Please answer the following T/F questions.

1) According to the central limit theorem, sample mean from any distribution will be eventually follow normal distribution as the sample size increases.

2) For a fixed size of sample, Type2 error increased as type 1 error decreased

3) Regression analysis assumes that all independent variable should follow normal distribution.

4) population means are always located at the center point of confidence interval

5) in a regression analysis, values of independent variables tend to have high level of correlations with each other