The Trends in International Mathematics and Science Study (TIMSS) measures the mathematical achievement of eighth- graders of

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The Trends in International Mathematics and Science Study (TIMSS) measures the mathematical achievement of eighth- graders of various countries.
a. The scores of countries in 2007 are approximately normally distributed with mean 454.1 points and standard deviation 74.2 points. Is the United States’ score of 508 points unusual?
b. The scores of countries in 2011 are approximately normally distributed with mean 490.5 points and standard deviation 72.0 points. Is the United States’ score of 541 points unusual?
c. Relative to other countries, did the United States perform better in 2007 or 2011? Explain.
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