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Both of the two top college entrance examination providers, the SAT and the ACT, produce standardized test scores assessing a student's knowledge and problem solving

Both of the two top college entrance examination providers, the SAT and the ACT, produce standardized test scores assessing a student's knowledge and problem solving ability in mathematics. The SAT examination in mathematics has a mean score of 500 with a standard deviation of 100. The ACT examination in mathematics has a mean score of 18 with a standard deviation of 6.

Which student, Michael who scored a 642 on his SAT mathematics examination or Courtney who scored a 29 on her ACT mathematics examination, had a relatively better mathematics examination score?

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