Asked by Charldon Boshoff-Mostert on Sep 28, 2024
The standard error of the mean:
A) is never larger than the standard deviation of the population.
B) decreases as the sample size increases.
C) measures the variability of the mean from sample to sample.
D) All of these choices are true.
Standard Error
A statistical measure that quantifies the variability or precision of a sample statistic estimate of a population parameter.
Standard Deviation
A measure that quantifies the spread or variability among a set of data points compared to the average, showcasing the extent to which these points diverge.
Sample Size
Sample size refers to the number of observations or data points collected from a subset of a larger population for the purpose of statistical analysis.
- Determine the impact of sample size on the sampling distribution and the standard error.
- Derive the standard error of the mean from samples obtained from infinitely large or significantly sized populations.
Learning Objectives
- Determine the impact of sample size on the sampling distribution and the standard error.
- Derive the standard error of the mean from samples obtained from infinitely large or significantly sized populations.