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AleksandrR [38]
4 years ago
7

Suppose two people, mary and carrie, are up for the same job. mary took the american test of academic ability and received a sco

re 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.
Mathematics
1 answer:
jarptica [38.1K]4 years ago
3 0
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
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