Final answer:
The weight of male Americans between the ages of 18 and 25 is normally distributed with a mean of 162.7 pound and a standard deviation of 28 pound, the obesity threshold weight for young adult American males is 218.7 pounds.
Step-by-step explanation:
The obesity threshold weight for young adult American males can be calculated using the concept of z-scores. A z-score represents the number of standard deviations a data point is away from the mean. In this case, we need to find the weight that corresponds to a z-score greater than two.
Using the formula for z-score: z = (x - mean) / standard deviation, we can rearrange it to solve for x (the weight): x = z * standard deviation + mean.
So, x = 2 * 28 + 162.7 = 218.7 pounds (rounded to the nearest tenth).
So therefore the obesity threshold weight for young adult American males is 218.7 pounds.