A student believes that the average grade on the final examination in statistics is at least 85.She plans on taking a sample to test her belief.The correct set of hypotheses is A)H₀: $\mu$ 85 C)H₀: $\mu$ $\ge$85 H_a: $\mu$ 85 H_a: $\mu$ $\le$ 85

Question

A student believes that the average grade on the final examination in statistics is at least 85.She plans on taking a sample to test her belief.The correct set of hypotheses is A)H₀: $\mu$ < 85 H_a: $\mu$ $\ge$ 85 B)H₀: $\mu$ $\le$85 H_a: $\mu$ > 85 C)H₀: $\mu$ $\ge$85 H_a: $\mu$ < 85 D)H₀: $\mu$ > 85 H_a: $\mu$ $\le$ 85

Quizplus · Accepted Answer

The null hypothesis (H0) must always state the equality or no effect, while the alternative hypothesis (Ha) must state the opposite. In this case, the null hypothesis should be that the average grade on the final is equal to 85, while the alternative should state that it is less than 85. Therefore, the correct set of hypotheses is H0: μ = 85 vs. Ha: μ < 85. Choice C is the only one that correctly formulates the null and alternative hypotheses in this way.

A Student Believes That the Average Grade on the Final μ\muμ

A Student Believes That the Average Grade on the Final $\mu$