Question: The sample mean table and the ANOVA table are given as below. I II III All groups F 10 7 6 X.M. = 7.7 M

The sample mean table and the ANOVA table are given as

The sample mean table and the ANOVA table are given as below. I II III All groups F 10 7 6 X.M. = 7.7 M 14 10 X.F. = 10.3 Both blocks XI.. XII.. XIII.. X Source of Variation Sum of squares Degree of Freedom Mean Squares F Ratio Total SST = 200 Between Groups SSG Between Blocks (Gender) SSB = 32 Interaction SSI Error SSE = 68 I-1. Find XL.., XII.., XIII. and X. 4 points I-2. Find SSG. [Answers without proper calculation and/or justification will NOT get points.|3 points I-3. Find SSI. [Answers without proper calculation and/ or justification will NOT get points.|2 points I-4. Complete the ANOVA table including the degrees of freedoms, mean squares and F ratios. 6 points I-5. State three kinds of null hypotheses and the corresponding alternative hypotheses related to groups, blocks (genders), and interaction respectively.6 points I-6. Conduct appropriate tests to the hypotheses you provided in question I-5 and decide whether the three nulls can be rejected at the 5% level. [Answers without proper calculation and/ or justification will NOT get points.]9 points

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