Question

Central Limit Theorem Condition Remains True Regardless Of Whether The Population Is Skewed Or Normal, Provided The Sample Size Is Sufficiently Large. What Is The Minimum Size Of Sample To Hold This Condition?

Answer 1

The minimum sample size for the validation of the Central Limit Theorem(CLT) regardless of the shape of population distribution is 30.

Step-by-step explanation:

• In Statistics, the CLT is basically employed to estimate the population parameters based on the sample estimates. It is one of the major guiding principles of Probability Theory.
• The CLT basically states that as the sample size increases the sample estimates will be increasingly closer to the actual population parameters. CLT can be applicable under which the population can be both normally distributed or skewed.
• An overall minimum sample size of 30 or greater is sufficient for the CLT to be valid and as the sample size increases the distribution will generally become increasingly normal.