Suppose two people, mary and carrie, are up for the same job. mary took the american test of academic ability and received a score of 124 on this test. scores on this test are normally distributed with a mean of 110 and a standard deviation of 8. carrie took the national academic achievement test and received a score of 289. scores on this test are normally distributed with a mean of 250 and a standard deviation of 20. when being considered for the job, both of these tests count equally. find the z score that corresponds to marys test score and the z score that corresponds to carries test score. round to the nearest thousandth.
Z-scores (left tail) of a given variable X are calculated by Z(x)=(x-mean)/standard deviation. For Mary: Zm(124)=(124-110)/8=14/8=1.75 For Carrie: Zc(289)=(289-250)/20=39/20=1.95 therefore Zc>Zm
