Question

Women’s heights have a mean of 63.6 in. and a standard deviation of 2.5 inches. The z score corresponding to a woman with a height is 2.56. How tall is the woman?

Answer 1

Answer:

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Explanation:

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Answer 2

Concept :

The mean of the given numbers is computed by dividing the total number of numbers by the sum of the given numbers.

The formula for calculating the score is $z = \frac{x- \mu}{\sigma}$

Given :

The mean  is 63.6 in

The standard deviation is 2.5 in

the given z score is 2.56

Find :

The height of the woman

Solution :

put the given values in the z equation

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

$2.56 = \frac{h-63.6}{2.5} \\h = (2.56*2.5)+63.6\\h = 70$

Hence, the height of the woman is $70$in.