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#33 Babita Turbid water is muddy or cloudy water. Sunlight is necessary for most life forms; thus...

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Statistics

#33 Babita

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

Reading123456789101112
Inlet(mg/l)88.558.569.858.080.420.218.463.691.555.770.590.5
Outlet(mg/l)9.94.213.45.89.44.83.210.516.13.57.614.5

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

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

ReadingInlet
Rank x		Oulet
Rank y		d = x -yd2
1
2
3
4
5
6
7
8
9
10
11
12
















































Σd2 =

(c) Compute the sample test statistic. (Use 3 decimalplaces.)

Answer & Explanation Solved by verified expert
4.5 Ratings (727 Votes)
a From the given dataXYRanks of XRanks of Ydi    See Answer
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