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A subscription literary magazine would like to profile their subscribers by mailing a questionnaire to a random sample of their subscribers. In particular, they would

A subscription literary magazine would like to "profile" their subscribers by mailing a questionnaire to a random sample of their subscribers. In particular, they would like to determine an estimate of the average income of their subscribers to the nearest $1,000 with 99% confidence. The standard deviation of the distribution of their subscribers' incomes is believed to be at most $5,000. Determine a conservative estimate of the required sample size

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