Answer the following statement(s) true (T) or false (F)

1. The estimation error is the difference between a sample statistic and a population parameter.
2. A confidence interval is defined the range within which the unknown but true population parameter is estimated to lie.
3. A 95% confidence interval is sometimes expressed as stating that when drawing many samples, 5% of the times the mean will lie within a confidence interval.
4. The Central Limit Theorem is fundamental statistical insight that allows us to make inferences from a single sample to the population.
5. A probability distribution is a statistical function which describes all possible values and likelihoods that a variable can take.

1.true
2.true
3.false
4.true
5.true