Question: A teacher wants to perfom a hypothesis test to compare the mean math score of girls and the mean math score of boys. She randomly selects 10 girls and 10 boys. She arranges the girls alphabetically and the boys alphabetically. She pairs the girls and boys based on their order in their respective lists (first girl with first boy, and so on). Then she does a paired t test. Do you think this is the most appropriate procedure? If yes, explain why? If not, explain why not and offer a more appropriate procedure.

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