An article reported that some company was sued in Texas for sex discrimination o

Question

An article reported that some company was sued in Texas for sex discrimination over a minimum height requirement of 7 in. The suit claimed that this restriction eliminated more than 95% of adult females from consideration. Let x represent the height of a randomly selected adult woman. Sup that x is approximately normally disturbed mean 66 in. (5 ft 6 in and standard deviation 1 in (a) is the claim that 95% of all women are shorter than 5 ft 7 in, correct? (b) What proportion of adult women would be excluded from employment as a result of the height restriction? (Round the answer to one decimal place) You may need to use the appropriate table in Appendix A to answer this question

Explanation / Answer

(a) x = 67, = 66, = 1

z = (x - )/s = (67 - 66)/1 = 1

P(x < 67) = P(z < 1) = 0.8413 (84.13%)

The claim is not true

(b) 0.8413 proportion would be excluded from employment.

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