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 65in. (5ft. 5in.) 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. Round your answer to the nearest inch.

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

Explanation / Answer

as we know that for 94 percentile z score =1.5548

therefore  minimum height requirement  that would exclude 94% of all women is =mean +z*std deviation

=65+1.5548*2=68.11 ~ 68 inch

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