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A common design requirement is that an environment must fit the range of people who fall between the 5⁰ 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 21.9 in. and a standard deviation of 1.3 in. Females have sitting knee heights that are normally distributed with a mean of 19.7 in. and a standard deviation of 1.2 in. Use this information to answer the following questions. *** What is the minimum table clearance required to satisfy the requirement of fitting 95% of men? in. (Round to one decimal place as needed.)

A common design requirement is that an environment must fit the range of people who fall between the 5⁰ 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 21.9 in. and a standard deviation of 1.3 in. Females have sitting knee heights that are normally distributed with a mean of 19.7 in. and a standard deviation of 1.2 in. Use this information to answer the following questions. *** What is the minimum table clearance required to satisfy the requirement of fitting 95% of men? in. (Round to one decimal place as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 21.9 in. and a standard deviation of 1.3 in. Females have sitting knee heights that are normally distributed with a mean of 19.7 in. and a standard deviation of 1.2 in. Use this information to answer the following questions. TI What is the minimum table clearance required to satisfy the requirement of fitting 95% of men? in. (Round to one decimal place as needed.)
Transcribed Image Text: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 21.9 in. and a standard deviation of 1.3 in. Females have sitting knee heights that are normally distributed with a mean of 19.7 in. and a standard deviation of 1.2 in. Use this information to answer the following questions. TI What is the minimum table clearance required to satisfy the requirement of fitting 95% of men? in. (Round to one decimal place as needed.)
Expert Solution
Step 1

given data 

men: 

μ = 21.9σ = 1.3 clearance required to sasisfy 95%of mens = ?

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