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In 2011, NBA teams score 99 points per game on average with a standard deviation of 6 points per game. Suppose that we randomly sample

In 2011, NBA teams score 99 points per game on average with a standard deviation of 6 points per game. Suppose that we randomly sample 36 NBA scores from this season and consider x: the average points per game scored in this sample. Calculate P(x 1 < 99 < x + 1). How does this probability change if you instead take a sample of size 144? Of size 324?

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