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Four different kinds of fertilizers, A, B, C and D were used to study the yields of star fruits. The soil was divided into twenty

Four different kinds of fertilizers, A, B, C and D were used to study the yields of star fruits. The soil was divided into twenty plots of the same size. The soil was further divided into five blocks according to five regions, each containing four homogenous plots. Fertilizers were randomly assigned to the plots within each block. The yields (in kg per ha) are as follows: Region Fertilizer A B C D Kuching 45.2 43.9 50.0 42.2 Samarahan 50.5 45.2 55.7 48.5 Serian 52.4 48.1 55.8 49.3 Sri Aman 50.5 49.1 54.2 52.8 Betong 58.9 53.6 57.4 51.0 Determine if there is a difference among the four fertilizers at = 0.05. (a) State the hypotheses. (b) Compute the test statistic. (c) Carry out Bonferroni inequality procedure at = 0.10 to test for pairwise differences. (d) Based on your answer, note down a conclusion.

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