Which of the following are correct general statements about the Central Limit Theorem? Select all that apply.

1. It specifies the specific shape of the curve which approximates certain sampling distributions.

2. It’s name is often abbreviated by the three capital letters CLT

3. The word Central within its name, is meant to signify its role of central importance in the mathematics of probability and statistics.

4. The accuracy of the approximation it provides, improves when the trial success proportion p is closer to

5. It specifies the specific mean of the curve which approximates certain sampling distributions.

6. The accuracy of the approximation it provides, improves as the sample size n increases.

7. It specifies the specific standard deviation of the curve which approximates certain sampling distributions.

8. It is a special example of the particular type of theorems in mathematics, which are called limit theorems.