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An assistant to the mayor, who claims to understand statistics, complains about your confidence interval calculation....

An assistant to the mayor, who claims to understand statistics, complains about your confidence interval calculation. She asserts that the dollar losses from burglaries are not normally distributed, which in turn makes the confidence interval calculations meaningless. Assume that she is correct about the distribution of money loss. Why are the calculations of a confidence interval still appropriate? According to the central limit theorem any distribution is considered normal if n is greater than ____. This sample is 500 so the distribution of the sample means will be normal, no matter what the shape of the actual distribution of dollar losses.

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Answer #1

Let us understand what is Central Limit Theorem

As per central limit theorem, distribution of sample mean is also normal if sample size is >30 or if the distribution of population is also normal

Hence answer to the given blank is 30.

According to the central limit theorem any distribution is considered normal if n is greater than 30.

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