Find the necessary sample size.Weights of women in one age group are normally distributed with a standard deviation of 10.43 kg. A researcher wishes to estimate the mean weight of all women in this age group.Find how large a sample must be drawn in order to be 95% confident (use z=2) that the sample mean will not differ from the population mean by more than 1.30 kg.
Question
Find the necessary sample size.Weights of women in one age group are normally distributed with a standard deviation of 10.43 kg. A researcher wishes to estimate the mean weight of all women in this age group.Find how large a sample must be drawn in order to be 95% confident (use z=2) that the sample mean will not differ from the population mean by more than 1.30 kg.
Solution
Para encontrar el tamaño de muestra necesario, utilizaremos la fórmula para el tamaño de muestra en una estimación de la media poblacional con un nivel de confianza dado. La fórmula es:
[ n = \left( \frac{Z \cdot \
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