The ages of a group of 149 randomly selected adult females have a standard deviation of 17.8 years. Assume that the ages of female statistics students have less variation than ages of females in the...

The ages of a group of

randomly selected adult females have a standard deviation of

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

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

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?

The required sample size is

​(Round up to the nearest whole number as​ needed.)

Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general​ population?