SOLUTION: 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 stud

Question 526355: 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?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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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