Asked by Lacey Johnson on May 12, 2024
Verified
Holding all else constant, as sample size increases, the sampling distribution of the mean ______.
A) becomes flatter
B) has greater variability
C) becomes skewed
D) becomes more peaked
Sampling Distribution
The probability distribution of a statistic based on a large number of samples drawn from a specific population.
Sample Size
The number of individuals or observations included in a subset of a population for the purpose of statistical analysis.
- Gain insight into the concept and crucial role of the sampling distribution of the mean.
- Understand the central limit theorem and its implications for inferential statistics.
Verified Answer
NH
Nathan HuertaMay 17, 2024
Final Answer :
D
Explanation :
As sample size increases, the sampling distribution of the mean becomes more peaked, meaning it becomes more closely centered around the true population mean. This is due to the Central Limit Theorem, which states that as sample size increases, the sampling distribution of the mean becomes more normally distributed.
Learning Objectives
- Gain insight into the concept and crucial role of the sampling distribution of the mean.
- Understand the central limit theorem and its implications for inferential statistics.