 # Whether the provided statement is true or false. Line 2021-02-12 Answered
Whether the provided statement is true or false.
You can still ask an expert for help

## Want to know more about Sampling distributions?

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it stuth1

Given:
The provided statement is, “As sample size increases, the sampling distribution of $$\overline{x}$$ becomes more and more skewed.”
The central limit theorem is one of the important concepts of the large sample theory. It can be stated, “If the size of a sample increases, the population mean can be approximated by the sample mean and the population standard deviation becomes approximately equal to the ratio of the sample standard deviation and the square root of the sample size.”
In other words,central limit theorem, for a sufficiently large sample size, the sampling distributions of the mean tend to be normal distribution, irrespective of the distribution of the population.
Therefore, as sample size increases the sampling distribution of $$\overline{x}$$ becomes less and less skewed. Hence, the provided statements are false.