Statement of a problem № m40884


Can taking chess lessons and playing chess daily improve memory? The online article “The USA Junior Chess Olympics Research: Developing Memory and Verbal Reasoning” (New Horizons for Learning, April 2001; available at describes a study in which sixth-grade students who had not previously played chess participated in a program in which they took chess lessons and played chess daily for 9 months. Each student took a memory test before starting the chess program and again at the end of the 9-month period. Data (read from a graph in the article) and computed differences are given in the accompanying table. The author of the article wanted to know if these data support the claim that students who participated in the chess program tend to achieve higher memory scores after completion of the program. Carry out a hypothesis test to answer this question.

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