Exercise 5 (6 points) Tallest and Shortest Men - The tallest living man at the t
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Question
Exercise 5 (6 points) Tallest and Shortest Men - The tallest living man at the time of this writing is Sultan Kosen, who has a height of 251 cm. The shortest living man is Chandra Bahadur Dangi, who has a height of 54.6 cm. Heights of men have a mean of 174.12 cm and a standard deviation of 7.10 cm. Find the z-score for both of these men. Which of these two men has the height that is more extreme? Show your Work. Exercise 5 (6 points) Tallest and Shortest Men - The tallest living man at the time of this writing is Sultan Kosen, who has a height of 251 cm. The shortest living man is Chandra Bahadur Dangi, who has a height of 54.6 cm. Heights of men have a mean of 174.12 cm and a standard deviation of 7.10 cm. Find the z-score for both of these men. Which of these two men has the height that is more extreme? Show your Work.Explanation / Answer
Mean ( u ) =174.12
Standard Deviation ( sd )=7.1
Normal Distribution = Z= X- u / sd ~ N(0,1)
a.
P(X = 54.6) = (54.6-174.12)/7.1
= -119.52/7.1= -16.8338
b.
P(X = 251) = (251-174.12)/7.1
= 76.88/7.1 = 10.8282
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