Question

A sample size of $x$ is considered to be sufficient to hold the Central Limit Theorem (CLT). The value of $x$ should be:

• A. less than 20
• B. greater than or equal to 30
• C. less than 30
• D. sample size does not affect the CLT

Answer 1

Answer: (B)

greater than or equal to 30

Answer 2

The Central Limit Theorem (CLT) states that for a sufficiently large sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the population’s distribution. Typically, a sample size of $n \geq 30$ is considered sufficient for the CLT to hold true in practice.

Thus, the correct answer is $n \geq 30$.