The average math SAT score is 523 with a standard deviation of 115. 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 564. Is the high school justified in its claim? Explain by answering the questions below.
A. Yes or No? (Pick one)
B. The Z-score, which is ___, is Unusual or Not unusual? (Pick one)
C. The Z score Lies or Does not lie (Pick one) within the range of a usual event
D. The range of an usual event is within 1 standard deviation or - 2 standard deviations or -3 standard deviations - of the mean of the sample means.