Question

The Central Limit Theorem says that the standard deviation of the sampling distribution of the sample means is​

Answer 1

Answer:

The central limit theorem states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacemen text annotation indicator, then the distribution of the sample means will be approximately normally distributed.

Answer 2

According to Central Limit Theorem, if the sample size is larger, the sampling distribution of the means becomes closer to normal.

• The standard deviation of the sampling distribution of the means will decrease and it will be almost the same as the standard deviation of X as the sample size increases.
• For an enough large sample size having a finite variance, the mean of the whole population will be approximately equal to the mean of sampled variables from the same sample size.