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Window Placement Standing eye heights of men are normally
Chapter 6, Problem 3RE(choose chapter or problem)
Standing eye heights of men are normally distributed with a mean of 1634 mm and a standard deviation of 66 mm (based on anthropométrie survey data from Gordon, Churchill, et al.).
a. If a window is positioned so that it is comfortable for men with standing eye heights greater than 1500 mm, what percentage of men will find that height comfortable?
b. A window is positioned to be comfortable for the lowest 95% of eye heights of men. What standing eye height of men separates the lowest 95% from the highest 5%?
Questions & Answers
QUESTION:
Standing eye heights of men are normally distributed with a mean of 1634 mm and a standard deviation of 66 mm (based on anthropométrie survey data from Gordon, Churchill, et al.).
a. If a window is positioned so that it is comfortable for men with standing eye heights greater than 1500 mm, what percentage of men will find that height comfortable?
b. A window is positioned to be comfortable for the lowest 95% of eye heights of men. What standing eye height of men separates the lowest 95% from the highest 5%?
ANSWER:Step 1 of 2
Given Window Placement Standing eye heights of men are normally distributed with a mean of 1634 mm and a standard deviation of 66 mm.
So mean \(\mu=1634\) and standard deviation \(\sigma=66\)
a). If a window is positioned so that it is comfortable for men with standing eye heights greater than 1500 mm.
So \(x=1500\)
Then we have to find the percentage of men who will find that height comfortable.