Step 1 :The question is asking for the appropriate null and alternative hypotheses to assess whether women are taller today. The null hypothesis is usually a statement of no effect or no difference. In this case, the null hypothesis would be that the mean height of women today is the same as it was several years ago, which is 63.7 inches. The alternative hypothesis is what we would believe if the null hypothesis is proven to be false. In this case, the alternative hypothesis would be that the mean height of women today is greater than it was several years ago.
Step 2 :Therefore, the correct hypotheses would be: Null hypothesis (\(H_{0}\)): \(\mu=63.7\) in Alternative hypothesis (\(H_{1}\)): \(\mu>63.7\) in
Step 3 :So, the answer is F. \(H_{0}: \mu=63.7\) in versus \(H_{1} \mu>63.7\) in
Step 4 :Final Answer: \(\boxed{F. H_{0}: \mu=63.7 \text{ in} \text{ versus } H_{1} \mu>63.7 \text{ in}}\)