The average math SAT score is 520 with a standard deviation of 114. A particular high school claims that its students have unusually high math SAT scores. A random sample of 45 students from this school wasselected, and the mean math SAT score was 549. Is the high school justified in itsclaim? Explain.

a) Yes or no?

b) z-score =

c) unusual or not unusual

d) does or does not lie within range

e) within how many standard deviations (1, 2, or 3)