Question 184491: A person scores 81 on a test of verbal ability and 6.4 on a test of quantitative ability. For the verbal ability test, the mean for people in general is 50 and the standard deviation is 20. For the quantitative ability test, the mean for people in general is 0 and the standard deviation is 5. Which is this person’s stronger ability: verbal or quantitative? Explain your answer to a person who has never had a course in statistics.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A person scores 81 on a test of verbal ability and 6.4 on a test of quantitative ability.
For the verbal ability test, the mean for people in general is 50 and the standard deviation is 20.
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81 is 31 above the verbal ability test Mean of 50.
31 is (31/20) = 1.5
So 81 is 1.5 standard deviations above the mean score for verbal ability
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For the quantitative ability test, the mean for people in general is 0 and the standard deviation is 5.
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6.4 is 6.4 above the quantitative ability Mean of 0
6.4 is 6.4/5 = 1.28 standard deviations above the mean of quan. abil. test.
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Which is this person’s stronger ability: verbal or quantitative?
Ans: Verbal
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Explain your answer to a person who has never had a course in statistics.
I'll leave that to you.
Cheers,
Stan H.
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