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A common design requirement is that an item (such as an aircraft or theater seat) must fit the range of people who fall between the 5th percentile for women and the 95th percentile for men. If this requirement is adopted, what is the minimum sitting distance and what is the maximum sitting distance? For the siting distance, use the buttock-to-knee length. Men have buttock-to-knee length that are normally distributed with a mean of 23.5 in. and a standard deviation of 1.1 in. Women have buttock-to-knee lengths that are normally distributed with a mean of 22.7 in and a standard deviation of 1.0 in.
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The expert determines if the buttock-to-knee lengths are normally distributed with a mean of 22.7 in a standard deviation. A complete, neat and step-by-step solution is provided.
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Area under the normal curve is 5% or 0.05 to the left of z = -1.645 and it is 5% to the right ...
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