The Following Random Sample Was Obtained from a Population with Unknown

Multiple Choice

The following random sample was obtained from a population with unknown mean and standard deviation. From the sample the following statistics were calculated: = 10 and s = 3.16. This sample was used to form the bootstrap distribution of the sample standard deviation based on 1000 resamples.Which of the following statements with respect to this bootstrapping process and distribution is/are FALSE?

A) The distribution of the 1000 resample standard deviations represents the sampling distribution of s.
B) One of the many possible resamples is { 10,12,8,8,6},for which the resample mean and standard deviation are = 8.8 and
= 2.28.
C) The bootstrap mean for the statistic is given by .
D) The bootstrap standard error of the statistic of interest is given by

E) The bootstrap estimate of bias is the difference between the mean of the bootstrap distribution of the 1000 s*'s and the sample standard deviation,s = 3.16.