I am confused about two assumptions of Central Limit Theorem that are as follows. Could you please clarify why do we need these two assumptions for CLT to be valid. And what would it be if we fail to meet one of the assumptions. Thanks so much.
Independence Assumption: The sample values must be independent of each other.
10% Condition: When the sample is drawn without replacement (usually the case), the sample size, n, should be no more than 10% of the population.