Question: How large a sample size is needed to estimate the mean annual income of Native Americans correct to within $1,000 with probability 0.99? Suppose there

How large a sample size is needed to estimate the mean annual income of Native Americans correct to within $1,000 with probability 0.99? Suppose there is no prior information about the standard deviation of annual income of Native Americans, but we guest that about 95% of their incomes are between $6,000 and $50,000 and that this distribution of incomes is approximately mound shaped.

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