<PRE><B>Question 1131966</B>
calculate the z-score for a score of 28 on the first test
:
z-score(28) = (28 - 20)/5.3 = 1.5094 is approximately 1.51
:
Look in the table of z-scores for the associated cumulative probability
:
the cumulative probability = 0.9345 is approximately 93%
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for the second test, we want the same z-score
:
1.51 = (X - 69)/11.8
:
X -69 = 1.51 * 11.8 = 17.818
:
X = 86.818 is approximately 87
:
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a score of 87 is required to be in the same percentile
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