Question: Consider a normal random variable with mean 10 and standard deviation 4. Suppose that a random sample of size 16 is drawn from this distribution

Consider a normal random variable with mean 10 and standard deviation 4. Suppose that a random sample of size 16 is drawn from this distribution and the sample mean is computed. We know that the standard error of the sample mean in this case is σ / √n = σ / √16 = 1. Use the bootstrap method with n_B = 200 bootstrap samples to find the standard error of the sample mean. Compare the bootstrap standard error to the actual standard error.

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