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The average math SAT score is 514 with a standard deviation of 113. A particular high school claims that its students have unusually high math

The average math SAT score is

514

with a standard deviation of

113.

A particular high school claims that its students have unusually high math SAT scores. A random sample of

40

students from this school was selected, and the mean math SAT score was

558.

Is the high school justified in its claim? Explain.

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