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: $\mu$ $\geq$ 85 H_a: $\mu$ 85 H_a: $\mu$ $\leq$ 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: $\mu$ $\geq$ 85. B) H₀: $\mu$ $\leq$ 85 H_a: $\mu$ > 85. C) H₀: $\mu$ $\geq$ 85 H_a: $\mu$ < 85. D) H₀: $\mu$ > 85 H_a: $\mu$ $\leq$ 85.

Quizplus · Accepted Answer

The null hypothesis (H0) should represent the statement that the student wants to test against, which is that the average grade is at least 85. Therefore, H0: $\mu$ $\geq$ 85. The alternative hypothesis (Ha) is what the student would conclude if the null hypothesis is rejected, which is that the average grade is less than 85.

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

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