If a random variable Y is normally distributed with mean and standard deviation , the Z ratio Y / is often referred to

If a random variable Y is normally distributed with mean μ and standard deviation σ, the Z ratio Y – μ/σ is often referred to as a normed score: It indicates the magnitude of y relative to the distribution from which it came. "Norming" is sometimes used as an affirmative action mechanism in hiring decisions. Suppose a cosmetics company is seeking a new sales manager. The aptitude test they have traditionally given for that position shows a distinct gender bias: Scores for men are normally distributed with μ = 62.0 and σ = 7.6, while scores for women are normally distributed with μ = 76.3 and σ = 10.8. Laura and Michael are the two candidates vying for the position: Laura has scored 92 on the test and Michael 75. If the company agrees to norm the scores for gender bias, whom should they hire?