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{"ops":[{"insert":"Research Methods\nFour kinds of fertilisers F1, F2, F3 and F4 were used to study the yield of soya beans. The soil is divided into 3 types, sandy soil, loam soil and clay soil each containing 4 homogeneous plots. The yields in kg per plot against the corresponding treatments are given in the table below:\n           Sandy soil      Loam soil      Clay soil\nF1           42.7               50.0               51.9\nF2           39.3               38.0               46.3\nF3           48.5               50.9               53.5\nF4           32.8               40.2               51.1\n\u00a0(i) Give the mathematical model for the design in (b) above defining all terms in the context of the study [4]\n(ii) Using parametric Analysis of Variance (ANOVA), test the following hypotheses at \u03b1 = 0.05 significance level:\nH0 : F 1 = F 2 = F 3 = F 4 and\nH0 : \u03bcSandsoil = \u03bcLoamsoil = \u03bcClaysoil [5;5]\n(iii) Identify the appropriate design for the experiment\n(iv) State the null hypothesis for the treatment (fertilizer)\n(v) State the alternative hypothesis for the soil type\n(vi) Calculate the correction factor to 1 decimal place [2]\n"}]}

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