The results of a mathematics placement exam at two different campuses of Mercy College follow: What is the alternative hypothesis if we want to test the hypothesis that the mean score on Campus 1 is higher than on Campus 2? A) H₀: µ₁ = 0 B) H₀: µ₂ = 0 C) H₀: µ₁ µ₂ D) H₀: µ₁ $\le$µ₂

Question

The results of a mathematics placement exam at two different campuses of Mercy College follow: What is the alternative hypothesis if we want to test the hypothesis that the mean score on Campus 1 is higher than on Campus 2? A) H₀: µ₁ = 0 B) H₀: µ₂ = 0 C) H₀: µ₁ > µ₂ D) H₀: µ₁ $\le$µ₂

Quizplus · Accepted Answer

The alternative hypothesis should state that the mean score on Campus 1 is higher than on Campus 2. Therefore, choice C is the best option as it specifically states this relationship in the form of µ₁ > µ₂. Choices A and B do not state this relationship, and choice D includes an unnecessary F-test notation.

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