A sample is chosen randomly from a population that was strongly skewed to the right.Describe the sampling distribution model for the sample mean if the sample size is small.
A)Skewed right,centre at ?,standard deviation ?/ $\sqrt { n }$
B)Normal,centre at ?,standard deviation $\sqrt { \sigma / n }$
C)There is not enough information to describe the sampling distribution model.
D)Normal,centre at ?,standard deviation ?/ $\sqrt { n }$
E)Skewed right,centre at ?,standard deviation $\sqrt { \sigma / n }$

Question

Quizplus · Accepted Answer

For a small sample size from a population that is strongly skewed to the right, the sampling distribution of the sample mean will also be skewed to the right. The central limit theorem, which would suggest normality, applies only to larger sample sizes. The mean of the sampling distribution is μ, and the standard deviation is σ/√n, reflecting the distribution of sample means around the population mean with reduced variability compared to the original population.

A Sample Is Chosen Randomly from a Population That Was n\sqrt { n }n​

A Sample Is Chosen Randomly from a Population That Was $\sqrt { n }$