SUMMARY
The standard deviation of the sample mean for an infinite population can be calculated using the formula for the standard error of the mean. Given a population mean of 160 and a population standard deviation of 25, with a sample size of 64, the standard deviation of the sample mean equals 25 divided by the square root of 64, which is 3.125. This calculation is essential for understanding the variability of sample means in statistical analysis.
PREREQUISITES
- Understanding of standard deviation and mean in statistics
- Familiarity with the concept of sample size and its impact on statistical calculations
- Knowledge of the standard error of the mean
- Basic proficiency in statistical formulas and calculations
NEXT STEPS
- Study the concept of standard error of the mean in detail
- Learn about the Central Limit Theorem and its implications for sample means
- Explore statistical software tools for calculating standard deviations and means
- Review textbooks on inferential statistics for practical examples and exercises
USEFUL FOR
Students in statistics courses, educators teaching statistical concepts, and professionals involved in data analysis and interpretation.