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common design requirement is that an environment must fit the range of people wh

ID: 3291815 • Letter: C

Question

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

21.521.5

in. and a standard deviation of

1.11.1

in. Females have sitting knee heights that are normally distributed with a mean of

19.319.3

in. and a standard deviation of

1.01.0

in.

What is the minimum table clearance required to satisfy the requirement of fitting 95% of men?

nothing

in. (Round to one decimal place as needed.)

Use this information to answer the following questions.

Explanation / Answer

From z table,

P(z < 1.645) = 0.95

Hence,

Minimum table clearance required to satisfy the requirement of fitting 95% of men

= 21.5 + 1.645*1.1

= 23.3 in