Turbid water is muddy or cloudy water. Sunlight is necessary for most life forms; thus turbid water is considered a threat to wetland ecosystems. Passive filtration systems are commonly used to reduce...


Turbid water is muddy or cloudy water. Sunlight is necessary for most life forms; thus turbid water is considered a threat to wetland ecosystems. Passive filtration systems are commonly used to reduce turbidity in wetlands. Suspended solids are measured in mg/l. Is there a relation between input and output turbidity for a passive filtration system and, if so, is it statistically significant? At a wetlands environment in Illinois, the inlet and outlet turbidity of a passive filtration system have been measured. A random sample of measurements are shown below. (Reference:EPA Wetland Case Studies.)




















































Reading

1

2

3

4

5

6

7

8

9

10

11

12

Inlet (mg/l)
59.125.770.571.037.643.513.124.216.749.167.631.7

Outlet (mg/l)
18.214.315.317.513.18.04.14.44.35.816.37.1


Use a 1% level of significance to test the claim that there is a monotone relationship (either way) between the ranks of the inlet readings and outlet readings.


(a) Rank-order the inlet readings using 1 as the largest data value. Also rank-order the outlet readings using 1 as the largest data value. Then construct a table of ranks to be used for a Spearman rank correlation test.





















ReadingInlet
Rankx
Oulet
Ranky

d =x -y

d
2
1
2
3
4
5
6
7
8
9
10
11
12












































































































Σd
2 =






Jun 08, 2022
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