The ages of a group of 132 randomly selected adult females to have a standard deviation of 16.7 years. Assume that the ages of female statistics students have less variation than ages of females in...

The ages of a group of 132 randomly selected adult females to have a standard deviation of 16.7 years. Assume that the ages of female statistics students have less variation than ages of females in the general​ population, so let σ=16.7 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics​ students? Assume that we want 99​% confidence that the sample mean is within​ one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general​ population?

What is the required sample size is _____