E Homework: Section 6.1 Homework Question 14, 6.1.49 HW Score: 94.12%, 16 of 17 points Part 2 of 2 x 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 0.83 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 3.16 milligrams. (b) The sample mean is 28 milligrams. Using the minimum sample size with a 95% level of confidence, does it seem likely that the population mean could be within 4% of the sample mean? within 0.4% 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 56 servings. (Round up to the nearest whole number.) (b) The 95% confidence interval is (], ). it seem likely that the population mean could be within 4% of the sample mean because 4% off from the sample mean would fall the confidence interval. It seem likely that the population mean could be within 0.4% of the sample mean because 0.4% off from the sample mean would fall the confidence interval. (Round to two decimal places as needed.) X Vi VI More Help Me Solve This View an Example Get More Help Media Clear All Check