I’m working on a statistics discussion question and need an explanation and answer to help me learn.

Discussion 1.) 

• Prompt: Under what conditions should you use the two-way ANOVA F test to examine possible differences among the means of each factor in a factorial design? Provide two examples, one in which you should use the two-way ANOVA F test and one where you should not.

Discussion 2.) 

• Prompt: Under what conditions should you use the chi-squared test to determine whether there is a difference among the proportions of more than two independent populations? Provide two examples.