SOLUTION: James scored 64% on the first test, and 70% on the second. Was James right in thinking that he had a much better result in the second test? Term 1 test mean=58% Standard devi

Question 973593: James scored 64% on the first test, and 70% on the second. Was James right in thinking that he had a much better result in the second test?
Term 1 test mean=58% Standard deviation=6
Term 2 mean=65% Standard deviation= 5

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
James scored 64% on the first test, and 70% on the second. Was James right in thinking that he had a much better result in the second test?
Term 1 test mean=58% Standard deviation=6
Term 2 mean=65% Standard deviation= 5
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Procedure:: Compare the z-scores
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z(64) = (64-58)/6 = 7/6
z(70) = (70-65)/5 = 1
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Ans: Since 7/6 > 1, the 1st test score was better.
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Cheers,
Stan H.
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