Refer to Example 10.1.19.
(a) Verify that the bootstrap mean and variance of the sample 2, 4, 9, 12 are 6.75 and 3.94, respectively.
(b) Verify that 6.75 is the mean of the original sample.
(c) Verify that, when we divide by n instead of n - 1, the bootstrap variance of the mean, and the usual estimate of the variance of the mean axe the same.
(d) Show how to calculate the bootstrap mean and standard error using the

distinct possible resamples.
(e) Establish parts (b) and (c) for a general sample X1, X2,..., Xn.

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