Which of the following statements are true?

(A) Central limit theorem states that the sampling distribution of the mean ($\bar{x}$) approaches a normal distribution as the sample size increases.
(B) As per Central Limit Theorem, when the sample size increases, the mean ($\bar{x}$) for the data becomes closer to the mean of overall population.
(C) The shape of t-distribution does not depend on degree of freedom.

Choose the correct answer from the options given below:

(A) only

The correct answer is Option (3) - (A) only