Question

The tallest living man at one time had a height of 259 cm. The shortest living man at that time had a height of 65.6 cm. Heights of men at that time had a mean of 172.27 cm and a standard deviation of 8.82 cm. Which of these two men had the height that was more​ extreme?

Answer 1

Answer:

Therefore the shortest man of 65.6 cm was more extreme.

Step-by-step explanation:

A z-test is a statistic test. It is used to determine whether two population mean are different when the variances of the population are known and the sample size large.

$z=\frac{x- \mu}{\sigma}$

z= the standarized z score

x = the height of sample

μ = mean  = 172.27 cm

σ = standard deviation = 8.82 cm

For tallest

x = 259

$z= \frac{259-172.27}{8.82}$

  ≈9.83

For shortest

x= 65.6

$z= \frac{65.6-172.27}{8.82}$

  ≈ - 12.09

The most extreme value has a z score that the furthest from 0.

Since -12.09 is further from 0 than 9.83.

Therefore the shortest man of 65.6 cm was more extreme.