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Q3. (a) A fruit farmer wants to compare the fruit crops yield of 3 varieties of durian seeds (Musang King, Udang Merah and Black Thorn).

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Q3. (a) A fruit farmer wants to compare the fruit crops yield of 3 varieties of durian seeds (Musang King, Udang Merah and Black Thorn). The farmer plants 15 fields, 5 for each variety. He then measures the fruit crop in tons per acre. Treating this as completely randomized design, the results are presented in the table that is given as below. Musang King Udang Merah Black Thorn 11.1 19.0 14.6 13.5 18.0 15.7 15.3 19.8 16.8 14.6 19.6 16.7 9.8 16.6 15.2 Fill in the missing entries in the partial ANOVA table given below: Source SS df MS F p-values Among 0.000508 groups Within 2.70 groups Total 114.82 14 State the relevant hypotheses at 1% level of significance, can the null hypothesis be rejected? If true, by using the Tukey-Kramer procedure, help the farmer to determine which of the means are significantly different from one another using an overall level of 0.01. (Use Qy = 5.04) (20 marks)

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