A common design requirement is that an environment must fit the range of people who fall between the 5th percentile for women and the 95th percentile for men. In designing an assembly work table, the sitting knee height must be considered, which is the distance from the bottom of the feet to the top of the knee. Males have sitting knee heights that are normally distributed with a mean of 21.2 in. and a standard deviation of 1.2 in. Females have sitting knee heights that are normally distributed with a mean of 19.3 in. and a standard deviation of 1.1 in. Use this information to answer the following questions. Question content area bottom Part 1 What is the minimum table clearance required to satisfy the requirement of fitting 95% of men? enter your response here in. (Round to one decimal place as needed.) Part 2 Determine if the following statement is true or false. If there is clearance for 95% of males, there will certainly be clearance for all women in the bottom 5%. A. The statement is false because the 95th percentile for men is greater than the 5th percentile for women. B. The statement is true because the 95th percentile for men is greater than the 5th percentile for women. C. The statement is true because some women will have sitting knee heights that are outliers. D. The statement is false because some women will have sitting knee heights that are outliers. Part 3 The author is writing this exercise at a table with a clearance of 23.9 in. above the floor. What percentage of men fit this table? enter your response here% (Round to two decimal places as needed.)
A common design requirement is that an environment must fit the range of people who fall between the 5th percentile for women and the 95th percentile for men. In designing an assembly work table, the sitting knee height must be considered, which is the distance from the bottom of the feet to the top of the knee. Males have sitting knee heights that are normally distributed with a mean of 21.2 in. and a standard deviation of 1.2 in. Females have sitting knee heights that are normally distributed with a mean of 19.3 in. and a standard deviation of 1.1 in. Use this information to answer the following questions. Question content area bottom Part 1 What is the minimum table clearance required to satisfy the requirement of fitting 95% of men? enter your response here in. (Round to one decimal place as needed.) Part 2 Determine if the following statement is true or false. If there is clearance for 95% of males, there will certainly be clearance for all women in the bottom 5%. A. The statement is false because the 95th percentile for men is greater than the 5th percentile for women. B. The statement is true because the 95th percentile for men is greater than the 5th percentile for women. C. The statement is true because some women will have sitting knee heights that are outliers. D. The statement is false because some women will have sitting knee heights that are outliers. Part 3 The author is writing this exercise at a table with a clearance of 23.9 in. above the floor. What percentage of men fit this table? enter your response here% (Round to two decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A common design requirement is that an environment must fit the range of people who fall between the
normally distributed with a mean of
5th
percentile for women and the
95th
percentile for men. In designing an assembly work table, the sitting knee height must be considered, which is the distance from the bottom of the feet to the top of the knee. Males have sitting knee heights that are 21.2
in. and a standard deviation of
1.2
in. Females have sitting knee heights that are normally distributed with a mean of
19.3
in. and a standard deviation of
1.1
in. Use this information to answer the following questions.Question content area bottom
Part 1
What is the minimum table clearance required to satisfy the requirement of fitting 95% of men?
enter your response here
in. (Round to one decimal place as needed.)Part 2
Determine if the following statement is true or false. If there is clearance for 95% of males, there will certainly be clearance for all women in the bottom 5%.
The statement is false because the 95th percentile for men is greater than the 5th percentile for women.
The statement is true because the 95th percentile for men is greater than the 5th percentile for women.
The statement is true because some women will have sitting knee heights that are outliers.
The statement is false because some women will have sitting knee heights that are outliers.
Part 3
The author is writing this exercise at a table with a clearance of
23.9
in. above the floor. What percentage of men fit this table?enter your response here%
(Round to two decimal places as needed.)Part 4
What percentage of women fit this table?
enter your response here%
(Round to two decimal places as needed.)Part 5
Does the table appear to be made to fit almost everyone? Choose the correct answer below.
The table will fit only
1%
of men.The table will only fit 1% of women.
The table will fit almost everyone except about
1%
of men with the largest sitting knee heights.Not enough information to determine if the table appears to be made to fit almost everyone.
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