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A school psychologist was interested in whether the 12 students in the chess club had a...

A school psychologist was interested in whether the 12 students in the chess club had a higher or lower mean grade point average (GPA) than the other students at a school. The overall GPA at the school was 2.55 with a standard deviation of 0.5; the distribution of GPAs was approximately normal. The average GPA of students in the chess club was 2.76. Using the .05 significance level, did the chess club represent a population that was different from students in general at this school?

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