The weight of male Americans between the ages of 18 and 25 is normally distributed with a mean of 160.4 pounds?and a standard deviation of 27 pounds. One definition of obesity states that a person is obese if the z-score of his weight is greater than 2.
What is the obesity threshold weight, in pounds, for a young adult American male? Round your answer to the nearest tenth.
Eric S
Since we know that:
z = (x-μ)/σ
By subsitution, we can rewrite the equation as:
2 ≥ (x-160.4)/27
Solving fo x, we get:
214.4 ≥ x
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The weight of male Americans between the ages of 18 and 25 is normally distributed with a mean of 160.4 pounds?
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