The ages of a group of
149
randomly selected adult females have a standard deviation of
17.5
years. Assume that the ages of female statistics students have less variation than ages of females in the general population, so let
sigma
equals17.5years 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?
Solution :
Z/2 = Z0.025 = 1.96
sample size = n = [Z/2* / E] 2
n = [1.96 * 17.5 / 0.5 ]2
n = 4705.96
Sample size = n = 4706
Yes,because statistic students are typically younger than people in the general population.
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