The average math SAT score is 525 with a standard deviation of 112. A particular

Question

The average math SAT score is 525 with a standard deviation of 112. A particular high school claims that its students have unusually high math SAT scores. A random sample of 50 students from this school was selected, and the mean math SAT score was 558. Is the high school justified in its claim

(YES,NO) because the z-score (__) is (UNSAUAL, NOT UNSAUAL) since it (LIES, DOESN'T LIE) within the range of a usual event, namely within (1 STANDARD DEVIATION, 2 STANDARD DEVIATION, 3 STANDARD DEVIATION) of the mean of the sample mean.

Explanation / Answer

z-score = (X-X-bar) / (sigma/sqrt(n))

= (558 - 525) / (112 / srt (50))

= 33 / (15.83)

= 2.08

Yes , justified because z -score 2.08 is not unusual since it lies within the range of usual event .

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