Question

Suppose a simple random sample of size n is obtained from a population whose distribution is skewed right. as the sample size nâ increases, what happens to the shape of the distribution of the sampleâ mean?

Answer 1

Answer:
The distribution of the sampled means becomes normally distributed (bell shaped) as the sample size increases.

Explanation:
According to the Central Limit Theorem, if the mean values for increasing sample sizes are obtained, the distribution of sample means will be normally distributed, even if the individual samples do not have normal distributions.
Typically, sample sizes of 30 or greater are recommended.