<PRE><B>Question 526355</B>
 The average math SAT score is 513 with a standard deviation of 113. A particular high school claims that its students have unusually high math SAT scores. A random sample of 45 students from this school was selected and the mean math SAT score was 557. Is the high school justified in its claim?
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z(557) = (557-513)/[113/sqrt(45)) = 2.6120
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Since the score is more than 2 standard deviations above the mean, the
hs is justified in its claim.
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Cheers,
Stan H.

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