Answer to Question #229060 in Other for Ishmael Rashid

Question

Research Methods

Four 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:

Sandy soil Loam soil Clay soil

F1 42.7 50.0 51.9

F2 39.3 38.0 46.3

F3 48.5 50.9 53.5

F4 32.8 40.2 51.1

 (i) Give the mathematical model for the design in (b) above defining all terms in the context of the study [4]

(ii) Using parametric Analysis of Variance (ANOVA), test the following hypotheses at α = 0.05 significance level:

H0 : F 1 = F 2 = F 3 = F 4 and

H0 : μSandsoil = μLoamsoil = μClaysoil [5;5]

(iii) Identify the appropriate design for the experiment

(iv) State the null hypothesis for the treatment (fertilizer)

(v) State the alternative hypothesis for the soil type

(vi) Calculate the correction factor to 1 decimal place [2]

Answer 1

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