16.1 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 (26.47), a 2 means select the second member (0.00), 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 standard deviation of the bootstrap distribution.