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Door Peephole Standing eye heights of women are normally

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 2RE Chapter 6.7

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 2RE Problem 2RE

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%?

Step-by-Step Solution:

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%

Step 3 of 3

Chapter 6.7, Problem 2RE is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

The full step-by-step solution to problem: 2RE from chapter: 6.7 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. This full solution covers the following key subjects: Women, height, standing, eye, heights. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. The answer to “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%?” is broken down into a number of easy to follow steps, and 107 words. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. Since the solution to 2RE from 6.7 chapter was answered, more than 471 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12.

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