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please explain each step A statistics professor would like to estimate a population mean to within 40 units with 99% confidence given that the pop

please explain each step

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A statistics professor would like to estimate a population mean to within 40 units with 99% confidence given that the pop standard deviation is 200. a) What sample size should be used? b) What sample size should be used if the standard deviation is changed to 100? c) What sample size should be used if using a 95% confidence level

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