The weight of male american between the ages 18 to

Ответ:

jamarstand

06.01.2022

218.7 lb.

Step-by-step explanation:

We have been given that the weight of male american between the ages 18 to 25 is normally distributed, with mean of 162.7 lb and a standard deviation of 28 lb.

One definition of obesity states that a person is obese if the z-score of his or her weight is greater than 2.

We will use z-score formula to solve our given problem.

$z=\frac{x-\mu}{\sigma}$ , where,

$z=\text{ z-score}$ ,

$x=\text{ Random sample-score}$ ,

$\mu=\text{ Mean}$ ,

$\sigma=\text{ Standard deviation}$ .

Upon substituting our given values in z-score formula we will get,

$2=\frac{x-162.7}{28}$

Now let us solve for x.

Upon multiplying both sides of our equation by 28 we will get,

$2*28=\frac{x-162.7}{28}*28$

56=x-162.7

Let us add 162.7 to both sides of our equation.

56+162.7=x-162.7+162.7

218.7=x

Therefore, the obesity threshold weight for a young adult American male is 218.7 pounds.

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