Asked by Cherrell Briscoe on Sep 29, 2024
The sample mean 
is a consistent estimator of the population mean μ.
Sample Mean
The mean of a collection of numbers, determined by summing all the numbers in the set and then dividing by the count of the numbers.
Population Mean
The average of a set of characteristics (such as age, weight) of every member of a population.
Consistent Estimator
A statistical property of an estimator indicating that as the sample size grows, the estimator converges in probability to the parameter being estimated.
- Identify how the magnitude of the sample size affects the veracity of estimative outcomes.
- Clarify the definitions of both consistency and unbiasedness in the context of estimators, emphasizing how they differ.
Learning Objectives
- Identify how the magnitude of the sample size affects the veracity of estimative outcomes.
- Clarify the definitions of both consistency and unbiasedness in the context of estimators, emphasizing how they differ.