Question

human heights are one of the. many biological random variables that can be modeled by a normal distribution. assume the heights of American men have a mean of. 176.5 cm and a standard deviation of 8.9 cm. a man is considered short if his height falls below the smallest 5% of all men heights. provide a scale to check if a given man's height is considered short.

Answer 1

X :  heights of American men.

X ~ N(176.5 , 8.9)

let a be the height considered short if his height falls below the smallest 5% of all men heights.

according to the problem:-

[ in any blank cell of excel type NORMSINV(0.05) ]

a man is considered short if his height falls below 161.86 cm.

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