The article "Gypsum Effect on the Aggregate Size and Geometry of Three Sodic Soils Under Reclamation" (I. Lebron, D. Suarez, and T. Yoshida, Journal of the Soil Science Society of America, 2002:92-98) reports on an experiment in which gypsum was added in various amounts to soil samples before leaching. One of the outcomes of interest was the \(\mathrm{pH}\) of the soil. Gypsum was added in four different amounts. Three soil samples received each amount added. The \(\mathrm{pH}\) measurements of the samples are presented in the following table.

Can you conclude that the \(\mathrm{pH}\) differs with the amount of gypsum added? Provide the value of the test statistic and the \(P\)-value.

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Gypsum (g/kg) 0.00 0.11 0.19 0.38 PH 7.88 7.72 7.68 7.81 7.64 7.85 7.84 7.63 7.87 7.80 7.73 8.00