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The weight of male Americans between the ages of 18 and 25 is normally distributed, with a mean of 164.5 lb and a standard deviation of 26 lb. One definition of obesity states that a person is obese if the z-score of his or her weight is greater than 2. What is the obesity threshold weight for a young adult American male? Round your answer to the nearest tenth.

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Answer:

X>216.5 pounds

Step-by-step explanation:

Let X represent the weight of male Americans between the ages of 18 and 25.

X is normally distributed, with a mean of 164.5 lb and a standard deviation of 26 lb.

A person is obese if the z-score of his or her weight is greater than 2

Let us find out corresponding X score for z=2[tex]X=2(std dev)+Mean=2(26)+164.5\\216.5[/tex]

Thus  a person can be considered as obese if his weight exceeds 216.5 pounds.

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