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Reckhow et al. (EST, 1990) performed a study on the chlorination of humic materials. The following t

Question: Reckhow et al. (ES&T, 1990) performed a study on the chlorination of humic materials. The following table contains part of the results:

Acid	Chlorine Consumed (mg/mg of TOC)	Specific Yield, (mg/mg of TOC)
		Total Organic Halide (TOX)	Trichloroacetic Acid (TCAA)
fulvic	1.28	119	0.5
fulvic	1.40	126	0.7
fulvic	1.20	129	0.5
fulvic	1.06	96	0.7
fulvic	0.76	69	0.3
Humic	1.74	138	0.8
Humic	1.60	123	0.7
Humic	1.56	128	0.6
Humic	1.54	138	0.9
Humic	1.52	121	0.9

Assuming the samples were from a normal distribution:

a) what is the 95% confidence interval for the true mean TOX from humic acid and fulvic acid, respectively?

b) What is the 99% confidence interval for the true mean TOX from humic acid and from fulvic acid respectively?

c) Test Hypothesis: (a=0.01)

\[\begin{aligned} & {{H}_{\circ }}:{{\mu }_{chlorine,fulvic}}={{\mu }_{chlorine,humic}}.....vs.....{{H}_{A}}:{{\mu }_{chlorine,fulvic}}\ne {{\mu }_{chlorine,humic}} \\ & {{H}_{\circ }}:{{\mu }_{TOX,fulvic}}={{\mu }_{TOX,humic}}.....vs.....{{H}_{A}}:{{\mu }_{TOX,fulvic}}\ne {{\mu }_{TOX,humic}} \\ & {{H}_{\circ }}:{{\mu }_{TCAA,fulvic}}={{\mu }_{TCAA,humic}}.....vs.....{{H}_{A}}:{{\mu }_{TCAA,fulvic}}\ne {{\mu }_{TCAA,humic}} \\ \end{aligned}\]

d) Briefly discuss your findings.

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