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Answer :
Final answer:
Approximately 95% of women had their first child between the ages of 16.5 years and 38.1 years.
Explanation:
According to the empirical rule, also known as the 68-95-99.7 rule, approximately 95% of the data falls within two standard deviations of the mean in a normal distribution. In this case, the mean age at which women are having their first child is 27.3 years, and the standard deviation is 5.4 years. Therefore, to find the age range in which approximately 95% of the women had their first child, we need to calculate two standard deviations above and below the mean.
Two standard deviations below the mean: 27.3 - (2 * 5.4) = 16.5 years
Two standard deviations above the mean: 27.3 + (2 * 5.4) = 38.1 years
Therefore, approximately 95% of the women had their first child between the ages of 16.5 years and 38.1 years.
Learn more about Empirical Rule here:
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