High School

We appreciate your visit to A researcher interested in the age at which women have their first child surveyed a simple random sample of 250 women who have one child. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A researcher interested in the age at which women have their first child surveyed a simple random sample of 250 women who have one child. The survey found an approximately normal distribution with a mean age of 27.3 years and a standard deviation of 5.4 years.

According to the 68-95-99.7 rule, approximately 95% of women had their first child between the ages of:

A. 11.1 years and 43.5 years
B. 16.5 years and 38.1 years
C. 21.9 years and 32.7 years
D. 21.9 years and 38.1 years
E. 25.0 years and 29.6 years

Answer :

Final answer:

Applying the 68-95-99.7 rule, also known as the empirical rule in statistics, it is concluded that approximately 95% of women had their first child between the ages of 16.5 and 38.1 years.

Explanation:

The question deals with an application of the 68-95-99.7 rule, also known as the empirical rule in statistics. This rule states that for a normal distribution: 68% of data falls within the first standard deviation from the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

The mean age at which women have their first child is given as 27.3 years, with a standard deviation of 5.4 years. To find the range within which roughly 95% of the women had their first child, we need to add and subtract two times the standard deviation to the mean.

So, we get: 27.3 - 2(5.4) = 16.5 years and 27.3 + 2(5.4) = 38.1 years. Therefore, according to the 68-95-99.7 rule, approximately 95% of women had their first child between the ages of 16.5 and 38.1 years, which corresponds to option (B).

Learn more about 68-95-99.7 rule here:

https://brainly.com/question/32997201

#SPJ11

Thanks for taking the time to read A researcher interested in the age at which women have their first child surveyed a simple random sample of 250 women who have one child. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada