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A small bootstrap example. To illustrate the bootstrap procedure, let's bootstrap a small random subset of the Verizon data:
26.47
0.00
5.32
17.30
29.78
3.67
(a) Sample with replacement from this initial SRS by rolling a die. Rolling a 1 means select the first member of the SRS, a 2 means select the second member, and so on. (You can also use Table B of random digits, responding only to digits 1 to 6.) Create 20 resamples of size n = 6.
(b) Calculate the sample mean for each of the resamples.
(c) Make a stemplot of the means of the 20 resamples. This is the bootstrap distribution.
(d) Calculate the bootstrap standard error.
What are the limitations of this analysis? Can you think of some hidden variables that could affect what you are seeing in the data?
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