A Simple Random Sample of Size Four Is Selected from a Certain

question 10

Multiple Choice

A simple random sample of size four is selected from a certain population.The sample yields the following data. 1 8 4 3
Suppose we bootstrap the mean of these data by drawing 1000 resamples.Suppose we find that the mean of the bootstrap distribution is 4.01.What is the bootstrap estimate of the bias of the statistic?

• A)0.01
• B)The difference between 4.01 and the unknown population mean
• C)This cannot be calculated without knowing the actual values of each of the 1000 resamples.
• D)Zero,since the sample mean is an unbiased estimator of the population mean

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