Question
Asked Jan 16, 2020
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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 greater than 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

Standard Normal distribution:

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

The region to the right of is shaded as shown below:

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

z-score:

The area of the shaded region can be found by converting the x value to z score.

Substitute 24.0 for x, 22.7 for ...

Statistics homework question answer, step 2, image 1
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