Is each statement true or false? Please explain to help me understand why each statement is true or false.

1. For all two-sample tests, the sample sizes must be equal in the two groups.
2. When you test for differences between the means of two independent populations, you can only use a two-tail test.
3. A statistics professor wanted to test whether the grades on a statistics test were the same for upper and lower classmen. The professor took a random sample of size 10 from each, conducted a test and found out that the variances were equal. For this situation, the professor should use a t test with related samples.
4. A statistics professor wanted to test whether the grades on a statistics test were the same for upper and lower classmen. The professor took a random sample of size 10 from each, conducted a test and found out that the variances were equal. For this situation, the professor should use a t test with independent samples.
5. Repeated measurements from the same individuals is an example of data collected from two related populations.
6. The analysis of variance (ANOVA) tests hypotheses about the population variance.
7. If you are comparing the mean sales among 3 different brands you are dealing with a one-way ANOVA design.