Math-K300 Spring 2022 Online Kierstyn Cochran 03/13/22 1:24 PM Homework: Section 6.1 Confidence Intervals for Question 17, 6.1.50 HW Score: 81.06%, 18.64 of 23 points the Mean (si Part 1 of 2 Points: 0.14 of 1 Save An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.6 years of the population mean. Assume the population of ages is normally distributed. (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 1.8 years. (b) The sample mean is 21 years of age. Using the minimum sample size with a 90% level of confidence, does it seem likely that the population mean could be within 10% of the sample mean? within 11% of the sample mean? Explain. Click here to view page 1 of the Standard Normal Table. Click here to view page 2 of the Standard Normal Table. (a) The minimum sample size required to construct a 90% confidence interval is students. (Round up to the nearest whole number.)