Question

Paul Lévy proved a “generalized” version of this statement, which relies on the concept of alpha-stability. A version of this statement that requires the existence of moments of order 2 + delta (“two plus delta”), where delta is usually set to one, was introduced by Lyapunov. After flipping a coin 3,600 times, Abraham de Moivre proved a special case of this statement when measuring the number of “successes” in a series of independent Bernoulli trials. Textbooks often repeat the myth that this theorem provides a good approximation when N is above 30. This theorem underpins statistical inference, not the similar law of large numbers. For 10 points, name this theorem which states that the rescaled sample mean of iid (“i i d”) random variables converges to a normal distribution. ■END■ (0[1])

ANSWER: central limit theorem [or CLT; accept generalized central limit theorem or generalized CLT or Lyapunov central limit theorem or Lyapunov CLT]
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= Average correct buzz position

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Buzzes

PlayerTeamOpponentBuzz PositionValue
Chase BarrickLehigh APenn State B1230

Summary