High School

James is 5′2″ (62 inches) tall. Given that the average height for men is 69.0″ with a standard deviation of 2.8″, determine if James is relatively taller or shorter than Susan.

- Susan is shorter than James, but James is relatively shorter than Susan.
- Susan is both shorter and relatively shorter than James.

Assume weights of adult males in the US are approximately normally distributed with a mean of 195 lbs and a standard deviation of 30 lbs. According to the Empirical Rule, approximately what percent of males weigh between 135 and 255 lbs?

Answer :

Final answer:

James is relatively shorter than Susan. Approximately 68% of males weight between 135 and 255 lbs.

Explanation:

To determine if James is relatively taller or shorter than Susan, we need to compare their heights with respect to the average height for men. James is 62 inches tall, whereas the average height for men is 69 inches. Since James is shorter than the average height, we can conclude that he is relatively shorter than Susan as well.

To calculate the percentage of males weighing between 135 and 255 lbs, we can use the Empirical Rule. According to the Empirical Rule, approximately 68% of data falls within one standard deviation of the mean, 95% of data falls within two standard deviations of the mean, and 99.7% of data falls within three standard deviations of the mean, assuming a normal distribution. Therefore, approximately 68% of males weight between 135 and 255 lbs.

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