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# Comparing Values. In Exercises, use z scores to compare

## Problem 13BSC Chapter 3.4

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition

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Problem 13BSC

Comparing Values. In Exercises, use z scores to compare the given values.

Tallest Man and Woman As of this writing, the tallest living man is Sultan Kosen, who has a height of 247 cm. The tallest living woman is De-Fen Yao, who is 236 cm tall. Heights of men have a mean of 175 cm and a standard deviation of 7 cm. Heights of women have a mean of 162 cm and a standard deviation of 6 cm. Relative to the population of the same gender, who is taller? Explain.

Step-by-Step Solution:

Step 1 of 1 :

Tallest Man and Woman As of this writing, the tallest living man is Sultan Kosen, who has a height of 247 cm.

So x = 247

Heights of men have a mean of 175 cm and a standard deviation of 7 cm.

We know that mean and standard deviation

we have to find the Sultan Kosen z-score.

The formula of the z-score is

z =

Substitute x , and  values.

z =

z =

z = 10.28

z = 10.29

Therefore Sultan Kosen z-score...

Step 2 of 3

Step 3 of 3

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