what way does the sampling distribution of means for a sample with N =
20 differ from a sampling distribution for a sample with N = 150? How do
these sampling distributions compare to the population distribution?
Thank you for the opportunity to help you with your question!
Having a sampling distribution for a sample with N=20 may sometimes by insufficient to compare to the "actual" mean. The larger the sample size (N), the closer the mean value for the sampling distribution is to the real mean value. There having a sample size of 150 is better than 20.
With regarding to statistics, having a small sample size may lead to high margins or errors, which most often occur due to outliers.
Now, comparing these two sampling distributions to the population distribution, the one with N=150 will be closer to the population distribution than N=20.
Please let me know if you need any clarification. I'm always happy to answer your questions.