The ages of a group of 160 randomly selected adult females have a standard deviation of 16.9 years. Assume that the ages of female statistics students have lessvariation than ages of females in the general population, so let a 16.9 years for the sample size calculation. How many female statistics student ages must beobtained 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 thepopulation 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.)