Question: 1. Definition: Define a sampling distribution. How does it differ from the population distribution? 2. Central Limit Theorem: Explain the Central Limit Theorem. Why is

1. Definition: Define a sampling distribution. How does it differ from the population distribution? 2. Central Limit Theorem: Explain the Central Limit Theorem. Why is it important in statistics? 3. Sample Mean Distribution: Suppose the population mean () is 50 and the population standard deviation () is 10. If a random sample of 25 observations is taken, what is the mean and standard deviation of the sampling distribution of the sample mean? 4. Application: If the population is not normally distributed, under what circumstances can we assume the sample mean is approximately normally distributed

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