Acheese processing company wants to estimate the mean cholesterol content of all one-ounce servings of a type of cheese. the estimate must be within 0.67 milligram of the population mean. (a) determine the minimum sample size required to construct a 95% confidence interval for the population mean. assume the population standard deviation is 3.18 milligrams. (b) the sample mean is 25 milligrams. using the minimum sample size with a 95% level of confidence, does it seem likely that the population mean could be within 3% of the sample mean? within 0.3% of the sample mean? explain.