Door Peephole Standing eye heights of women are normally distributed with a mean of 1516 mm and a standard deviation of 63 mm (based on anthropométrie survey data from Gordon, Churchill, et al.).

a. A door peephole is placed at a height that is uncomfortable for women with standing eye heights greater than 1605 mm. What percentage of women will find that height uncomfortable?

b. In selecting the height of a door peephole, the architect wants its height to be suitable for the highest 99% of standing eye heights of women. What standing eye height of women separates the highest 99% of standing eye heights from the lowest 1%?

Answer

Step 1 of 3</p>

Given mean= 1516 , SD=63

z = (X-Mean)/SD

Step 2of 3

a) Here the problem is to find what percentage of women with standing eye heights greater than 1605 mm.

z = (1605-1516)/63 = 1.41

Required percentage = P(X > 1605) * 100

= P(z > 1.41) * 100

= 0.0793 * 100

= 7.93%