A cheese processing company wants to estimate the mean cholesterol content of all oneounce servings of a type of cheese. The estimate must be within 0.75 milligram of the population mean. (a) Determine the minimum sample size required to construct a 95% condence interval for the population mean. Assume the population standard deviation is 3.10 milligrams. (b) The sample mean is 30 milligrams. Using the minimum sample size with a 95% level of condence, does it seem likely that the population mean could be within 3% of the sample mean? within 0.3% of the sample mean? Explain. Click here to view page 1 of the Standard Normal Table. Click here view page 2 of the Standard Normal Table. (a) The minimum sample size required to construct a 95% confidence interval is 66 servings. (Round up to the nearest whole number.) (b) The 95% condence interval is ( , ). lt V likely that the population mean could be within 3% of the sample mean because the interval formed by the values 3% away from the sample mean VI the condence interval. lt V seem likely that the population mean could be within 0.3% of the sample mean because the interval formed by the values 0.3% away from the sample mean V the confidence interval. (Round to two decimal places as needed.)