Answer :
Final answer:
The application of the Empirical Rule suggests that if the height range of 59.17 to 69.61 inches encompasses one standard deviation from the mean, approximately 68% of adult women in the U.S. would fit within this range.
Explanation:
The question is asking to apply the Empirical Rule, commonly known as the 68-95-99.7 rule, to determine what percentage of adult women in the United States will fit into a vehicle if it only accommodates individuals who are between 59.17 inches and 69.61 inches tall.
According to the Empirical Rule, for any normal distribution:
- About 68% of the data falls within one standard deviation of the mean.
- About 95% falls within two standard deviations.
- About 99.7% falls within three standard deviations.
Without knowing the exact mean and standard deviation of adult women's heights in the U.S., we cannot compute the exact percentage. Typically, though, heights are normally distributed, so we can speculate that the specified range probably encompasses the mean and falls within one standard deviation on either side. Thus, the percentage of women within this range would be approximately 68%.
