Unusually high concentration of metals in drinking water can pose a health hazard. Twenty couples of...
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Unusually high concentration of metals in drinking water can pose a health hazard. Twenty couples of data were taken from different locations of Kuş Cenneti Lake measuring zinc concentration in bottom water and surface water. Table 1. Zinc Concentration (mg/l) in bottom and surface water in different regions and areas of Karacakaçan Lake Location Region Area Zinc Bottom Zinc_Surface Zinc_Mean TZ3_Mean Loc 1 2.67 Loc 2 Loc 3 Loc 4 Loc 5 Loc 6 Loc 7 Loc 8 Loc 9 Loc 10 Loc11 Loc 12 Loc 13 Loc 14 Loc 15 Loc 16 Loc 17 Loc 18 Loc 19 Loc 20 North North North North North North North North North North East East East East East East East East East East Area A Area A Area A Area A Area A Area A Area A Area B Area B Area B Area B Area B Area B Area B Area C Area C Area C Area C Area C Area C 0.51 0.46 0.52 0.51 0.58 0.57 0.59 0.46 0.46 0.45 0.41 0.41 0.41 0.47 0.41 0.37 0.41 0.40 0.39 0.46 0.49 0.45 0.52 0.50 0.57 0.55 0.58 0.44 0.44 0.43 0.40 0.39 0.39 0.45 0.39 0.36 0.39 0.39 0.37 0.44 0.50 0.46 0.52 0.50 0.58 0.56 0.59 0.45 0.45 0.44 0.41 0.40 0.40 0.46 0.40 0.37 0.40 0.39 0.38 0.45 2.45 2.66 2.56 3.03 3.21 3.50 2.40 2.35 2.56 1.33 1.56 1.23 1.12 1.23 1.10 1.20 1.10 1.12 1.30 Question: A. Does the data suggest that the true average zinc concentration (Zinc_Mean) is different than 0.425 mg/1? Formulating your hypothesis, conduct the appropriate test and interprete your results (a=0.05). B. Does the data suggest that the true average concentration in the north region is higher than that of east region? Formulating your hypothesis and providing an explanation on the reason of your choice, conduct the appropriate test and interprete your results (0-0.05). C. Does the data suggest that the true average concentration in the bottom water is different than that of surface water? Formulating your hypothesis and providing an explanation on the reason of your test choice, conduct the appropriate test and interprete your results (a=0.05). D. Does the data suggest that the true average zinc concentration change due to "Area"? Formulating your hypothesis and providing an explanation on the reason of your choice, conduct the appropriate test and interprete your results (a=0.05). If necessary, conduct a post-hoc test. E. Does the data suggest that there is a relationship between Zinc concentration and TZ3 concentration? If so, fit a simple regression model which explains zinc concentration (Zinc_Mean) with TZ3 concentration (TZ3_Mean). Obtain the ANOVA table of the regression. Comment on overall significance of the model and the coefficients. F. Including "Region" factor as a dummy variable to your previous model, fit a multiple regression model to explain zinc concentration (Zinc_Mean). Obtain the ANOVA table of the regression. Comment on overall significance of the model and the coefficients of each variable. Do you think adding "Region" next to "TZ3 Mean" improved the model? Discuss. Unusually high concentration of metals in drinking water can pose a health hazard. Twenty couples of data were taken from different locations of Kuş Cenneti Lake measuring zinc concentration in bottom water and surface water. Table 1. Zinc Concentration (mg/l) in bottom and surface water in different regions and areas of Karacakaçan Lake Location Region Area Zinc Bottom Zinc_Surface Zinc_Mean TZ3_Mean Loc 1 2.67 Loc 2 Loc 3 Loc 4 Loc 5 Loc 6 Loc 7 Loc 8 Loc 9 Loc 10 Loc11 Loc 12 Loc 13 Loc 14 Loc 15 Loc 16 Loc 17 Loc 18 Loc 19 Loc 20 North North North North North North North North North North East East East East East East East East East East Area A Area A Area A Area A Area A Area A Area A Area B Area B Area B Area B Area B Area B Area B Area C Area C Area C Area C Area C Area C 0.51 0.46 0.52 0.51 0.58 0.57 0.59 0.46 0.46 0.45 0.41 0.41 0.41 0.47 0.41 0.37 0.41 0.40 0.39 0.46 0.49 0.45 0.52 0.50 0.57 0.55 0.58 0.44 0.44 0.43 0.40 0.39 0.39 0.45 0.39 0.36 0.39 0.39 0.37 0.44 0.50 0.46 0.52 0.50 0.58 0.56 0.59 0.45 0.45 0.44 0.41 0.40 0.40 0.46 0.40 0.37 0.40 0.39 0.38 0.45 2.45 2.66 2.56 3.03 3.21 3.50 2.40 2.35 2.56 1.33 1.56 1.23 1.12 1.23 1.10 1.20 1.10 1.12 1.30 Question: A. Does the data suggest that the true average zinc concentration (Zinc_Mean) is different than 0.425 mg/1? Formulating your hypothesis, conduct the appropriate test and interprete your results (a=0.05). B. Does the data suggest that the true average concentration in the north region is higher than that of east region? Formulating your hypothesis and providing an explanation on the reason of your choice, conduct the appropriate test and interprete your results (0-0.05). C. Does the data suggest that the true average concentration in the bottom water is different than that of surface water? Formulating your hypothesis and providing an explanation on the reason of your test choice, conduct the appropriate test and interprete your results (a=0.05). D. Does the data suggest that the true average zinc concentration change due to "Area"? Formulating your hypothesis and providing an explanation on the reason of your choice, conduct the appropriate test and interprete your results (a=0.05). If necessary, conduct a post-hoc test. E. Does the data suggest that there is a relationship between Zinc concentration and TZ3 concentration? If so, fit a simple regression model which explains zinc concentration (Zinc_Mean) with TZ3 concentration (TZ3_Mean). Obtain the ANOVA table of the regression. Comment on overall significance of the model and the coefficients. F. Including "Region" factor as a dummy variable to your previous model, fit a multiple regression model to explain zinc concentration (Zinc_Mean). Obtain the ANOVA table of the regression. Comment on overall significance of the model and the coefficients of each variable. Do you think adding "Region" next to "TZ3 Mean" improved the model? Discuss.
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A Does the data suggest that the true average zinc concentration ZincMean is different than 0425 mg1 Formulating your hypothesis conduct the appropriate test and interprete your results a005 Hypothesi... View the full answer
Related Book For
Fundamentals of Analytical Chemistry
ISBN: 978-0495558286
9th edition
Authors: Douglas A. Skoog,Donald M. West, F. James Holler, Stanley R. Crouch
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