18. A recent article claimed that women are waiting longer to have their first
child. The article estimates that the average age of first-time mothers is 26 years
old, which is up from 21 years old in 1970. The margin of error for the estimate
was 1.5 years. Based on the estimate and the margin of error, which of the
following is an appropriate conclusion?
(A) 95% of the women in the study were 26 years old when they had their first child.
(B) The age of every first-time mother in the sample must have been between 24.5 and
27.5 years old.
(The age of every first-time mother in the sample must have been between 23 and
29 years old.
(D) This study proves that women are waiting longer to have their first child.
(E) It is plausible that the average age of first-time mothers is 27 years old.

The margin of error of 1.5 years indicates that we are confident the population mean age is captured i. The interval 26-1.5=24.5 to 26+1.5=27.5 years old. Therefore, it is plausible that the average age of first time mothers is 27 years old.

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pstnonsonjoku pstnonsonjoku · Answer 2 · 2022-04-28T13:50:31+02:00

The age of every first-time mother in the sample must have been between 24.5 and 27.5 years old since the margin of error is ± 1.5.

What is margin of error?

The marging of error determines the reliability of the results. If a study has a very wide margin of error, it means that te results are not reliable hence can not be used for decision making.

What we can glean from the statement is that; the age of every first-time mother in the sample must have been between 24.5 and 27.5 years old since the margin of error is ± 1.5.

Learn more about margin of error: https://brainly.com/question/14227610