a cheese processing company wants to estimate the mean cholesterol content of all one-ounce servings of a type of cheese. the estimate must be within milligram of the population mean. (a) determine the minimum sample size required to construct a % confidence interval for the population mean. assume the population standard deviation is milligrams. (b) the sample mean is milligrams. using the minimum sample size with a % level of confidence, does it seem likely that the population mean could be within % of the sample mean? within % of the sample mean? explain