Suppose that X1, . . . , Xn is a sample from a

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Suppose that X1, . . . , Xn is a sample from a distribution whose variance 2 is unknown. Suppose we are planning to estimate 2 by the sample variance S2 _ = ni =1(Xi X)2/(n1), and we want to use the bootstrap technique to estimate Var(S2). (a) If n = 2 and X1 = 1 and X2 = 3, what is the bootstrap estimate of Var(S2)? (b) If n = 15, and the data values are 5, 4, 9, 6, 21, 17, 11, 20, 7, 10, 21, 15, 13, 8, 6 use simulation to obtain the bootstrap estimate of Var(S2).

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