A. How we could tell whether the five assumptions below are satisfied or not? This is especially important for the first and third one.

1. Sample is assumed to be normal for each population taken.

2. Samples are randomly selected and independent.

3. Population is assumed to have equal standard deviations (or variances).

4. The factor is a categorical variable.

5. The response is a numerical variable.

B. what we should do next if the F test is significant, i..e, the null hypothesis is rejected?

"Yes, it goes without saying that if we reject the null hypothesis, we will consider the alternative hypothesis true"

The question is: which statistical procedure we should use to do that?

NOTE: Please answer in thorough and step-by-step so that I can understand my learning. Do not rush, I need a quality answer, please.