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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola
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Comparing Values. In Exercises, use z scores to compare

Chapter 3, Problem 13BSC

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QUESTION:

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.

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QUESTION:

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.

ANSWER:

Answer :

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

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