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Asked Jan 16, 2020
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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)

Find the probability that a female has a back-to-knee length between 22.0 in. and 24.0 in.

Distribution
St. Dev.
Mean
Normal
1.1 in.
23.5 in.
Males
Normal
1.0 in.
22.7 in.
Females
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Distribution St. Dev. Mean Normal 1.1 in. 23.5 in. Males Normal 1.0 in. 22.7 in. Females

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Expert Answer

Step 1

The random variable x represents back-to-knee lengths of female.

Step 2
Statistics homework question answer, step 2, image 1
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Step 3

The shaded region in Figure (1) represents the probability of the back-to-knee length of female between 22.0 in. and 24.0 in.

The area of the shaded region ...

Statistics homework question answer, step 3, image 1
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