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A social worker is concerned about the number of prescriptions her elderly clients have.She would like to create a 99% confidence interval for the mean

A social worker is concerned about the number of prescriptions her elderly clients have.She would like to create a 99% confidence interval for the mean number of prescriptions per client with a maximum error of 2 prescriptions. Assuming a standard deviation of 5.2 prescriptions, what is the minimum number of clients she must sample?

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