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

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Question 286946: 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) About Me  (Show Source):
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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.
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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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Use the z-measure to answer the question.
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Geography: z(62) = (62-80)/15 = -1.2
1.2 standard deviations below the mean
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Mathematics: z(246) = (246-300)/36 = -1.5
1.5 standard deviations below the mean
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The geography score is the better score.
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Cheers,
Stan H.