Name Gul Mohammed (1957-1997), who stood at 22.5 inches, is the shortest person
ID: 3376101 • Letter: N
Question
Name Gul Mohammed (1957-1997), who stood at 22.5 inches, is the shortest person whose existence and height have been independently verified. Hailing from New Delhi, India, he passed away after a long struggle with asthma and bronchitis due to his heavy smoking habit. He was said to have been too short to leap over the gullies and sewers of the New Delhi slums and had to be carried across by obliging passers-by Robert Pershing Wadlow (1918-1940) was the tallest person in history for whom there is irrefutable evidence. Born a healthy 8 pound 6 ounces, in Alton Illinois, he grew at a rapid pace and at the age of eight he was a whopping 6 feet and 2 inches and 195 pounds. His extraordinary height was attributed to an overactive pituitary gland, which produced an excess of the growth hormone. He is pictured above with his father, who stood just short of six feet. Wadlow reached a towering 8 feet and 11 inches and weighed 485 lbs. at his death of the age of 22 from complications due to his condition. 1. a.) Assume that heights of men are normally distributed, with a mean of 69.5 inches and a standard deviation of 2.4 inches. Find the z-scores (not the areas) for these two remarkable men at the time of their deaths. b.) Could you argue that one man is "more unusual" than the other, based on their z-scores?Explanation / Answer
Calculation of z-score:
a) Tall man: z = (x-u)/s
z = (107-69.5)/2.4
z = 37.5/2.4 = 15.62
Short man: z = (22.5 - 69.5) / 2.4 = -19.58
B) We could say that the short man was more unusual than the tall man as:
|z (short man)| > |z (tall man|
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