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3. We are interested in estimating the mean annual income of adults in Sweetwater County. To...

3. We are interested in estimating the mean annual income of adults in Sweetwater County. To accomplish this, we select a random sample of 65 adults residing in the county. We find that the sample mean is $47,250, and we know from the previous studies that the population standard deviation is $3,555. a) Calculate a 95% confidence interval for the population mean, and interpret the result. B) Calculate a 99% confidence interval for the population mean, and interpret the result. c) If the margin of error (maximum error of estimate) is reduced to $650, what should be the required sample size? Assume the confidence level is 95%.

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