The ages of a group of 180 randomly selected adult females have a standard deviation of 16 years. Assume that the ages of female statistics students have less variation than ages of females in the...

The ages of a group of

180
randomly selected adult females have a standard deviation of

16
years. Assume that the ages of female statistics students have less variation than ages of females in the general​ population, so let

σ=16
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

95​%
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?