A student believes that the average grade on the final examination in statistics is greater than 85.To make her case, she will take a sample of scores and test a skeptical null hypothesis.The correct set of hypotheses is A)H₀: $\mu$ 85; H_a: $\mu$≤ 85 C)H₀: $\mu$≤ 85; H_a: $\mu$ 85 D)H₀: $\mu$ = 85; H_a: $\mu$$\neq$85 E)none of the above

Question

A student believes that the average grade on the final examination in statistics is greater than 85.To make her case, she will take a sample of scores and test a skeptical null hypothesis.The correct set of hypotheses is A)H₀: $\mu$ < 85; H_a: $\mu$ ≥ 85 B)H₀: $\mu$ > 85; H_a: $\mu$≤ 85 C)H₀: $\mu$≤ 85; H_a: $\mu$ > 85 D)H₀: $\mu$ = 85; H_a: $\mu$$\neq$85 E)none of the above

Quizplus · Accepted Answer

The correct set of hypotheses for testing if the average grade is greater than 85 involves setting the null hypothesis (H0) as the average being less than or equal to 85 (μ ≤ 85), and the alternative hypothesis (Ha) as the average being greater than 85 (μ > 85). This is because the null hypothesis typically represents the status quo or a statement of no effect, which the alternative hypothesis seeks to disprove.

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

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