An admissions director wants to estimate the mean age of allstudents enrolled at a college. The estimate must be within 1 yearsof the population mean. Assume the population of ages is normallydistributed and the population standard deviation is 9.5 years.Determine the minimum sample size required to construct a 80%confidence interval for the population mean age. Determine theminimum sample size required to construct a 95% confidence intervalfor the population mean age. Which level of confidence requires alarger sample size? 80% 95%