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: μ>= 85 Ha: μ < 85.
b. H0: μ <=85 Ha: μ > 85.
c. H0: μ < 85 Ha: μ>= 85.
d. H0: μ > 85 Ha: μ<= 85.

Answer 1

The correct set of hypotheses is: H0: μ ≥ 85 and Ha: μ < 85.

Step-by-step explanation:

The correct set of hypotheses for the student's belief that the average grade on the final examination in statistics is at least 85 is:

H0: μ ≥ 85

Ha: μ < 85

The null hypothesis (H0) represents the belief to be tested, which is that the average grade is at least 85. The alternative hypothesis (Ha) represents the student's belief that the average grade is less than 85. This set of hypotheses allows for testing whether the average grade is less than the stated belief, which aligns with the student's plan to take a sample to test her belief.