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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 lb and a standard deviation of 27 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. A. 200.9 lb B. 187.4 lb C. 173.9 lb D. 214.4 lb

Verified Answer :

you need to substitute.... then do: 160.4(mean)+2(x)*27(z)= 214.4lb

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Answer:

Step-by-step explanation:

We know that \(z=\frac{x-{\mu}}{\sigma}\)            (1)

and also we are given that a person is obese if the z-score of his or her weight is greater than 2.

Thus, using this information we can rewrite the above equation (1),

\(2\geq\frac{x-160.4}{27}\)

Solving this equation, we have

⇒\(54\geq(x-160.4)\)

⇒\(54+160.4\geq x\)

⇒\(214.4\geq x\)

Thus,  the obesity threshold weight for a young adult American male is \(214.4lb\geq x\).

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