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

Question

A common design requirement a that an environment must fit the range of people who fall between the 5^th percentile for women and the 95^th percentile for men. in designing on assembly work table, the sitting knee height must be considered. which is the distance from the bottom of the foot to the top of the knee Mates have sitting knee heights that ore normally distributed with a moan of 21 4 in and a standard deviation of 1 3 in Females have sitting knee heights that are normally distributed with a mean of 19 3 in and a standard deviation of 1.2 in 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

It is given that sitting knee heights are normally distributed.

For males, mean = 21.4 inch, sd = 1.3 inch

For females, mean = 19.3 inch, sd= 1.2 inch

As the distribution is given to be normally distributed, we can use the z-table to check the z score corresponding to probability of 0.95. Z score = 1.65

Now Z score = (observed - mean)/sd

1.65 = (observed - 21.4)/1.3

2.145 = observed - 21.4

observed = 2.145 + 21.4 = 23.545

This table clearance value of 23.545 inch will fit 95% of men.

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