SOLUTION: A student scores 62 on a geography test and 246 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 15. The mathematics test has a mean of 300 an

Question 345231: A student scores 62 on a geography test and 246 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 15. The mathematics test has a mean of 300 and a standard deviation of 36. If the data for both tests are normally distributed, on which test did the student score better relative to the other students in each class?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A student scores 62 on a geography test and 246 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 15. The mathematics test has a mean of 300 and a standard deviation of 36. If the data for both tests are normally distributed, on which test did the student score better relative to the other students in each class?
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Geography:
z(62) = (62-80)/15 = -1.2
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Mathematics:
z(246) = (246- 300)/36 = -1.5
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The geography is the higher score relative to the other students.
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Cheers,
Stan H.
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