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

Question

A common design requirement is that an environment must fit the range of people who fall between the 5th percentile for women and the 95thpercentile for men.In designing an assembly worktable, 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 21.4 in. and a standard deviation of 1.4in. Females have sitting knee heights that are normally distributed with a mean of 19.2 in. and a standard deviation of 1.3in. Use this information to answer the following questions. What is the minimum table clearance required to satisfy the requirement of fitting 95% of men?

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

Explanation / Answer

THE FORMULA TO BE USED IN THIS QUESTION IS

X = MEAN + Z*STANDARD DEVIATION

FOR 95% = 0.95 WE HAVE THE Z SCORE = 1.645

THE MEAN = 21.4

STANDARD DEVIATION = 1.4

THEREFORE X = 21.4+1.645*1.4 = 23.703

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