Question 635031
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Hi,
average math SAT score is 516 with a standard deviation of 117.
Sample of 45 with mean math score of 549
z-score is easy enough.  One tailed test
 z = {{{(549-516)/(117/sqrt(45)) = 1.892}}}
For a Sample group of size 45, generally an acceptable critcal area is z &#8805; 1.68 (using One-tailed test)
That being the case, a z-score of 1.892 would be unusual as is 1.892 > 1.68