Question

Use z scores to compare the given values. The tallest living man at one time had a height of 242 cm. The shortest living man at that time had a height of 122.9 cm. Heights of men at that time had a mean of 170.87 cm and a standard deviation of 7.89 cm. Which of these two men had the height that was more extreme? Since the score for the tallest man is ze and tho z score for the shortest man is z- the man had the height that was more extreme (Round to two decimal places.) shortest tallest

Answer 1

ANSWER:

Given

Tallest living man height = 242 cm

shortest living man height =122.9 cm

mean = $\small \mu$ = 170.87 cm

standard deviation = $\small \sigma$ = 7.89 cm

$\small Z=\frac{X-\mu }{\sigma }$

For tallest man:

$\small Z=\frac{242-170.87 }{7.89 }$

Z = 9.0152

For shortest man:

$\small Z=\frac{122.9-170.87 }{7.89 }$

Z = -6.0798

Z score for tallest man is z=  9.0152 and Z score for shortest man is z = -6.0798 the shortest man had the height that was more extreme.

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