Asked by Gianna Fischetti on May 04, 2024

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If all possible samples of size n are drawn from a normal population,the probability distribution of the sample mean If all possible samples of size n are drawn from a normal population,the probability distribution of the sample mean   is an normal distribution. is an normal distribution.

Normal Population

A statistical term referring to a population that follows a normal distribution where a large number of instances are clustered around the mean.

Probability Distribution

This mathematical method determines the chances of various results happening in an experiment.

Sample Mean

The average value of a sample, calculated by summing all observations and dividing by the number of observations.

  • Gain an understanding of the central limit theorem and its significance for the behavior of sample mean distributions.
  • Understand the association between parameters of a population and characteristics of sampling distributions.
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TN
Toonaratch NiemkhamMay 08, 2024
Final Answer :
True
Explanation :
This is a well-known property of the sample mean in a normal distribution, known as the Central Limit Theorem. As the sample size increases, the distribution of the sample mean approaches a normal distribution regardless of the distribution of the population itself.