Math-K300 Spring 2022 Online Kierstyn Cochran 03/13/22 1:22 PM Homework: Section 6.1 Confidence Intervals for Question 16, 6.1.49 HW Score: 80.43%, 18.5 of 23 points the Mean (si Part 1 of 2 O Points: 0 of 1 Save 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 0.81 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 3.14 milligrams. (b) The sample mean is 32 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. 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 servings. (Round up to the nearest whole number.)