Solve at least one related problem from the topics below. You have the freedom to pick any question related to the topics given below.

1. Differentiate between independent samples and dependent samples
2. Z-test for two population means(s₁ands₂are known)
3. t-test with equal variance (pooled variance t-test)
4. t-test with unequal variance (no pooled variance or separate variance or Welch's t-test)
5. F-test for two population variances
6. Conditions for performing the tests