True or False? If the null hypothesis that all population means are equal is rejected by the analysis of an one-way ANOVA test, the alternative hypothesis that all population means differ is concluded to be true.

True or false: The P-value is the smallest significance level for which the observed sample data result in rejection of the null hypothesis.

What is the null hypothesis? Why do we want to reject our null hypothesis? The first step is the find the mean of our sample and compare it to the "hypothesized" mean of our null hypothesis—why do we do that? We use the results of our first step to calculate a test-statistic. Why is this important and how does it relate to the concept of z-score, which we learned a few weeks ago? What is a p-value? What role does it play in the rejection of the null hypothesis? What does it mean to reject the null hypothesis? Does that guarantee that the null hypothesis is false?

In two-way ANOVA, what does it mean when we say that we have balanced data?