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7 - a) The Central Limit Theorem is one of the most important theorems in Statistics What does it tell us about the sampling distribution

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7 - a) The Central Limit Theorem is one of the most important theorems in Statistics What does it tell us about the sampling distribution and sample mean? b) Use the CLT to solve this problem: An unknown distribution has a mean of 45 and a standard deviation of eight. Samples of size n = 30 are drawn randomly from the population. Find the probability that the sample mean is between 42 and 50

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