Which of the following is not correct about the Central Limit Theorem?

The correct answer is Option (4) → The sampling distribution of the sample mean approaches a Poisson distribution as the sample size gets larger.

$\text{Central Limit Theorem (CLT) states:}$

$\text{1. The sampling distribution of the sample mean approaches a normal (bell-shaped) distribution as the sample size increases.}$

$\text{2. A sample size of 30 or more is generally considered sufficient for the CLT to hold.}$

$\text{3. Larger sample sizes make estimates of population characteristics more accurate.}$

$\text{4. The sampling distribution does not approach a Poisson distribution; it approaches a normal distribution.}$

$\text{The incorrect statement is: “The sampling distribution of the sample mean approaches a Poisson distribution as the sample size gets larger.”}$