Contamination of mine soils in China is a serious environmentalproblem. The article

Chapter 8, Problem 61

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Contamination of mine soils in China is a serious environmentalproblem. The article Heavy MetalContamination in Soils and Phytoaccumulation in aManganese Mine Wasteland, South China (Air,Soil, and Water Res., 2008: 3141) reported that, for asample of 3 soil specimens from a certain restored miningarea, the sample mean concentration of Total Cuwas 45.31 mg/kg with a corresponding (estimated)standard error of the mean of 5.26. It was also statedthat the China background value for this concentrationwas 20. The results of various statistical tests describedin the article were predicated on assuming normality.a. Does the data provide strong evidence for concludingthat the true average concentration in the sampledregion exceeds the stated background value?Carry out a test at significance level .01. Does theresult surprise you? Explain.b. Referring back to the test of (a), how likely is it thatthe P-value would be at least .01 when the true averageconcentration is 50 and the true standard deviationof concentration is 10?

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