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A random sample of the duration of the eruption for the Old Faithful geyser in Yellowstone National Park, Wyoming, USA is given below: 2.0 4.6

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A random sample of the duration of the eruption for the Old Faithful geyser in Yellowstone National Park, Wyoming, USA is given below: 2.0 4.6 4.2 4.4 4.0 1.8 4.5 4.0 4.5 4.3 4.1 1.8 4.3 1.9 3.5 4.8 4.8 4.0 4.6 4.1 The coefficient of variation of this data is given by cv = 0.2727506. R. was used to generate 20 bootstrap samples of size 20. The coefficients of variation were calculated for each bootstrap sample as follows: 0.20 0.30 0.24 0.33 0.27 0.38 0.20 0.19 0.31 0.24 0.38 0.20 0.27 0.25 0.30 0.33 0.20 0.28 0.28 0.30 The sum of the above 20 coefficient of variation is 5.45. (a) Calculate the bootstrap estimate of the bias of the sample coefficient of variation.

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