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A state administered standardized reading exam is given to eighth grade students. The scores on this...

A state administered standardized reading exam is given to eighth grade students. The scores on this exam for all students statewide have a normal distribution with a mean of 532 and a standard deviation of 48. A local Junior High principal has decided to give an award to any student who scores in the top 10% of statewide scores. How high should a student score be to win this award? Give your answer to the nearest integer.

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Answer #1

Given that,

P(Z > 1.28) = 0.10

z = 1.28

Using z-score formula,

x = z * +

x = 1.32 * 48 + 532 = 595.36

Score = 596

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