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The average math SAT score is 525 with a standard deviation of 113. A particular high...

The average math SAT score is 525 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 554. Is the high school justified in its​ claim? Explain.

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Answer #1

Using central limit theorem,

z = ( - ) / ( / sqrt(n) )

= ( 554 - 525 ) / ( 113 / sqrt(45) )

= 1.72

Since this z-score is between -2 and 2 , the event is not unusual.

The score 554 is not high.

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