Question: 53 Let Y1, . . . , Y be a random sample and l7 the sample mean. Show that the third central moment of the

53" Let Y1, . . . , Y be a random sample and l7 the sample mean. Show that the third central moment of the distribution of l7 is equal to pig2, where #3 is the third central moment of the population distribution. Find a general formula for the r\" central moment of the sample mean

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