Question

If the population does not follow the normal probability distribution, the Central Limit Theorem tells us that the sample means will be normally distributed with sufficiently large sample size. In most cases, sample sizes of 5 or more will result in sample means being normally distributed, regardless of the shape of the population distribution.a) trueb) false

Answer 1

The correct option is false

Explanation:

Generally the Central Limit Theorem tells us that the sample means will be normally distributed with sufficiently large sample size( i.e
`n \ge 30` ) regardless of the shape of the population distribution.

But the question states that the mean is normally distributed if the sample size is 5 or more which is false hence the statement is false