Chapter 3
Q. 3.28
Marriage Ages
In a recent study, the mean age at which men get married is said to be 26.4 years with a standard deviation of 2 years. The mean age at which women marry is 23.5 years with a standard deviation of 2.3 years. Find the relative positions for a man who marries at age 24 and a woman who marries at age 22.
Step-by-Step
Verified Solution
\begin{aligned}\operatorname{Man} z & =\frac{X-\bar{X}}{s}=\frac{24-26.4}{2}=-1.2 \\\text { Woman } z & =\frac{X-\bar{X}}{s}=\frac{22-23.5}{2.3} \approx-0.65\end{aligned}
In this case, the woman’s age at marriage is relatively higher than the man’s age at marriage.