Question

3)

The height of an adult male in the United States is approximately normally distributed with a mean of 69.3 inches and a standard deviation of 2.8 inches.

Find the percentile P_{90} for the heights of adult
males in the United States.

**Provided your answer in inches, rounded to 2 decimal
places.**

Answer #1

Given,

= 69.3 , = 2.8

We convert this to standard normal as

P(X < x) = P(Z < ( x - ) / )

P90 = P(X < x) = 0.90

P(Z< ( x - ) / ) = 0.90

From Z table, z-score for the probability of 0.90 is 1.2816

( x - ) / = 1.2816

(X - 69.3) / 2.8 = 1.2816

Solve for X

**X = 72.89**

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Round Answer to 4 decimal places.
2. The height of an adult male in the United States is
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