Final answer:
The truth of the statement about the mean height of American women requires a specific statistical study for verification. The related information provided suggests a discussion about inferential statistics, which deals with means, standard deviations, and sample sizes to make conclusions about the population.
Step-by-step explanation:
The question regarding the mean height of American women in their early 20s being 64.5 inches is a statement that assumes a factual basis about a population's measures. This kind of statement is typically associated with data related to statistics and would fall under the subject matter of Mathematics. The actual truth of the statement would require reference to a specific statistical study or dataset. Without clear reference to such data, we cannot definitively declare the statement to be true or false herein.
However, considering the other information provided which revolves around means, standard deviations, and sample sizes, this issue closely relates to inferential statistics, a topic typically covered in high school and college-level statistics courses.For example, knowing the sample mean, the standard deviation, and using a sample size can help us to determine if a sample is consistent with a known population parameter (such as the mean height) through hypothesis testing and confidence intervals.The statement is False. The mean height of American women in their early 20s is 64.5 inches. This means that on average, American women in their early 20s have a height of 64.5 inches. It does not imply that all American women in their early 20s have this exact height. Some women may be taller, while others may be shorter.