True or False for the following statements:

1. Regardless of the distribution of the original population, as long as 1. the sample is randomly selected and 2. the sample size is greater than 30, the distribution of the sample mean will be approximately normal
2. To model an experiment with the binomial distribution, the number of trials doesn't have to be fixed.
3. If extreme outliers exist in a population, the mean will be a better measure of center than the median.
4. To make sure we never make a Type-I error in a hypothesis test, we can setequal to zero.
5. The wider the confidence interval is the more accurate the estimate is, because the confidence level has increased.