The Wall Street Journal reported that General Electric was sued in Texas for sex

Question

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:

Explanation / Answer

P(Z<1.6)=.9452

to achieve that x-66=3.2

hence x=69.2 inches

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