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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.
  • Select two of the following sample sizes: 2, 5, 10, 16, 20, or 25. Click the 'fit normal' button so that you can see the normal distribution. You will need to take a screen shot of both of the sample sizes chosen and place them into your assignment.
  • 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 (Compare N = 5 to N = 10)?

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