The average math SAT score is 520 with a standard deviation of 116. 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 561. Is the high school justified in its claim? Explain. V. because the z-score ) is V since it within the range of a usual event, namely within V of the mean of the sample means. (Round to two decimal places as needed.)

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