The Wall Street Journal reported that General Electric was s

The Wall Street Journal reported that General Electric was sued in Texas for sex discrimination over a minimum height requirement of 5ft. 7in. The suit claimed that this restriction eliminated more than 94% of adult females from consideration.

Suppose that the height of a randomly selected adult woman is approximately normal with mean 66in. (5ft. 6in.) and standard deviation 2in.

The lawsuit claims that 94% of all women are shorter than 5 ft. 7 in. (67in.). To verify this calim, find the minimum height requirement that would exclude 94% of all women.

The minimum height requirement  that would exclude 94% of all women is:

Solution

P(Z<1.6)=.9452

to achieve that x-66=3.2

hence x=69.2 inches