The Sample Mean is a Consistent Estimator of the Population Mean

In random sampling, the sample mean statistic is a consistent estimator of the population mean parameter. Not only is the sample mean an unbiased estimator for the population mean, but the variance of the sample mean approaches zero as the sample size n goes to infinity. The sampling distribution of the sample mean is centered on the population mean and its variance gets smaller and smaller as the sample size gets larger and larger.

🔴 Unbiased Estimator: The Mean of the Mean is the Mean, and I Mean It!:    • Unbiased Estimator: The Mean of the M...  

🔴 I recommend "Probability & Statistics with Applications: A Problem Solving Text", 2nd Edition, by Leonard Asimow: https://amzn.to/2ZtyS4T

Links and resources
===============================
🔴 Subscribe to Bill Kinney Math: https://www.youtube.com/user/billkinn...
🔴 Subscribe to my Math Blog, Infinity is Really Big: https://infinityisreallybig.com/
🔴 Follow me on Twitter:   / billkinneymath  
🔴 Follow me on Instagram:   / billkinneymath  
🔴 You can support me by buying "Infinite Powers, How Calculus Reveals the Secrets of the Universe", by Steven Strogatz, or anything else you want to buy, starting from this link: https://amzn.to/3eXEmuA.
🔴 Check out my artist son Tyler Kinney's website: https://www.tylertkinney.co/


AMAZON ASSOCIATE
As an Amazon Associate I earn from qualifying purchases.