Question

The sampling distribution of the sample mean based on a random sample of size 100 from a significantly right-skewed distribution will have a
Group of answer choices

none of the above

poisson distribution

binomial distribution

right-skewed distribution

normal distribution

Answer 1

The correct answer is: **normal distribution**.

According to the Central Limit Theorem, regardless of the shape of the population distribution (significantly right-skewed in this case), the sampling distribution of the sample mean will tend to be approximately normally distributed as the sample size becomes large. With a sample size of 100, this is generally considered sufficiently large for the sampling distribution of the mean to be approximately normal.