Asked by Micah Johnson on May 06, 2024
Verified
What is the sufficient sample size to use for the central limit theorem?
A) at least 25
B) at least 26
C) at least 30
D) at least 31
Central Limit Theorem
A statistical principle stating that with a large enough sample size, the distribution of the sample means will be approximately normally distributed, regardless of the population's distribution.
Sample Size
The number of observations or data points selected from a population for statistical analysis.
- Understand the significance of sample size in statistical analysis.
Verified Answer
LO
lydia okrahMay 12, 2024
Final Answer :
C
Explanation :
The generally accepted rule of thumb is that the sample size should be at least 30 in order for the central limit theorem to apply. This is because with a sample size of 30 or greater, the sample mean will be approximately normally distributed even if the underlying population is not normal. Therefore, choice C (at least 30) is the best choice.
Learning Objectives
- Understand the significance of sample size in statistical analysis.