SOLUTION: SAT scores have a mean of 1026 and a standard deviation of 209. ACT scores have a mean of 20.8 and a standard deviation of 4.8. A student takes both test and scores 1130 on the SAT

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Question 74649This question is from textbook Elementary Statistics
: SAT scores have a mean of 1026 and a standard deviation of 209. ACT scores have a mean of 20.8 and a standard deviation of 4.8. A student takes both test and scores 1130 on the SAT and 25 on the ACT. Compare the scores. This question is from textbook Elementary Statistics

Answer by stanbon(75887) About Me  (Show Source):
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SAT scores have a mean of 1026 and a standard deviation of 209. ACT scores have a mean of 20.8 and a standard deviation of 4.8. A student takes both test and scores 1130 on the SAT and 25 on the ACT. Compare the scores.
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Convert both to z-scores so you can compare them on the same scale.
SAT:
z(1130)=(1130-1026)/209 = 0.4976...
ACT:
z(25)=(25-20.8)/4.8 = 0.875
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The 25 on the ACT is a higher score than the 1130 on the SAT.
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Cheers,
Stan H.