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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 21.3 in. and a standard deviation of 1.2 in. Females have sitting knee heights that are normally distributed with a mean of 19.1 in. and a standard deviation of 1.1 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 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 21.3 in. and a standard deviation of 1.2 in. Females have sitting knee heights that are normally distributed with a mean of 19.1 in. and a standard deviation of 1.1 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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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 21.3 in. and a standard deviation of 1.2 in. Females have sitting knee heights that are normally distributed with a mean of 19.1 in. and a standard deviation of 1.1 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.)
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 21.3 in. and a standard deviation of 1.2 in. Females have sitting knee heights that are normally distributed with a mean of 19.1 in. and a standard deviation of 1.1 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 survey found that women's heights are normally distributed with mean 63.2 in. and standard deviation 2.1 in. The survey also found that men's heights are normally distributed with mean 67.5 in. and standard deviation 3.9 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 64 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is %. (Round to two decimal places as needed.)
Transcribed Image Text:A survey found that women's heights are normally distributed with mean 63.2 in. and standard deviation 2.1 in. The survey also found that men's heights are normally distributed with mean 67.5 in. and standard deviation 3.9 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 64 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is %. (Round to two decimal places as needed.)
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