The average math SAT score is 523 with standard deviation of 118. A specific 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 560. Is the high school justified in its claim? Explain.
(Yes or No), because the Z-score, 2.1, is (not unusual or unusual) since it (lies or does not lie) within the range of a usual event, namely within (1 standard deviation or 2 standard deviations or 3 standard deviations) of the mean of the sample means.