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national multiple family submetering and allocation billing program ...

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Figure 5.1 shows the frequency distribution of water use for each of these four groups,<br />

using the combined 2001-2002 historic <strong>billing</strong> data. These histograms are plotted as lines rather<br />

than bars to make it easier to compare the shape of each distribution. The in-rent, submetered,<br />

<strong>and</strong> RUBS frequency distributions are quite similar in shape with the RUBS curve slightly<br />

elevated in the 60 – 90 kgal/unit/year range. The hot water hybrid distribution appears to be<br />

markedly shifted to the left (suggesting lower water use), but higher use in the 70 – 110<br />

kgal/unit/year range pushed the average up.<br />

25%<br />

20%<br />

Relative Frequency<br />

15%<br />

10%<br />

5%<br />

0%<br />

10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200<br />

Avg. Annual Water Use Per Unit (kgal)<br />

In-Rent Submetered RUBS Hot Water Hybrid<br />

Figure 5.1 Frequency distribution, avg. annual water use per unit, postcard survey<br />

respondents<br />

Three separate t-tests were performed comparing the annual per unit water use (2001 <strong>and</strong><br />

2002) from the in-rent properties first against the submetered properties, then the RUBS<br />

properties, <strong>and</strong> finally the hot water hybrid properties. The purpose of these analyses was to<br />

determine if a statistically significant difference in water use exists between any of these groups<br />

at the 95% confidence level. The results of these t-tests are shown in Table 5.7. The null<br />

hypothesis in each test was that the difference in mean water use was 0. The alpha-level for a<br />

95% confidence level was 0.05. Only the difference in means between the in-rent <strong>and</strong> the<br />

submetered properties proved to be statistically significant at the 95% confidence level. There<br />

134

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