Seat Designs. In Exercises 13–20, use the data in the table below for sitting adult males and females (based on anthropometric survey data from Gordon, Churchill, et al.). These data are used often in the design of different seats, including aircraft seats, train seats, theater seats, and classroom seats. (Hint: Draw a graph in each case.) Sitting Back-to-Knee Length (inches) Мean St. Dev. Distribution Males 23.5 in. 1.1 in. Normal Females 22.7 in. 1.0 in. Normal 13. Find the probability that a male has a back-to-knee length less than 21 in. 14. Find the probability that a female has a back-to-knee length greater than 24.0 in. 15. Find the probability that a female has a back-to-knee length between 22.0 in. and 24.0 in. 16. Find the probability that a male has a back-to-knee length between 22.0 in. and 24.0 in.

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Seat Designs. In Exercises 13–20, use the data in the table below for sitting adult males
and females (based on anthropometric survey data from Gordon, Churchill, et al.). These
data are used often in the design of different seats, including aircraft seats, train seats,
theater seats, and classroom seats. (Hint: Draw a graph in each case.)
Sitting Back-to-Knee Length (inches)
Mean
St. Dev.
Distribution
Males
23.5 in.
1.1 in.
Normal
Females
22.7 in.
1.0 in.
Normal
13. Find the probability that a male has a back-to-knee length less than 21 in.
14. Find the probability that a female has a back-to-knee length greater than 24.0 in.
15. Find the probability that a female has a back-to-knee length between 22.0 in. and 24.0 in.
16. Find the probability that a male has a back-to-knee length between 22.0 in. and 24.0 in.
17. For males, find P90, which is the length separating the bottom 90% from the top 10%.
18. For females, find the first quartile Q1, which is the length separating the bottom 25% from
the top 75%.
Transcribed Image Text:Seat Designs. In Exercises 13–20, use the data in the table below for sitting adult males and females (based on anthropometric survey data from Gordon, Churchill, et al.). These data are used often in the design of different seats, including aircraft seats, train seats, theater seats, and classroom seats. (Hint: Draw a graph in each case.) Sitting Back-to-Knee Length (inches) Mean St. Dev. Distribution Males 23.5 in. 1.1 in. Normal Females 22.7 in. 1.0 in. Normal 13. Find the probability that a male has a back-to-knee length less than 21 in. 14. Find the probability that a female has a back-to-knee length greater than 24.0 in. 15. Find the probability that a female has a back-to-knee length between 22.0 in. and 24.0 in. 16. Find the probability that a male has a back-to-knee length between 22.0 in. and 24.0 in. 17. For males, find P90, which is the length separating the bottom 90% from the top 10%. 18. For females, find the first quartile Q1, which is the length separating the bottom 25% from the top 75%.
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