Question: What is the difference between a distribution of a population, a distribution of a sample, and a sampling distribution? How is sample size related to

  • What is the difference between a distribution of a population, a distribution of a sample, and a sampling distribution?
  • How is sample size related to normal distribution?
  • How is the Central Limit Theorem related to a normal distribution? Explain how the theorem relates to the shape, central tendency, and variability for the distribution of the sample means.
  • How does sample size affect the shape of the sampling distribution of the mean? What is the effect of sample size on the variance? What is the effect on the variance of doubling the sample size? For example, if the sample size goes from N = 5 to N = 10.

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