The ages of a group of  153 randomly selected adult females have a standard deviation of  16.3 years. Assume that the ages of female statistics students have less variation than ages of females in the general​ population, so let  σ=16.3 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  90​% 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?

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