(a) This question assesses statistical reasoning, the recognition that large samples of information are more likely to reflect true scores and abilities than small samples of information. For example, if you flip a fair coin four times, it is not unusual to get all heads or all tails, but if you flip the coin a thousand times, it is extremely unlikely that you will get all heads or all tails. Applied to this example, this statistical principle says that when baseball players have a small number of at-bats, it is not unusual to see very high (or very low) averages just by chance. By the end of the season, however, when baseball players have hundreds of at-bats, it is highly unlikely that they will have a very high average just by luck.
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