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A researcher wishes to see whether there is any difference in the weight gains of athletes following one of three special diets. Athletes are randomly

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A researcher wishes to see whether there is any difference in the weight gains of athletes following one of three special diets. Athletes are randomly assigned to three groups and placed on the diet for 8 weeks. The weight gains (in pounds) are shown here. The data were analyzed using Minitab and the results are shown below. Analysis of Variance Source DF Adj SS Adj MS FValue PValue Diet {pounds} 2 10l.10 K L 0 . 008 Error ll J 6. 530 Total '13 172-93. a) What are the response and treatment in the experiment above? (2 marks) b) Compute the missing values of J. K and L in the MINITAB output. (3 marks) c) Show that the total sum of diet is 101.10 using the data given in the table above. (3 marks) d) At 1% signicance level, is there sufficient evidence to conclude that there is any difference in the mean weight gains of athletes according to three diets? (4 marks)

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