is interested in knowing whether three different brands of goose decoys are equally effective in attracting geese.Each goose decoy is randomly assigned to five hunters,and the order of each experiment is also randomized.An experiment consists of a hunter using one goose decoy and waiting fifteen minutes.The number of geese attracted by the decoy is counted.

A) H0: μ1 ≠ μ2 ≠ μ3 vs.the alternative that all decoy brand mean number of geese are equal
B) H0: μ1 ≠ μ2 ≠ μ3 ≠ μ4 ≠ μ5 vs.the alternative that all hunter mean number of geese are equal
C) H0: μ1 = μ2 = μ3 vs.the alternative that not all decoy brand mean number of geese are equal
D) H0: μ1 = μ2 = μ3 = μ4 = μ5 vs.the alternative that not all hunter mean number of geese are equal
E) H0: μbrand ≠ μhunter vs.the alternative that decoy brand and hunter mean number of geese are equal

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Kristen Peterka · Accepted Answer

Final Answer : C, Explanation :  The null hypothesis states that all three decoy brands have equal effectiveness in attracting geese. This is the most plausible hypothesis to test given the context of the scenario. The alternative hypothesis is that not all decoy brand mean number of geese are equal, which covers the possibility that one or two of the brands are more effective than the others.

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