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Why is the central limit theorem used

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Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?

A) What if the size for each sample was increased to 20? Would a sample mean of 115 or more be considered unusual? Why or why not?

B) Why is the Central Limit Theorem used?

Reference no: EM132818374

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