The accompanying data set consists of observationson shower-flow rate (L/min) for a sample of n 5 129houses in Perth, Australia (“An Application of BayesMethodology to the Analysis of Diary Records in aWater Use Study,” J. Amer. Stat. Assoc., 1987:705–711):4.6 12.3 7.1 7.0 4.0 9.2 6.7 6.9 11.5 5.111.2 10.5 14.3 8.0 8.8 6.4 5.1 5.6 9.6 7.57.5 6.2 5.8 2.3 3.4 10.4 9.8 6.6 3.7 6.48.3 6.5 7.6 9.3 9.2 7.3 5.0 6.3 13.8 6.25.4 4.8 7.5 6.0 6.9 10.8 7.5 6.6 5.0 3.37.6 3.9 11.9 2.2 15.0 7.2 6.1 15.3 18.9 7.25.4 5.5 4.3 9.0 12.7 11.3 7.4 5.0 3.5 8.28.4 7.3 10.3 11.9 6.0 5.6 9.5 9.3 10.4 9.75.1 6.7 10.2 6.2 8.4 7.0 4.8 5.6 10.5 14.610.8 15.5 7.5 6.4 3.4 5.5 6.6 5.9 15.0 9.67.8 7.0 6.9 4.1 3.6 11.9 3.7 5.7 6.8 11.39.3 9.6 10.4 9.3 6.9 9.8 9.1 10.6 4.5 6.28.3 3.2 4.9 5.0 6.0 8.2 6.3 3.8 6.0 b. What is a typical, or representative, flow rate?

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The accompanying data set consists of observations
on shower-flow rate (L/min) for a sample of n 5 129
houses in Perth, Australia (“An Application of Bayes
Methodology to the Analysis of Diary Records in a
Water Use Study,” J. Amer. Stat. Assoc., 1987:
705–711):
4.6 12.3 7.1 7.0 4.0 9.2 6.7 6.9 11.5 5.1
11.2 10.5 14.3 8.0 8.8 6.4 5.1 5.6 9.6 7.5
7.5 6.2 5.8 2.3 3.4 10.4 9.8 6.6 3.7 6.4
8.3 6.5 7.6 9.3 9.2 7.3 5.0 6.3 13.8 6.2
5.4 4.8 7.5 6.0 6.9 10.8 7.5 6.6 5.0 3.3
7.6 3.9 11.9 2.2 15.0 7.2 6.1 15.3 18.9 7.2
5.4 5.5 4.3 9.0 12.7 11.3 7.4 5.0 3.5 8.2
8.4 7.3 10.3 11.9 6.0 5.6 9.5 9.3 10.4 9.7
5.1 6.7 10.2 6.2 8.4 7.0 4.8 5.6 10.5 14.6
10.8 15.5 7.5 6.4 3.4 5.5 6.6 5.9 15.0 9.6
7.8 7.0 6.9 4.1 3.6 11.9 3.7 5.7 6.8 11.3
9.3 9.6 10.4 9.3 6.9 9.8 9.1 10.6 4.5 6.2
8.3 3.2 4.9 5.0 6.0 8.2 6.3 3.8 6.0

b. What is a typical, or representative, flow rate?

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