standard deviation

Question

 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 569
Is the high school justified in its claim? Explain.

Yes/no Because the z score ____ is unusual/ not unusual since it lies/does not lie withing the range of a usual even, namely within 1 standard deviation/2 standard deviations/3standard deviations of the mean of the sample means.

 
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