Question

A student gathers student final exam scores for 3 different professors teaching the same class. She uses ANOVA to test the claim that the 3 sections have the same average score. Her p-value is very close to o. What conclusion should she draw? Select one: a. The test is significant and it appears that the 3 samples have the same final exam averages b. The test is not significant and it appears that the 3 samples have the same final exam averages c. The test is not significant and it appears that the 3 samples have different final exam averages. d. The test is significant and it appears that the 3 samples have different final exam averages

Answer 1

$H_{0}:\mu_{1}=\mu_{2}=\mu_{3}$

vs

$H_{1}:\mu_{1}\neq \mu_{2}\neq \mu_{3}$

Option d) is correct.

P value is very close to 0 means we reject H0.

The test is significant and it appears that the 3 samples have different final exam averages.