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9#Suppose that the heights of adult women in the United States are normally distributed with a mean of 65 inches and a standard deviation of 2.5 inches. Yolanda is taller than 75% of the population of U.S. women. How tall (in inches) is Yolanda? Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.

User Alex Botev
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1 Answer

5 votes

ANSWER:

66.7 inches

Explanation:

Given:

Mean (µ)= 65

Standard deviation (σ) = 2.5

We must calculate the value of z that represents 75% with the help of the normal table, just like this:

Therefore, z is approximately 0.675

Calculate Yolanda's height using the following formula:


\begin{gathered} z=(x-µ)/(σ) \\ \\ \text{ We replacing:} \\ \\ 0.675=(x-65)/(2.5) \\ \\ x=0.675\cdot2.5+65 \\ \\ x=66.7\text{ in} \end{gathered}

Yolanda's height is 66.7 inches

9#Suppose that the heights of adult women in the United States are normally distributed-example-1
User Jorge Poveda
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