The average math SAT score is 514 with a standard deviation of 112. 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 543. Is the high school justified in its claim? Explain. , because the z-score() is since it within the range of a usual event, namely within of the mean of the sample means. (Round to two decimal places as needed.)